%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% Publications of Hubert Schwetlick, chronologically ordered %% %% Supervised Theses, chronologically ordered %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% Textbooks, Monographs, and Proceedings %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @book{ Schw/79/pp, author = {Schwetlick, H.}, year = {346 pp., 1979}, title = {Numerische {L}{\"o}sung {n}ichtlinearer {G}leichungen}, series = {Mathematik f\"ur Naturwissenschaft und Technik 17}, publisher = {Deutscher Verlag der Wissenschaften}, address = {Berlin}, note = {Auch: R. Ol\-den\-bourg Verlag, M{\"u}nchen-Wien, 1979}, isbn = {Oldenbourg: ISBN 3-486-21731-3} } @book{ Schw/79, author = {Schwetlick, H.}, year = {1979}, title = {Numerische {L}{\"o}sung {n}ichtlinearer {G}leichungen}, publisher = {Deut\-scher Ver\-lag der Wis\-sen\-schaf\-ten}, address = {Berlin}, note = {Auch: R. Ol\-den\-bourg Verlag, M{\"u}nchen-Wien, 1979}, } @book{ Kie/Schw/88/pp, author = {Kie{\l}basi{\'n}ski, A. and Schwetlick, H.}, year = {472 pp., 1988}, title = {Numerische {l}ineare {A}lgebra. {E}ine {c}om\-pu\-ter\-ori\-en\-tier\-te {E}in\-f{\"u}h\-rung}, publisher = {Deutscher Verlag der Wissenschaften}, address = {Berlin}, series = {Mathematik f\"ur Naturwissenschaft und Technik 18}, note = {Auch: Harri Deutsch Verlag, Thun-Frankfurt, 1988.\\ Polnische \"Ubersetzung: {\em Numeryczna algebra liniowa. Wprowadzenie do oblicze{\'n} zautomatyzowanych.} 502 pp., Wydawnictwa Naukowo-Techniczne, Warszawa, 1992, 2nd ed. 1994}, isbn = {Harri Deutsch: ISBN 3-87144-999-7, WNT: ISBN 83-204-1260-9} } @book{ Kie/Schw/88, author = {Kie{\l}basi{\'n}ski, A and Schwetlick, H.}, year = {1988}, title = {Numerische {l}ineare {A}lgebra. {E}ine {c}om\-pu\-ter\-ori\-en\-tier\-te {E}in\-f{\"u}h\-rung}, publisher = {Deutscher Verlag der Wissenschaften}, address = {Berlin}, note = {Also: Harri Deutsch Verlag, Thun-Frankfurt, 1988.}, } @book{ Ber/Col/Hei/89/pp, year = {279 pp., 1989}, title = {Numerische Mathematik und ihre Anwendungen. Symposion der Deutschen Akademie der Naturforscher Leopoldina 1982 Halle (Saale)}, editor = {Berg, L. and Collatz, L. and Heinrich, H. and Schwetlick, H.}, series = {Nova Acta Leopoldina, Neue Folge 61, Nr. 267}, publisher = {Johann Ambrosius Barth}, address = {Leipzig}, } @book{ Ber/Col/Hei/89, year = {1989}, title = {Numerische Mathematik und ihre Anwendungen. Symposion der Deutschen Akademie der Naturforscher Leopoldina 1982 Halle (Saale)}, editor = {Berg, L. and Collatz, L. and Heinrich, H. and Schwetlick, H.}, series = {Nova Acta Leopoldina, Neue Folge 61, Nr. 267}, publisher = {Johann Ambrosius Barth}, address = {Leipzig}, } @book{ Schw/Kre/91, author = {Schwetlick, H. and Kretzschmar, H.}, year = {1991}, title = {Numerische Verfahren f{\"u}r Na\-tur\-wis\-sen\-schaft\-ler und In\-ge\-nieu\-re. Eine com\-pu\-ter\-ori\-en\-tier\-te {E}in\-f{\"u}h\-rung}, series = {Mathematik f\"ur Ingenieure}, publisher = {Fachbuchverlag}, isbn = {ISBN 3-343-00580-0}, address = {Leipzig}, } @book{ Schw/Kre/91/pp, author = {Schwetlick, H. and Kretzschmar, H.}, year = {376 pp., 1991}, title = {Numerische Verfahren f{\"u}r Na\-tur\-wis\-sen\-schaft\-ler und In\-ge\-nieu\-re. Eine com\-pu\-ter\-ori\-en\-tier\-te {E}in\-f{\"u}h\-rung}, series = {Mathematik f\"ur Ingenieure}, publisher = {Fachbuchverlag}, address = {Leipzig}, isbn = {ISBN 3-343-00580-0}, } @book{ Schw/Kre/full/91, author = {Schwetlick, H. and Kretzschmar, H.}, year = {1991}, title = {Numerische Verfahren f{\"u}r Na\-tur\-wis\-sen\-schaft\-ler und In\-ge\-nieu\-re. Eine com\-pu\-ter\-ori\-en\-tier\-te {E}in\-f{\"u}h\-rung}, series = {Mathematik f\"ur Ingenieure}, publisher = {Fachbuchverlag}, isbn = {ISBN 3-343-00580-0}, address = {Leipzig}, note = {376 S., 24,90 EUR}, } @book{ Roo/Schw/99, author = {Roos, H.-G. and Schwetlick, H.}, year = {1999}, title = {Numerische Mathematik. {D}as Grund\-wis\-sen f\"ur {j}e\-der\-mann}, series = {Mathematik f\"ur In\-ge\-nieu\-re und Na\-tur\-wis\-sen\-schaftl\-er}, publisher = {Teub\-ner}, address = {Stutt\-gart/Leip\-zig}, isbn = {3-519-00221-3}, } @book{ Roo/Schw/99/pp, author = {Roos, H.-G. and Schwetlick, H.}, year = {220 pp., 1999}, title = {Numerische Mathematik. {D}as Grund\-wis\-sen f\"ur {j}e\-der\-mann}, series = {Mathematik f\"ur In\-ge\-nieu\-re und Na\-tur\-wis\-sen\-schaftl\-er}, publisher = {Teub\-ner}, address = {Stutt\-gart/Leip\-zig}, isbn = {3-519-00221-3}, } @book{ Roo/Schw/full/99, author = {Roos, H.-G. and Schwetlick, H.}, year = {220 pp., 1999}, title = {Numerische Mathematik. {D}as Grund\-wis\-sen f\"ur {j}e\-der\-mann}, series = {Mathematik f\"ur In\-ge\-nieu\-re und Na\-tur\-wis\-sen\-schaftl\-er}, publisher = {Teub\-ner}, address = {Stutt\-gart/Leip\-zig}, note = {220 S., 19,90 EUR}, isbn = {3-519-00221-3}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% Articles %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{ Schm/Schw/68, author = {Schmidt, J. W. and Schwetlick, H.}, year = {1968}, title = {Ableitungsfreie {V}erfahren mit h{\"o}herer {K}on\-ver\-genz\-ge\-schwin\-dig\-keit}, journal = {Computing}, volume = {3}, pages = {215--226}, } @article{ Schw/69, author = {Schwetlick, H.