Edit Profile (opens in new tab) Schwetlick, Hubert Co-Author Distance Author ID: schwetlick.hubert Published as: Schwetlick, Hubert; Schwetlick, H. Documents Indexed: 74 Publications since 1968, including 6 Books 2 Contributions as Editor Co-Authors: 22 Co-Authors with 39 Joint Publications 183 Co-Co-Authors all top 5 Co-Authors 27 single-authored 7 Pönisch, Gerd 6 Schnabel, Uwe 5 Tiller, Volker 4 Lösche, Ralf 4 Schütze, Torsten 3 Schmidt, Jochen Wilhelm 3 Timmermann, Gisela 2 Allgower, Eugene L. 2 Ehle, Gerd-Peter 2 Hoy, Annegret 2 Menzel, Reinhard 2 Schreiber, Kathrin 1 Berg, Lothar 1 Cleve, Jürgen 1 Collatz, Lothar 1 Dietze, Siegfried 1 Heinrich, Helmut Fritz 1 Kandler, Ute 1 Kielbasinski, Andrzej 1 Knauff, Leonhard 1 Kostina, Ekaterina A. 1 Kretzschmar, Horst 1 Kunert, V. 1 Roos, Hans-Görg 1 Schellong, W. 1 Schleiff, Stefan all top 5 Serials 14 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Computing 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 BIT 4 Linear Algebra and its Applications 3 Numerische Mathematik 3 Optimization Methods & Software 3 Beiträge zur Numerischen Mathematik 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific and Statistical Computing 2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 2 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Wissenschaftliche Zeitschrift der Hochschule für Architektur und Bauwesen Weimar 1 Technometrics 1 Statistics 1 Nova Acta Leopoldina. Neue Folge 1 Wissenschaftliche Zeitschrift der Technischen Universität Dresden 1 ETNA. Electronic Transactions on Numerical Analysis all top 5 Fields 66 Numerical analysis (65-XX) 10 Statistics (62-XX) 8 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 176 times in 152 Documents Cited by ▼ Year ▼ Numerische Lösung nichtlinearer Gleichungen. Zbl 0402.65028 Schwetlick, H. 73 1979 Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter. Zbl 0463.65036 Pönisch, G.; Schwetlick, H. 32 1981 Ableitungsfreie Verfahren mit höherer Konvergenzgeschwindigkeit. Zbl 0165.17305 Schmidt, Jochen W.; Schwetlick, H. 20 1968 Iteratively reweighted least squares: Algorithms, convergence analysis, and numerical comparisons. Zbl 0709.65130 Wolke, R.; Schwetlick, H. 19 1988 Nonlinear Rayleigh functionals. Zbl 1317.65100 Schwetlick, Hubert; Schreiber, Kathrin 17 2012 Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen. Zbl 0425.65032 Menzel, Reinhard; Schwetlick, Hubert 17 1978 Higher order predictors and adaptive steplength control in path following algorithms. Zbl 0641.65048 Schwetlick, Hubert; Cleve, Jürgen 16 1987 Least squares approximation by splines with free knots. Zbl 0847.65004 Schwetlick, Hubert; Schütze, Torsten 13 1995 Numerische lineare Algebra. Eine computerorientierte Einführung. Zbl 0635.65024 Kiełbasiński, A.; Schwetlick, H. 10 1988 Numerical methods for estimating parameters in nonlinear models with errors in the variables. Zbl 0559.62052 Schwetlick, Hubert; Tiller, Volker 10 1985 Ein lokal überlinear konvergentes Verfahren zur Bestimmung von Rückkehrpunkten implizit definierter Raumkurven. Zbl 0479.65031 Poenisch, Gerd; Schwetlick, Hubert 9 1982 Über die Realisierung und Konvergenz von Mehrschrittverfahren zur iterativen Lösung nichtlinearer Gleichungen. Zbl 0294.65032 Schwetlick, H. 8 1974 A general view of minimally extended systems for simple bifurcation points. Zbl 0915.65042 Allgower, E. L.; Schwetlick, H. 8 1997 Spline smoothing under constraints on derivatives. Zbl 0796.65005 Schwetlick, H.; Kunert, V. 6 1993 Iterative computation of the smallest singular value and the corresponding singular vectors of a matrix. Zbl 1035.65038 Schwetlick, Hubert; Schnabel, Uwe 6 2003 A modified block Newton iteration for approximating an invariant subspace of a symmetric matrix. Zbl 0935.65034 Lösche, Ralf; Schwetlick, Hubert; Timmermann, Gisela 5 1998 Ein neues Prinzip zur Konstruktion implementierbarer global konvergenter Einbettungsalgorithmen. Zbl 0343.65019 Schwetlick, Hubert 4 1975 Über einen Ordnungsbegriff bei Einbettungsalgorithmen zur Lösung nichtlinearer Gleichungen. Zbl 0331.65036 Menzel, R.; Schwetlick, H. 4 1976 Some superlinearly convergent methods for solving singular nonlinear equations. Zbl 0709.65043 Hoy, Annegret; Schwetlick, Hubert 4 1990 Numerical methods for natural scientists and engineers. A computer oriented introduction. (Numerische Verfahren für Naturwissenschaftler und Ingenieure. Eine computerorientierte Einführung. Mit 74 Bildern und 34 Tabellen.) Zbl 0742.65001 Schwetlick, Hubert; Kretzschmar, Horst 4 1991 On the choice of steplength in path following methods. Zbl 0593.65036 Schwetlick, H. 3 1984 Gauss-Newton-like methods for nonlinear least squares with equality constraints. Local convergence and applications to parameter estimation in implicit models. Zbl 0603.62072 Schwetlick, H.; Schellong, W.; Tiller, V. 3 1985 Constrained approximation by splines with free knots. Zbl 0874.65006 Schütze, Torsten; Schwetlick, Hubert 3 1997 Computing multiple pitchfork bifurcation points. Zbl 0890.65050 Pönisch, G.; Schnabel, U.; Schwetlick, H. 2 1997 A generalized Rayleigh quotient iteration for computing simple eigenvalues of nonnormal matrices. Zbl 0949.65029 Schwetlick, H.; Lösche, R. 2 2000 Lineare positive Operatoren und Fehlerabschätzungen bei Operatorgleichungen. Zbl 0181.16801 Schwetlick, H. 2 1969 Über die Schrittweitenwahl bei Abstiegsverfahren zur Minimierung konvexer Funktionen. Zbl 0243.65032 Dietze, S.; Schwetlick, H. 2 1971 Parametrization via secant length and application to path following. Zbl 0613.65052 Menzel, Reinhard; Schwetlick, Hubert 2 1985 Path following for large nonlinear equations by implicit block elimination based on recursive projections. Zbl 0856.65059 Schwetlick, Hubert; Timmermann, Gisela; Lösche, Ralf 2 1996 Nonlinear parameter estimation: Models, criteria and algorithms. Zbl 0794.65101 Schwetlick, H. 2 1992 Nonstandard scaling matrices for trust region Gauss-Newton methods. Zbl 0677.65051 Schwetlick, Hubert; Tiller, Volker 1 1989 Characterization and computation of period doubling points by minimally extended systems. Zbl 0929.37011 Schleiff, Stefan; Schwetlick, Hubert 1 1997 Discretized Euler-Chebyshev multistep methods. Zbl 0327.65042 Ehle, Gerd-Peter; Schwetlick, Hubert 1 1976 Zur numerischen Behandlung nichtlinearer parameterabhängiger Gleichungen. (Numerical treatment of nonlinear parameter dependent equations). Zbl 0693.65037 Schwetlick, Hubert 1 1989 Nichtlineare Parameterschätzung: Modelle, Schätzkriterien und numerische Algorithmen. Zbl 0737.65116 Schwetlick, Hubert 1 1991 Nonlinear Rayleigh functionals. Zbl 1317.65100 Schwetlick, Hubert; Schreiber, Kathrin 17 2012 Iterative computation of the smallest singular value and the corresponding singular vectors of a matrix. Zbl 1035.65038 Schwetlick, Hubert; Schnabel, Uwe 6 2003 A generalized Rayleigh quotient iteration for computing simple eigenvalues of nonnormal matrices. Zbl 0949.65029 Schwetlick, H.; Lösche, R. 2 2000 A modified block Newton iteration for approximating an invariant subspace of a symmetric matrix. Zbl 0935.65034 Lösche, Ralf; Schwetlick, Hubert; Timmermann, Gisela 5 1998 A general view of minimally extended systems for simple bifurcation points. Zbl 0915.65042 Allgower, E. L.; Schwetlick, H. 8 1997 Constrained approximation by splines with free knots. Zbl 0874.65006 Schütze, Torsten; Schwetlick, Hubert 3 1997 Computing multiple pitchfork bifurcation points. Zbl 0890.65050 Pönisch, G.; Schnabel, U.; Schwetlick, H. 2 1997 Characterization and computation of period doubling points by minimally extended systems. Zbl 0929.37011 Schleiff, Stefan; Schwetlick, Hubert 1 1997 Path