}, year = {1969}, title = {Lineare positive {O}peratoren und {F}eh\-ler\-ab\-sch{\"a}t\-zun\-gen bei {O}pe\-ra\-tor\-glei\-chun\-gen}, journal = {Computing}, volume = {4}, pages = {345--358}, } @article{ Schw/70a, author = {Schwetlick, H.}, year = {1970}, title = {Asymptotische {E}inschlie{\ss}ungen beim {N}ewton-{V}erfahren}, journal = {Z. Angew. Math. Mech.}, volume = {50}, pages = {426-427}, } @article{ Schw/70b, author = {Schwetlick, H.}, year = {1970}, title = {Zur {K}onstruktion invarianter polyedrischer {K}egel f\"ur gewisse {K}lassen von reellen {M}atrizen und deren {A}nwendung f\"ur {F}ehlerabsch\"atzungen beim {E}igenwertproblem}, journal = {Z. Angew. Math. Mech.}, volume = {50}, pages = {665--670}, } @article{ Schw/70c, author = {Schwetlick, H.}, year = {1970}, title = {Algorithmus 12: {E}in ableitungsfreies {V}erfahren zur {L}\"o\-sung end\-lich\-di\-men\-sio\-na\-ler nicht\-linearer {G}lei\-chungs\-sy\-steme}, journal = {Computing}, volume = {5}, pages = {82--88}, } @article{ Die/Schw/71, author = {Dietze, S. and Schwetlick, H.}, year = {1971}, title = {{\"U}ber die {S}chrittweitenwahl bei {A}bstiegsverfahren zur {M}inimierung konvexer {F}unktionen}, journal = {Z. Angew. Math. Mech.}, volume = {51}, pages = {451-454}, } @article{ Schw/71a, author = {Schwetlick, H.}, year = {1971}, title = {Zur {D}urchf\"uhrbarkeit von {F}ehlerabsch\"atzungen f\"ur das {E}igenwertproblem reeller {M}atrizen mittels invarianter {K}egel}, journal = {Z. Angew. Math. Mech.}, volume = {51}, pages = {551--557}, } @article{ Schw/71b, author = {Schwetlick, H.}, year = {1971}, title = {Zur numerischen {L}\"osung nichtlinearer {G}leichunggssysteme}, journal = {Schriftenreihe des {WBZ} {M}ath.\ {K}ybernetik und {R}echentechnik, \emph{Techn.\ Univ.\ Dresden}}, volume = {1}, pages = {67--81}, } @article{ Schw/73, author = {Schwetlick, H.}, year = {1973}, title = {Zur {K}onvergenz regularisierter {G}auss-{N}ewton-{V}erfahren}, journal = {Zh. Vychisl. Mat. i Mat. Fiz.}, volume = {13}, pages = {1371--1382}, note = {English translation: {\em Convergence of a regularized Gauss-Newton method}, U.S.S.R. Comput. Math. and Math. Phys. 13 (1973), No.~6, 1--15 (1975).}, } @article{ Schw/74a, author = {Schwetlick, H.}, year = {1974}, title = {Zur {M}inimierung von {F}unktionen mehrerer {V}er\"anderlicher mittels ableitungsfreier {V}erfahren vom {N}ewton-{T}yp}, journal = {Zh. Vychisl. Mat. i Mat. Fiz.}, volume = {14}, pages = {278--291}, note = {English translation: {\em Minimization of functions of several variables by derivative-free methods of Newton type}, U.S.S.R. Comput. Math. and Math. Phys. 14 (1974), No.~2, 3--16 (1975).}, } @incollection{ Schw/74b, author = {Schwetlick, H.}, year = {1974}, title = {Minimizing nonlinear functions by descent methods}, editor = {J. Rosenfeld}, booktitle = {Information Processing 1974. Proceedings of the IFIP Congress 1974 at Stockholm}, publisher = {North-Holland}, address = {Amsterdam}, pages = {562--568}, } @article{ Schw/74c, author = {Schwetlick, H.}, year = {1974}, title = {{\"U}ber die {R}ealisierung und {K}onvergenz von {M}ehrschrittverfahren zur iterativen {L}\"osung nichtlinearer {G}leichungen}, journal = {Z. Angew. Math. Mech.}, volume = {54}, pages = {479--493}, } @article{ Schw/74d, author = {Schwetlick, H.}, year = {1974}, title = {{\"U}ber $n^2$-{S}chritt-{V}erfahren zur {L}\"osung nichtlinearer {G}leichungen}, journal = {Z. Angew. Math. Mech.}, volume = {54}, pages = {822--825}, } @article{ Schw/74e, author = {Schwetlick, H.}, year = {1974}, title = {Einige {F}olgerungen f\"ur den {A}ufbau von {A}lgorithmen im {Z}usammenhang mit der {H}erstellung von {P}rogrammpaketen}, journal = {Schriftenreihe des {WBZ} {M}ath.\ {K}ybernetik und {R}echentechnik, \emph{Techn.\ Univ.\ Dresden}}, volume = {8}, pages = {129--133}, } @article{ Schw/75, author = {Schwetlick, H.}, year = {1975}, title = {Ein neues {P}rinzip zur {K}onstruktion implementierbarer, global konvergenter {E}inbettungsalgorithmen}, journal = {Beitr{\"a}ge Numer. Math.}, volume = {4}, pages = {215--228}, } @article{ Schw/76, author = {Schwetlick, H.}, year = {1976}, title = {Ein neues {P}rinzip zur {K}onstruktion implementierbarer, global konvergenter {E}inbettungsalgorithmen ({T}estbeispiele)}, journal = {Beitr{\"a}ge Numer. Math.}, volume = {5}, pages = {201--206}, } @article{ Ehl/Schw/76, author = {Ehle, G.-P. and Schwetlick, H.}, year = {1976}, title = {Discretized {E}uler-{C}hebyshev Multistep Methods}, journal = {SIAM J. Numer. Anal.}, volume = {13}, pages = {432--447}, } @article{ Led/Schm/Schw/76, author = {Leder, D. and Schmidt, C. and Schwetlick, H.}, year = {1976}, title = {Programmpaket {N}ichtlineare {G}lei\-chun\-gen}, journal = {Schriftenreihe des {WBZ} {M}ath.\ {K}ybernetik und {R}echentechnik, \emph{Techn.\ Univ.\ Dresden}}, volume = {20}, pages = {17--23}, } @article{ Men/Schw/76, author = {Menzel, R. and Schwetlick, H.