following for large nonlinear equations by implicit block elimination based on recursive projections. Zbl 0856.65059 Schwetlick, Hubert; Timmermann, Gisela; Lösche, Ralf 2 1996 Least squares approximation by splines with free knots. Zbl 0847.65004 Schwetlick, Hubert; Schütze, Torsten 13 1995 Spline smoothing under constraints on derivatives. Zbl 0796.65005 Schwetlick, H.; Kunert, V. 6 1993 Nonlinear parameter estimation: Models, criteria and algorithms. Zbl 0794.65101 Schwetlick, H. 2 1992 Numerical methods for natural scientists and engineers. A computer oriented introduction. (Numerische Verfahren für Naturwissenschaftler und Ingenieure. Eine computerorientierte Einführung. Mit 74 Bildern und 34 Tabellen.) Zbl 0742.65001 Schwetlick, Hubert; Kretzschmar, Horst 4 1991 Nichtlineare Parameterschätzung: Modelle, Schätzkriterien und numerische Algorithmen. Zbl 0737.65116 Schwetlick, Hubert 1 1991 Some superlinearly convergent methods for solving singular nonlinear equations. Zbl 0709.65043 Hoy, Annegret; Schwetlick, Hubert 4 1990 Nonstandard scaling matrices for trust region Gauss-Newton methods. Zbl 0677.65051 Schwetlick, Hubert; Tiller, Volker 1 1989 Zur numerischen Behandlung nichtlinearer parameterabhängiger Gleichungen. (Numerical treatment of nonlinear parameter dependent equations). Zbl 0693.65037 Schwetlick, Hubert 1 1989 Iteratively reweighted least squares: Algorithms, convergence analysis, and numerical comparisons. Zbl 0709.65130 Wolke, R.; Schwetlick, H. 19 1988 Numerische lineare Algebra. Eine computerorientierte Einführung. Zbl 0635.65024 Kiełbasiński, A.; Schwetlick, H. 10 1988 Higher order predictors and adaptive steplength control in path following algorithms. Zbl 0641.65048 Schwetlick, Hubert; Cleve, Jürgen 16 1987 Numerical methods for estimating parameters in nonlinear models with errors in the variables. Zbl 0559.62052 Schwetlick, Hubert; Tiller, Volker 10 1985 Gauss-Newton-like methods for nonlinear least squares with equality constraints. Local convergence and applications to parameter estimation in implicit models. Zbl 0603.62072 Schwetlick, H.; Schellong, W.; Tiller, V. 3 1985 Parametrization via secant length and application to path following. Zbl 0613.65052 Menzel, Reinhard; Schwetlick, Hubert 2 1985 On the choice of steplength in path following methods. Zbl 0593.65036 Schwetlick, H. 3 1984 Ein lokal überlinear konvergentes Verfahren zur Bestimmung von Rückkehrpunkten implizit definierter Raumkurven. Zbl 0479.65031 Poenisch, Gerd; Schwetlick, Hubert 9 1982 Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter. Zbl 0463.65036 Pönisch, G.; Schwetlick, H. 32 1981 Numerische Lösung nichtlinearer Gleichungen. Zbl 0402.65028 Schwetlick, H. 73 1979 Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen. Zbl 0425.65032 Menzel, Reinhard; Schwetlick, Hubert 17 1978 Über einen Ordnungsbegriff bei Einbettungsalgorithmen zur Lösung nichtlinearer Gleichungen. Zbl 0331.65036 Menzel, R.; Schwetlick, H. 4 1976 Discretized Euler-Chebyshev multistep methods. Zbl 0327.65042 Ehle, Gerd-Peter; Schwetlick, Hubert 1 1976 Ein neues Prinzip zur Konstruktion implementierbarer global konvergenter Einbettungsalgorithmen. Zbl 0343.65019 Schwetlick, Hubert 4 1975 Über die Realisierung und Konvergenz von Mehrschrittverfahren zur iterativen Lösung nichtlinearer Gleichungen. Zbl 0294.65032 Schwetlick, H. 8 1974 Über die Schrittweitenwahl bei Abstiegsverfahren zur Minimierung konvexer Funktionen. Zbl 0243.65032 Dietze, S.; Schwetlick, H. 2 1971 Lineare positive Operatoren und Fehlerabschätzungen bei Operatorgleichungen. Zbl 0181.16801 Schwetlick, H. 2 1969 Ableitungsfreie Verfahren mit höherer Konvergenzgeschwindigkeit. Zbl 0165.17305 Schmidt, Jochen W.; Schwetlick, H. 20 1968 all cited Publications top 5 cited Publications all top 5 Cited by 193 Authors 13 