}, year = {1976}, title = {{\"U}ber einen {O}rdnungsbegriff bei {E}inbettungsalgorithmen zur {L}\"osung nichtlinearer {G}leichungen}, journal = {Computing}, volume = {16}, pages = {187--199}, } @article{ Ehl/Schw/77, author = {Ehle, G.-P. and Schwetlick, H.}, year = {1977}, title = {Rapidly Convergent Methods for Minimizing a Sum of Squares}, journal = {Beitr{\"a}ge Numer. Math.}, volume = {6}, pages = {49--59}, } @article{ Schw/78, author = {Schwetlick, H.}, year = {1978}, title = {Zur {L}\"osung gro{\ss}er nichtlinearer {G}leichungssysteme mittels mo\-di\-fi\-zierter {LR}-{Z}erlegungen der {J}acobi-{M}atrix}, journal = {Wiss.\ Z.\ Hochsch.\ Architektur und Bauwesen Weimar}, volume = {25}, pages = {64--66}, } @article{ Men/Poe/Schw/78, author = {Menzel, R. and P{\"o}nisch, G. and Schwetlick, H.}, year = {1978}, title = {Zur numerischen {L}\"osung parameterabh\"angiger nichtlinearer {G}leichungssysteme}, journal = {Nachrichtentechnik-Elektronik}, volume = {28}, pages = {19--20}, } @article{ Men/Schw/78, author = {Menzel, R. and Schwetlick, H.}, year = {1978}, title = {Zur {L}\"osung parameterabh\"angiger nichtlinearer {G}leichungen mit singul\"aren {J}acobi-{M}atrizen}, journal = {Numer. Math.}, volume = {30}, pages = {65--79}, } @incollection{ Schw/79b, author = {Schwetlick, H.}, year = {1979}, title = {Direkte {V}erfahren zur {L}{\"o}sung gro\ss er li\-ne\-arer {G}lei\-chungs\-sy\-ste\-me}, booktitle = {Auf\-l{\"o}\-sungs\-ver\-fah\-ren f{\"u}r {l}ineare Glei\-chungs\-sy\-steme}, series = {Wiss. Informationen 9}, publisher = {Sektion Mathematik, Techn.\ Hochsch.\ Karl-Marx-Stadt}, pages = {22--42}, } @article{ Men/Poe/Schw/79, author = {Menzel, R. and P{\"o}nisch, G. and Schwetlick, H.}, year = {1979}, title = {Ein {P}rogrammpaket zur {L}\"osung nichtlinearer {P}robleme}, journal = {rechentechnik/datenverarbeitung}, volume = {16}, pages = {28--29}, } @article{ Schw/80, author = {Schwetlick, H.}, year = {1980}, title = {Einbettungstechniken zur {L}\"osung parameterabh\"angiger nicht\-li\-ne\-a\-rer {G}leichungssysteme}, journal = {Wiss. Z. Tech. Univ. Dresden}, volume = {29}, pages = {445--449}, } @techreport{ Men/Poe/Schw/80/R, author = {Menzel, R. and P{\"o}nisch, G. and Schwetlick, H.}, year = {1980}, title = {{PARSYS} -- {P}rogrammpaket f\"ur parameterabh\"angige nichtlineare {G}leichungssysteme gro\ss er {D}imension}, type = {{A}n\-wen\-der\-do\-ku\-men\-ta\-tion}, institution = {Sektion Mathematik, Techn.\ Univ.\ Dresden}, } @techreport{ Schw/Til/80/R, author = {Schwetlick, H. and Tiller, V.}, year = {1980}, title = {Parametersch\"atzung bei nichtlinearen {R}egres\-sions\-mo\-dellen mit {F}ehlern in den {R}egressoren}, type = {Report}, number = {R-09/80}, institution = {Akademie der Wiss.\ der DDR, Zentralinstitut f\"ur Mathematik und Mechanik}, address = {Berlin}, pages = {129--134}, } @article{ Poe/Schw/81, author = {P{\"o}nisch, G. and Schwetlick, H.}, year = {1981}, title = {Computing Turning Points of Curves Implicitly Defined by Nonlinear Equations Depending on a Parameter}, journal = {Computing}, volume = {26}, pages = {107--121}, } @article{ Poe/Schw/82, author = {P{\"o}nisch, G. and Schwetlick, H.}, year = {1982}, title = {Ein lokal \"uberlinear konvergentes {V}erfahren zur {B}e\-stim\-mung von {R}\"uck\-kehr\-punk\-ten im\-pli\-zit de\-fi\-nier\-ter {R}aum\-kur\-ven}, journal = {Numer. Math.}, volume = {38}, pages = {455--466}, } @article{ Schw/Kna/Til/82, author = {Schwetlick, H. and Knauff, L. and Tiller, V.}, year = {1982}, title = {Ein {P}rogrammpaket zur {P}arametersch\"atzung in nichtlinearen {M}odellen}, journal = {Wiss. Beitr\"age Martin-Luther-Univ.\ Halle-Wittenberg}, volume = {1982/33 (M28)}, pages = {102--111}, } @article{ Kir/Schw/Lie/83, author = {A. Kirsten and Schwetlick, H. and Liebmann, G.}, year = {1983}, title = {Ein {R}egressionsmodell zur {B}eschreibung von {S}\"at\-ti\-gungs\-kon\-zen\-tra\-tio\-nen bei {V}orliegen einer {P}hasengrenze}, journal = {Chemi\-sche Technik}, volume = {35}, pages = {636--639}, } @incollection{ Schw/84, author = {Schwetlick, H.}, year = {1984}, title = {Effective Methods for Computing Turning Points of Curves Implicitly Defined by Nonlinear Equations}, editor = {A. Wakulicz}, booktitle = {Computational Mathematics}, series = {Banach Center Publications}, volume = {13}, publisher = {PWN (Polish Scientific Publ.)}, address = {Warsaw}, pages = {623--645}, } @incollection{ Schw/84b, author = {Schwetlick, H.}, year = {1984}, title = {Zur {S}chrittweitenwahl bei {K}urvenverfolgungsalgorithmen}, editor = {K. Streh\-mel}, booktitle = {Nu\-me\-ri\-sche Be\-hand\-lung von Dif\-fe\-ren\-tial\-glei\-chun\-gen}, series = {Wiss. Bei\-tr\"a\-ge Martin-Luther-Univ.\ 1984/23 (M33)}, publisher = {Martin-Luther-Univ. Halle-Wittenberg}, address = {Halle}, pages = {110--113}, } @article{ Schw/84c, author = {Schwetlick, H.}, year = {1984}, title = {On the Choice of Steplength in Path Following Methods}, journal = {Z. Angew. Math. Mech.}, volume = {64}, pages = {391--396}, } @incollection{ Schw/84d, author = {Schwetlick, H.}, year = {1984}, title = {Algorithms for Finite-Dimensional Turning Point Problems from Viewpoint to Relationships with Constrained Optimization Methods}, editor = {T. K\"upper and H. D. Mittelmann and H. Weber}, booktitle = {Numerical Methods for Bifurcation Problems}, series = {ISNM}, volume = { 70}, publisher = {Birkh\"auser}, address = {Basel}, pages = {459--479}, } @article{ Men/Schw/85, author = {Menzel, R. and Schwetlick, H.}, year = {1985}, title = {Parametrization via Secant Length and Application to Path Following}, journal = {Numer. Math.}, volume = {47}, pages = {401--412}, } @article{ Schw/Sche/Til/85, author = {Schwetlick, H. and Schellong, W. and Tiller, V.}, year = {1985}, title = {Gauss-{N}ewton-like Methods for Nonlinear Least Squares with Equality Constraints -- Local Convergence and Applications to Parameter Estimation in Implicit Models}, journal = {Statistics}, volume = {16}, pages = {167--178}, } @article{ Schw/Til/85, author = {Schwetlick, H. and Tiller, V.}, year = {1985}, title = {Numerical Methods for Estimating Parameters in Nonlinear Models with Errors in the Variables}, journal = {Technometrics}, volume = {27}, pages = {17--24}, } @article{ Hoy/Schw/86, author = {Hoy, A. and Schwetlick, H.}, year = {1986}, title = {Modified Matrix Factorizations for Solving Systems of Nonlinear Equations}, journal = {Z. Angew. Math. Mech.}, volume = {66}, pages = {257--264}, } @incollection{ Schw/Cle/86, author = {Schwetlick, H. and Cleve, J.}, year = {1986}, title = {Higher Order Predictors in Path Following Methods}, editor = {K. Strehmel}, booktitle = {Numerical Treatment of Differential Equations}, publisher = {Teubner}, address = {Leipzig}, pages = {153--157}, } @article{ Schw/Cle/87, author = {Schwetlick, H. and Cleve, J.}, year = {1987}, title = {Higher Order Predictors and Adaptive Stepsize Control in Path Following Algorithms}, journal = {SIAM J. Numer. Anal.}, volume = {24}, pages = {1382--1393}, } @techreport{ Schw/88/R, author = {Schwetlick, H.}, year = {1988}, title = {Parametersch\"atzung in {A}nfangswertaufgaben gew\"ohnlicher {D}ifferentialgleichungen: {P}rinzipien und numerische {V}erfahren}, institution = {Martin-Luther-Univ. Halle-Wittenberg}, type = {Preprint der Sektion Mathematik}, number = {118}, address ={Halle}, } @article{ Wol/Schw/88, author = {Wolke, R. and Schwetlick, H.}, year = {1988}, title = {Iteratively Reweighted Least Squares: {A}lgorithms, Convergence, and Numerical Comparisons}, journal = {SIAM J. Sci. Statist. Comput.}, volume = {9}, pages = {907--921}, } @article{ Schw/89, author = {Schwetlick, H.}, year = {1989}, title = {Zur numerischen {B}ehandlung nichtlinearer parameterabh\"angiger {G}lei\-chun\-gen}, journal = {Nova acta Leopoldina}, volume = {Neue Folge 61, Nr.~267}, pages = {107--136}, } @article{ Schw/Til/89, author = {Schwetlick, H. and Tiller, V.}, year = {1989}, title = {Nonstandard Scaling Matrices for Trust Region {G}auss-{N}ewton Methods}, journal = {SIAM J. Sci. Statist. Comput.}, volume = {10}, pages = {654--670}, } @incollection{ Hoy/Schw/90, author = {Hoy, A. and Schwetlick, H.}, year = {1990}, title = {Some Superlinearly Convergent Methods for Solving Singular Nonlinear Equations}, editor = {Allgower, E. L. and K. Georg}, booktitle = {Computational Solution of Nonlinear Systems of Equations. Proc. SIAM-AMS Summer Seminar Ft.~Collins/CO 1988}, series = {Lectures in Applied Mathematics}, volume = {26}, publisher = {American Mathematical Society}, address = {Providence, RI}, pages = {285--300}, isbn = {ISBN 0-8218-1131-2}, } @incollection{ Schw/90, author = {Schwetlick, H.}, year = {1990}, title = {Nonstandard Scaling Matrices in Trust Region Methods}, editor = {Allgower, E. L. and K. Georg}, booktitle = {Computational Solution of Nonlinear Systems of Equations. Proc. SIAM-AMS Summer Seminar Ft.~Collins/CO 1988}, series = {Lectures in Applied Mathematics}, volume = {26}, publisher = {American Mathematical Society}, address = {Providence, RI}, pages = {587--604}, isbn = {ISBN 0-8218-1131-2}, } @techreport{ Poe/Schw/90/R, author = {P{\"o}nisch, G. and Schwetlick, H.}, year = {1990}, title = {Some Types of Inverse Problems for Nonlinear Equations Having Coupled Turning Points}, institution = {Sektion Mathematik, Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {07-01-90}, } @article{ Schw/91, author = {Schwetlick, H.}, year = {1991}, title = {Nichtlineare {P}arametersch\"atzung: {M}odelle, {S}ch\"atzkriterien und numerische {A}lgorithmen}, journal = {GAMM--Mitteilungen}, volume = {2/91}, pages = {13--51}, } @incollection{ Schw/92, author = {Schwetlick, H.}, year = {1992}, title = {Nonlinear Parameter Estimation: Models, Criteria and Algorithms}, editor = {D. F. Griffiths and G. A. Watson}, booktitle = {Numerical Analysis 1991. Proceedings of the 14th Dundee Conference on Numerical Analysis}, series = {Pitman Research Notes in Mathematics Series}, volume = {260}, publisher = {Longman Scientific \& Technical}, address = {Harlow, Essex}, pages = {164--193}, } @unpublished{ All/Schw/93/L, author = {Allgower, E. L. and Schwetlick, H.