Schwetlick, Hubert 9 Pönisch, Gerd 7 Jukić, Dragan 6 Solov’ëv, Sergeĭ Ivanovich 5 Argyros, Ioannis Konstantinos 5 Schmidt, Jochen Wilhelm 4 Chien, Cheng-Sheng 4 Moret, Igor 4 Potra, Florian-Alexandru 4 Schnabel, Uwe 4 Scitovski, Rudolf 4 Solov’ev, Pavel S. 3 Brown, David A. 3 Chang, Shing-Lin 3 Grau-Sánchez, Miquel 3 Korosteleva, Diana M. 3 Rheinboldt, Werner C. 3 Sabo, Kristian 3 Seydel, Rüdiger U. 3 Szyld, Daniel B. 3 Watson, Layne Terry 3 Xue, Fei 3 Zingg, David W. 2 Ge, Rendong 2 Ginestar, Damián 2 Hoy, Annegret 2 Huang, Zhijian 2 Marković, Darija 2 Mei, Zhen 2 Menzel, Reinhard 2 Noguera, Miquel 2 Samsonov, Anton A. 2 Telen, Simon 2 Verdú, Gumersindo 2 Verschelde, Jan 2 Xia, Zunquan 2 Ypma, Tjalling J. 2 Yu, Bo 1 Absil, Pierre-Antoine 1 Ainsworth, Mark 1 Allgower, Eugene L. 1 Amat Plata, Sergio 1 Argyros, Michael I. 1 Arranz Carreño, Aurelio 1 Aujol, Jean-François 1 Babuška, Ivo 1 Bank, Randolph E. 1 Bastian-Walther, Marion 1 Beliakov, Gleb 1 Benšić, Mirta 1 Bertolazzi, Enrico 1 Bier, Wolfgang 1 Biral, Francesco 1 Bockmann, Christine 1 Böttcher, Albrecht 1 Busquier, Sonia 1 Buttenschön, Andreas 1 Capannolo, A. 1 Castaño, Daniel 1 Chen, Huei-Shuang 1 Chen, Xiaoping 1 Chiappinelli, Raffaele 1 Christof, Constantin 1 Coblenz, Maximilian 1 Coughran, William M. jun. 1 De Lathauwer, Lieven 1 Devroye, Luc P. J. A. 1 Dimitrova, Dimitrina S. 1 Dong, Bo 1 Döring, Boro 1 Duff, Timothy 1 Dumett, Miguel A. 1 Edelstein-Keshet, Leah 1 El Khoury, Grece 1 Elken, Thomas R. 1 Esser, Henning 1 Eubank, Randall L. 1 Eustaquio, Rodrigo G. 1 Feld, Tal 1 Frego, Marco 1 Freitag, Melina A. 1 Georg, Kurt 1 Giannakidis, Archontis 1 Gilboa, Guy 1 González-Pintor, S. 1 González, Daniel 1 Gratton, Serge 1 Griewank, Andreas 1 Gutiérrez, José Manuel 1 Güttel, Stefan 1 Haberman, Steven 1 Halwass, Martin 1 Hartmann, Stefan 1 Hermann, Martin 1 Hernández-Verón, Miguel Ángel 1 Hilout, Saïd 1 Hoffmann, Sebastian 1 Huang, Ting-Zhu 1 Janovský, Vladimír 1 Jinzhi, Wang ...and 93 more Authors all top 5 Cited in 60 Serials 21 Computing 16 Journal of Computational and Applied Mathematics 14 Numerische Mathematik 7 Linear Algebra and its Applications 6 Applied Mathematics and Computation 5 BIT 5 Lobachevskii Journal of Mathematics 4 Numerical Functional Analysis and Optimization 4 Numerical Algorithms 3 SIAM Journal on Scientific Computing 3 Optimization Methods & Software 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Programming 2 Applied Numerical Mathematics 2 Optimization 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Computational Optimization and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics and Computing 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal of Plasticity 1 Inverse Problems 1 Journal of the Franklin Institute 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Aplikace Matematiky 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Computer Aided Geometric Design 1 Physica D 1 Statistics 1 Computational Mechanics 1 Annals of Operations Research 1 Applications of Mathematics 1 Computational Statistics 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Zeitschrift für Operations Research. Serie B: Praxis 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Soft Computing 1 Journal of Machine Learning Research (JMLR) 1 Journal of Algebra and its Applications 1 Acta Numerica 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 SIAM Journal on Imaging Sciences 1 Axioms 1 Nonlinear Analysis. Theory, Methods & Applications 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 29 Fields 121 Numerical analysis (65-XX) 21 Operator theory (47-XX) 19 Operations research, mathematical programming (90-XX) 11 Partial differential equations (35-XX) 11 Statistics (62-XX) 10 Ordinary differential equations (34-XX) 7 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year