}, year = {1993}, title = {Stable Computation of Simple Bifurcation Points and Emanating Branches}, note = {Lecture, held at the Conference {\em Computational Methods for Nonlinear Phenomena}, January 1993, Oberwolfach, Germany}, } @incollection{ Schw/93, author = {Schwetlick, H.}, year = {1993}, title = {Numerical Methods for Least Squares Parameter Estimation in Linearly Separated and Related Models}, booktitle = {Proceedings of the International Workshop on Inverse Problems}, series = {Mitteilungen des Curt-Risch-Instituts f{\"u}r Dynamik, Schall- und Me{\ss}technik, CRI K-1/93}, publisher = {Universit{\"a}t Hannover}, pages = {85--96}, } @article{ Schw/Kun/93, author = {Schwetlick, H. and Kunert, V.}, year = {1993}, title = {Spline Smoothing under Constraints on Derivatives}, journal = {BIT}, volume = {33}, pages = {512--528}, } @unpublished{ Wol/Schw/93/M, author = {Wolke, R. and Schwetlick, H.}, year = {1993}, title = {Rational Approximations in Algorithms for Iteratively Reweighted Least Squares}, note = {Manuskript}, } @article{ Schm/Schw/94, author = {Schmidt, J. W. and Schwetlick, H.}, year = {1994}, title = {Gratulation f{\"u}r {H}elmut {H}einrich zum 90.~{G}eburtstag}, journal = {Z. Angew. Math. Mech.}, volume = {74}, pages = {367}, } @techreport{ Schw/Schue/94/R, author = {Schwetlick, H. and Sch{\"u}tze, T.}, year = {1994}, title = {Least Squares Approximation by Splines with Free Knots}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {MATH-NM-06-1994}, } @unpublished{ Schw/Schl/94/Ra, author = {Schwetlick, H. and Schleiff, S.}, year = {1994}, title = {A Feasible Point Trust Region Method for Equality Constrained Optimization Problems}, note = {Manuscript, in preparation for publication}, } @article{ All/Schw/95/S, author = {Allgower, E. L. and Schwetlick, H.}, year = {1995}, title = {A General Approach to Minimally Extended Systems for Simple Bifurcation Points}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {75 S II}, pages = {S\,611--S\,612}, } @article{ Schw/Schue/95, author = {Schwetlick, H. and Sch{\"u}tze, T.}, year = {1995}, title = {Least Squares Approximation by Splines with Free Knots}, journal = {BIT}, volume = {35}, pages = {361--384}, nnote = {Also Preprint MATH-NM-06-1994, Techn.\ Univ.\ Dresden}, } @techreport{ All/Schw/95/R, author = {Allgower, E. L. and Schwetlick, H.}, year = {1995}, title = {A General View of Minimally Extended Systems for Simple Bifurcation Points}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {MATH-NM-03-1995}, } @techreport{ Schue/Schw/95/R, author = {Sch{\"u}tze, T. and Schwetlick, H.}, year = {1995}, title = {Constrained Approximation by Splines with Free Knots}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {MATH-NM-18-1995}, } @techreport{ Schw/Tim/Loe/95/R, author = {Schwetlick, H. and Timmermann, G. and L{\"o}sche, R.}, year = {1995}, title = {Path Following for Large Nonlinear Equations by Implicit Block Elimination Based on Recursive Projections}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {IOKOMO-08-1995}, } @techreport{ Poe/Schn/Schw/95/R, author = {P{\"o}nisch, G. and Schnabel, U. and Schwetlick, H.}, year = {1995}, title = {Computing Multiple Pitchfork Bifurcation Points}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {IOKOMO-09-1995}, nnote = {To appear in {\em Computing}}, } @incollection{ Schw/Tim/Loe/96, author = {Schwetlick, H. and Timmermann, G. and L{\"o}sche, R.}, year = {1996}, title = {Path Following for Large Nonlinear Equations by Implicit Block Elimination Based on Recursive Projections}, editor = {J. Renegar and M. Shub and S. Smale}, booktitle = {The Mathematics of Numerical Analysis. Proc. AMS-SIAM Summer Seminar Park City/Utah 1996}, series = {Lectures in Applied Mathematics}, volume = {32}, publisher = {American Mathematical Society}, address = {Providence, RI}, pages = {715--732}, nnote = {Also Preprint IOKOMO-08-1995, Techn.\ Univ.\ Dresden}, isbn = {ISBN 0-8218-0530-4}, } @techreport{ Schl/Schw/96/R, author = {Schleiff, S. and Schwetlick, H.}, year = {1996}, title = {Characterization and Computation of Period Doubling Points by Minimally Extended Systems}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {MATH-NM-07-1996}, nnote = {To appear in {\em Optim. Methods Softw.}} } @techreport{ Loe/Schw/Tim/96/R, author = {L{\"o}sche, R. and Schwetlick, H. and Timmermann, G.}, year = {1996}, title = {A Modified Block {N}ewton Iteration for Approximating an Invariant Subspace of a Symmetric Matrix}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {IOKOMO-03-1996}, nnote = {To appear in {\em Linear Algebra Appl.}} } @techreport{ Poe/Schn/Schw/96/R, author = {P{\"o}nisch, G. and Schnabel, U. and Schwetlick, H.}, year = {1996}, title = {Computing Multiple Turning Points}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {IOKOMO-04-1996}, nnote = {To appear in {\em Optim. Methods Softw.}}, } @article{ Schue/Schw/97, author = {Sch{\"u}tze, T. and Schwetlick, H.}, year = {1997}, title = {Constrained Approximation by Splines with Free Knots}, journal = {BIT}, volume = {37}, pages = {105--137}, nnote = {Also Preprint MATH-NM-18-1995, Techn.\ Univ.\ Dresden} } @article{ All/Schw/97, author = {Allgower, E. L. and Schwetlick, H.}, year = {1997}, title = {A General View of Minimally Extended Systems for Simple Bifurcation Points}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {77}, pages = {83--97}, nnote = {Also Preprint MATH-NM-03-1995, Techn.\ Univ.\ Dresden} } @article{ Poe/Schn/Schw/97/S, author = {P{\"o}nisch, G. and Schnabel, U. and Schwetlick, H.}, year = {1997}, title = {Computation of Multiple Pitchfork Bifurcation Points}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {77 Suppl.\ 2}, pages = {S\,449--S\,452}, } @article{ Schw/Tim/Loe/97/S, author = {Timmermann, G. and Schwetlick, H. and L{\"o}sche, R.}, year = {1997}, title = {Path Following for Large Non-linear Equations by Implicit Block Elimination}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {77 Suppl.\ 2}, pages = {S\,453--S\,456}, } @article{ Schue/Schw/97/S, author = {Sch{\"u}tze, T. and Schwetlick, H.}, year = {1997}, title = {Constrained Approximation by Splines with Free Knots}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {77 Suppl.\ 2}, pages = {S\,669--S\,670}, } @techreport{ Schw/Schn/97/R, author = {Schwetlick, H. and Schnabel, U.}, year = {1997}, title = {Iterative Computation of the Smallest Singular Value and the Corresponding Singular Vectors of a Matrix}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {IOKOMO-06-97}, nnote = {In revision at \emph{Linear Algebra Appl.}}, } @techreport{ Schw/Loe/97/R, author = {Schwetlick, H. and L{\"o}sche, R.}, year = {1997}, title = {A Generalized Inverse Iteration for Computing Simple Eigenvalues of Nonsymmetric Matrices}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {IOKOMO-07-97}, nnote = {To appear in \emph{Z. Angew. Math. Mech.}}, } @article{ Schl/Schw/97, author = {Schleiff, S. and Schwetlick, H.}, year = {1997}, title = {Characterization and Computation of Period Doubling Points by Minimally Extended Systems}, journal = {Optim. Methods Softw.}, volume = {8}, pages = {1--24}, } @article{ Poe/Schn/Schw/97, author = {P{\"o}nisch, G. and Schnabel, U. and Schwetlick, H.}, year = {1997}, title = {Computing Multiple Pitchfork Bifurcation Points}, journal = {Computing}, volume = {59}, pages = {209--222}, } @article{ Schm/Schw/97, author = {Schmidt, J. W. and Schwetlick, H.}, year = {1997}, title = {Nachruf auf {H}elmut {H}einrich}, journal = {Z. Angew. Math. Mech.}, volume = {77}, pages = {323--325}, note = {Auch {\em Mitteilungen der Gesellschaft f\"ur Angewandte Mathematik und Mechanik} 20 (1997), 7--12}, } @article{ Loe/Schw/Tim/98, author = {L{\"o}sche, R. and Schwetlick, H. and Timmermann, G.}, title = {A Modified Block {N}ewton Iteration for Approximating an Invariant Subspace of a Symmetric Matrix}, journal = {Linear Algebra Appl.}, year = {1998}, volume = {275/276}, pages = {381--400}, } @article{ Poe/Schn/Schw/98/S, author = {P{\"o}nisch, G. and Schnabel, U. and Schwetlick, H.}, year = {1998}, title = {Computing Multiple Turning Points}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {78 Suppl.\ 3}, pages = {S\,1039--S\,1040}, } @misc{ Schw/99/R, author = {Schwetlick, H.}, year = {1999}, title = {Angewandte {M}athematik heute: {V}om mathematischen {M}odell zum {C}omputerprogramm}, howpublished = {Vortr\"age des \emph{4.~Dresdner Kolloquiums zur Mathematik und ihrer Didaktik} am 23.~Februar 1999, pp.\ 13-01--13-13, Techn.\ Univ.\ Dresden, Fachrichtung Mathematik, Professur f\"ur Didaktik der Mathematik}, } @article{ Poe/Schn/Schw/99, author = {P{\"o}nisch, G. and Schnabel, U. and Schwetlick, H.}, year = {1999}, title = {Computing Multiple Turning Points by Using Simple Extended Systems and Computational Differentiation}, journal = {Optim. Methods Softw.}, volume = {10}, pages = {639--668}, } @article{ Schw/00, author = {Schwetlick, H.}, year = {2000}, title = {Alwin {W}alther (6.~{M}ai 1898 -- 4.~{J}anuar 1967). {E}in {P}ionier des wissenschaftlichen {R}echnens}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {80}, pages = {5--8}, } @article{ Schw/Loe/00, author = {Schwetlick, H. and L{\"o}sche, R.}, year = {2000}, title = {A Generalized {Rayleigh} Quotient Iteration for Computing Simple Eigenvalues of Nonnormal Matrices}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {80}, pages = {9--25}, nnote = {Also Preprint IOKOMO-07-97, Techn.\ Univ.\ Dresden, 1997} } @article{ Schw/00b, author = {Schwetlick, H.}, year = {6.~Juni 2000}, title = {In memoriam {Jochen W.~Schmidt}}, journal = {Universit\"atsjournal. Die Zeitung der Technischen Universit\"at Dresden}, volume = {11}, number = {10}, pages = {9}, note = {Auch: \emph{Wiss. Z. Techn. Univers. Dresden} 49 (2), pp.~100--101, 2000}, } @article{ Schw/00c, author = {Schwetlick, H.}, year = {2000}, title = {In memoriam {Professor} {Jochen W.~Schmidt}}, journal = {Wiss. Z. Techn. Univers. Dresden}, volume = {49}, number = {2}, pages = {100--101}, } @unpublished{ Schue/Schw/00, author = {T. Sch{\"u}tze and H. Schwetlick}, year = {2000}, title = {On the Convergence of {K}aufman-like Methods for Semi-Linear Least Squares Problems}, note = {Manuscript in preparation} } @misc{ Schn/Schw/01/R, author = {Schnabel, U. and Schwetlick, H.}, year = {2001}, title = {The Modified Block {N}ewton Iteration for Computing Invariant Subspaces (Block {R}ayleigh Quotient Iteration) is Cubically Convergent}, howpublished = {Manuscript, in preparation for publication}, } @misc{ Schw/Schn/01/R, author = {Schwetlick, H. and Schnabel, U.}, year = {2001}, title = {A Generalized Alternating Inverse Subspace Iteration for Approximating the smallest $q$ Singular Values and the Corresponding Left and Right Singular Subspaces of a Ma}, howpublished = {Manuscript, in preparation for publication}, } @article{ Schw/Schn/01/S, author = {Schwetlick, H. and Schnabel, U.}, year = {2001}, title = {An Inverse Subspace Iteration for Computing $q$ Smallest Singular Values of a Matrix}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {81 Suppl.\ 3}, pages = {S\,731--S\,732}, date = {08/2001}, } @article{ Schn/Poe/Schw/01/S, author = {Schnabel, U. and P\"onisch, G. and Schwetlick, H. }, year = {2001}, title = {Computation of Singular Points}, journal = {Z.\ Angew.\ Math.\ Mech.}, volume = {81 Suppl.\ 4}, pages = {S\,1021--S\,1022}, date = {08/2001}, } @techreport{ Schue/Schw/01/R, author = {Sch{\"u}tze, T. and Schwetlick, H.}, year = {2001}, title = {Bivariate Free Knot Splines}, institution = {Techn.\ Univ.\ Dresden}, type = {Preprint}, number = {MATH-NM-13-01}, nnote = {to appear in BIT}, } @incollection{ Rei/Schw/01, author = {Reimer, M. and Schwetlick, H.}, title = {{Jochen W.~Schmidt} in Memoriam}, booktitle = {Recent Progress in Multivariate Approximation}, editor = {Haussmann, W. and Jetter, K. and Reimer, M.}, publisher = {Birkh\"auser}, year = {2001}, series = {ISNM}, volume = {137}, address = {Basel}, pages = {19--21}, date = {10/2001}, } @incollection{ Bas/Mul/Ter/01, author = {Bastian, M and Mulansky, B. and Terno, G. and Sch\"utze, T. and Schwetlick, H.}, title = {Publications of {Jochen W.~Schmidt}}, booktitle = {Recent Progress in Multivariate Approximation}, editor = {Haussmann, W. and Jetter, K. and Reimer, M.}, publisher = {Birkh\"auser}, year = {2001}, series = {ISNM}, volume = {137}, address = {Basel}, pages = {253--265}, date = {10/2001}, } @article{ Baeu/Schw/01, author = {Mathias B\"aumel and Schwetlick, H.}, year = {4.~Dezember 2001}, title = {Forschungspreis f\"ur Andreas Griewank}, journal = {Dresdner Universit\"atsJournal}, volume = {12}, number = {19}, pages = {1}, } @article{ Schue/Schw/03, author = {Sch{\"u}tze, T. and Schwetlick, H.}, title = {Bivariate Free Knot Splines}, journal = {BIT}, year = {2003}, volume = {43}, pages = {153--178}, } @article{ Schw/Schn/03, author = {Schwetlick, H. and Schnabel, U.}, title = {Iterative Computation of the Smallest Singular Value and the Corresponding Singular Vectors of a Matrix}, journal = {Linear Algebra Appl.}, year = {2003}, volume = {371}, pages = {1--30}, } @article{ Nol/Schw/04, author = {Nollau, V. and Schwetlick, H.}, year = {19.~Oktober 2004}, title = {Erinnerung an {A}u{\ss}er\-ge\-w\"ohn\-li\-ches. {G}edenkkolloquium zum 100.~{G}eburtstag von {H}elmut {H}einrich}, journal = {Dresdner Universit\"atsJournal}, volume = {15}, number = {16}, pages = {11}, } @incollection{ Schw/04, author = {Schwetlick, H}, title = {Newton-Type Methods for Nonlinear least Squares Using Restricted Second Order Information}, booktitle = {Modeling, Simulation and Optimization of Complex Processes}, editor = {Bock, H.~G. and Kostina, E. and Phu, Hoang Xuan and Rannacher, R}, publisher = {Springer}, year = {2004}, pages = {451--460}, } @techreport{ Schw/Schr/06b, author = {Schwetlick, H. and Schreiber, K.}, year = {2006}, title = {A Primal-Dual {Jacobi-Davidson}-like Method for Nonlinear Eigenvalue Problems}, institution = {Techn.\ Univ.\ Dresden, Zentrum f\"ur Informationsdienste und Hochleistungsrechnen}, type = {Internal Report}, number = {ZIH-IR-0613, pp.\ 1--20}, pages = {}, note = {Submitted to {\em ETNA}} } @unpublished{ Schw/Schr/06a/M, author = {Schwetlick, H. and Schreiber, K.}, year = {2006}, title = {Generalized {R}ayleigh-{Q}uotient-{I}teration Revisited: {J}acobi-{D}avidson-like Reformulation and Asymptotic Condition Numbers}, note = {Manuscript, in preparation for publication}, } @unpublished{ Schw/Schn/06c/M, author = {Schwetlick, H. and Schnabel, U.}, year = {2006}, title = {Symmetric Block {RQI} Revisited: {R}eformulation Using Projected Matrices and Direct Proof of Cubic Convergence}, note = {Manuscript, in preparation for publication}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% Supervised Diploma (since 1991) and Doctoral Theses (since 1983} %% chronologically ordered %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @phdthesis{ Kno/83, author = {Knoth, O.}, year = {1983}, title = {Marquardt-{\"a}hnliche {V}erfahren zur {M}inimierung {n}ichtlinearer {F}unktionen}, school = {Sektion Mathematik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Dissertation {A}}, address ={Halle, Germany}, } @phdthesis{ Wol/85, author = {Wolke, R.}, year = {1985}, title = {Iterative {V}erfahren zur {n}umerischen {B}erechnung von {M}-{S}ch\"atzungen}, school = {Sektion Mathematik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Dissertation {A}}, address ={Halle, Germany}, } @phdthesis{ Ger/90, author = {Gersonde, J.}, year = {1990}, title = {Effektiv {i}mplementierbare {M}odifikationen von {T}rust-{R}egion-{V}erfahren}, school = {Sektion Mathematik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Dissertation {A}}, address ={Halle, Germany}, } @phdthesis{ Hoy/91, author = {Hoy, A.}, year = {1991}, title = {Numerische {L}\"osung {s}ingul\"arer {n}ichtlinearer {G}leichungssysteme}, school = {Fachbereich Mathematik und Informatik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Dis\-ser\-ta\-tion {B} ({H}a\-bi\-li\-ta\-tions\-schrift)}, address ={Halle, Germany}, } @phdthesis{ Schl/91, author = {Schleiff, S.}, year = {1991}, title = {Ein {P}arametersch\"atzproblem {f}\"ur {n}ichtlineare {G}leichungen {m}it {R}\"uck\-kehr\-punk\-ten}, school = {Fachbereich Mathematik und Informatik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Diplomarbeit}, address ={Halle, Germany}, } @phdthesis{ Schue/93, author = {Sch{\"u}tze, Torsten}, year = {1993}, title ={Quadratmittelapproximation durch {B}-{S}plines mit freien {K}noten}, school = {Fachbereich Mathematik und Informatik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Diplomarbeit}, address ={Halle, Germany}, } @phdthesis{ Schl/95, author = {Schleiff, S.}, year = {1995}, title = {Parametersch\"atzung in {n}ichtlinearen {M}odellen unter {b}esonderer {B}e\-r\"uck\-sich\-ti\-gung {k}ri\-ti\-scher {P}unk\-te}, school = {Fachbereich Mathematik und Informatik, Martin-Luther-Univ.\ Halle-Wittenberg}, type = {Dissertation}, address ={Halle, Germany}, } @phdthesis{ Loe/95, author = {L{\"o}sche, R.}, year = {1995}, title ={Approximation und {A}ufdatierung von invarianten {T}eil\-r\"au\-men schwach besetzter, symmetrischer und indefiniter {M}atrizen}, type = {Diplomarbeit}, school = {Institut f\"ur Numerische Mathematik, Techn.\ Univ.\ Dresden}, address = {Germany}, } @phdthesis{ Tim/95, author = {Timmermann, Gisela}, year = {1995}, title ={L\"osung von nichtlinearen, fast positiv definiten {R}andwertaufgaben mittels rekursiver {P}rojektionsmethode}, type = {Diplomarbeit}, school = {Institut f\"ur Numerische Mathematik, Techn.\ Univers.\ Dresden}, address = {Germany}, } @phdthesis{ Ada/96, author = {Adam, Karin}, year = {1996}, title = {Quadratische {M}odelle zur {L}{\"o}sung nichtlinearer {Q}uadratmittelprobleme}, school = {Institut f\"ur Numerische Mathematik, Techn.\ Univ.\ Dresden}, type = {Diplomarbeit}, address = {Germany}, } @phdthesis{ Schue/97, author = {Sch{\"u}tze, Torsten}, year = {1997}, title ={Diskrete {Q}uadratmittelapproximation durch {S}plines mit freien {K}noten}, type = {Dissertation}, school = {Fakult\"at Mathematik u.\ Naturwissenschaften, Fachrichtung Mathematik, Techn.\ Univers.\ Dresden}, address = {Germany}, nnote = {Verteidigung 16.01.1998}, } @phdthesis{ Tim/98, author = {Timmermann, Gisela}, year = {1998}, title ={Cascadic Algorithms for Two Classes of Nonlinear Elliptic Boundary Value Problems}, type = {Dissertation}, school = {Fakult\"at Mathematik u.\ Naturwissenschaften, Fachrichtung Mathematik, Techn.\ Univers.\ Dresden}, address = {Germany}, nnote = {Verteidigung 16.03.1999}, } @phdthesis{ Schn/00, author = {Schnabel, Uwe}, year = {2000}, title ={Berechnung singul\"arer {P}unkte nicht\-li\-ne\-arer {G}lei\-chungs\-sy\-ste\-me}, type = {Dissertation}, school = {Fakult\"at Mathematik u.\ Naturwissenschaften, Fachrichtung Mathematik, Techn.\ Univers.\ Dresden}, address = {Germany}, nnote = {Eingereicht 10.01.2000, verteidigt 27.10.2000}, } @phdthesis{ Gem/02, author = {Gemmer, Silke}, year = {2002}, title = {Trust-{R}egion-{V}erfahren mit zul\"assigen {P}unk\-ten zur {L}\"o\-sung gleich\-heits\-re\-strin\-gier\-ter nicht\-li\-nea\-rer {Q}ua\-drat\-mit\-tel\-pro\-ble\-me}, school = {Institut f\"ur Numerische Mathematik, Techn.\ Univ.\ Dresden}, type = {Diplomarbeit}, address = {Germany}, nnote = {Eingereicht 23.01.2002, verteidigt 28.02.2002}, } @phdthesis{ Gei/02, author = {Geidel, Katja}, year = {2002}, title = {Trust-{R}egion-{V}erfahren mit nie\-drig\-di\-men\-sio\-na\-len {S}uch\-r\"au\-men zur {M}i\-ni\-mie\-rung nicht\-li\-nea\-rer {F}unk\-tio\-nen}, school = {Institut f\"ur Numerische Mathematik, Techn.\ Univ.\ Dresden}, type = {Diplomarbeit}, address = {Germany}, nnote = {Eingereicht 05.09.2002, verteidigt 27.09.2002}, } @phdthesis{ Rei/04, author = {Reinhardt, Volkmar}, year = {2004}, title = {Algorithms for Independent Component Analysis}, school = {Institut f\"ur Mathematische Stochastik, Techn.\ Univ.\ Dresden}, type = {Diplomarbeit}, address = {Germany}, nnote = {Eingereicht 10.01.2004, verteidigt 16.01.2004}, } @phdthesis{ Schr/05, author = {Schreiber, Kathrin}, year = {2004}, title = {Alternative Verfahren vom Jacobi-Davidson-Typ f\"ur {l}i\-ne\-are und {n}icht\-li\-ne\-are Ei\-gen\-wert\-pro\-ble\-me}, school = {Institut f\"ur Numerische Mathematik, Techn.\ Univ.\ Dresden}, type = {Diplomarbeit}, address = {Germany}, nnote = {Eingereicht 12.01.2005, verteidigt 15.02.2005}, }