Edit Profile Güttel, Stefan Compute Distance To: Compute Author ID: guttel.stefan Published as: Güttel, S.; Güttel, Stefan Documents Indexed: 29 Publications since 2008 all top 5 Co-Authors 1 single-authored 3 Berljafa, Mario 3 Eiermann, Michael 3 Ernst, Oliver G. 3 Schweitzer, Marcel 2 Afanasjew, Martin 2 Beckermann, Bernhard 2 Elsworth, Steven 2 Frommer, Andreas 2 Gander, Martin Jakob 2 Klein, Georges 1 Geiser, Jürgen 1 Gonnet, Pedro 1 Hogben, Leslie 1 Jarlebring, Elias 1 Knizhnerman, Leonid 1 Meerbergen, Karl 1 Michiels, Wim 1 Nakatsukasa, Yuji 1 Pálfia, Miklós 1 Pearson, John W. 1 Pestana, Jennifer 1 Petcu, Madalina 1 Polizzi, Eric 1 Stykel, Tatjana 1 Tang, Ping Tak Peter 1 Tisseur, Françoise 1 Trefethen, Lloyd Nicholas 1 Van Beeumen, Roel 1 Vandebril, Raf 1 Viaud, Gautier all top 5 Serials 8 SIAM Journal on Matrix Analysis and Applications 5 SIAM Journal on Scientific Computing 3 Linear Algebra and its Applications 3 ETNA. Electronic Transactions on Numerical Analysis 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 BIT 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Numerical Algorithms 1 SIAM Review 1 Acta Numerica 1 GAMM-Mitteilungen all top 5 Fields 28 Numerical analysis (65-XX) 7 Approximations and expansions (41-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 24 Publications have been cited 375 times in 245 Documents Cited by ▼ Year ▼ Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. Zbl 1292.65043Güttel, Stefan 55 2013 Efficient and stable Arnoldi restarts for matrix functions based on quadrature. Zbl 1309.65050Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel 30 2014 Zolotarev quadrature rules and load balancing for the FEAST eigensolver. Zbl 1321.65055Güttel, Stefan; Polizzi, Eric; Tang, Ping Tak Peter; Viaud, Gautier 27 2015 PARAEXP: a parallel integrator for linear initial-value problems. Zbl 1266.65123Gander, Martin J.; Güttel, Stefan 25 2013 Implementation of a restarted Krylov subspace method for the evaluation of matrix functions. Zbl 1153.65042Afanasjew, Martin; Eiermann, Michael; Ernst, Oliver G.; Güttel, Stefan 24 2008 Generalized rational Krylov decompositions with an application to rational approximation. Zbl 1319.65028Berljafa, Mario; Güttel, Stefan 23 2015 The nonlinear eigenvalue problem. Zbl 1377.65061Güttel, Stefan; Tisseur, Françoise 22 2017 A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions. Zbl 1276.65026Güttel, Stefan; Knizhnerman, Leonid 22 2013 NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. Zbl 1321.47128Güttel, Stefan; van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim 20 2014 Robust Padé approximation via SVD. Zbl 1266.41009Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N. 20 2013 Deflated restarting for matrix functions. Zbl 1264.65070Eiermann, M.; Ernst, O. G.; Güttel, S. 18 2011 Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices. Zbl 1316.65040Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel 13 2014 Convergence of linear barycentric rational interpolation for analytic functions. Zbl 1259.65014Güttel, Stefan; Klein, Georges 13 2012 The RKFIT algorithm for nonlinear rational approximation. Zbl 1373.65037Berljafa, Mario; Güttel, Stefan 12 2017 Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Zbl 1271.65059Beckermann, Bernhard; Güttel, Stefan 12 2012 On the convergence of rational Ritz values. Zbl 1213.15009Beckermann, Bernhard; Güttel, Stefan; Vandebril, Raf 12 2010 Some observations on weighted GMRES. Zbl 1304.65127Güttel, Stefan; Pestana, Jennifer 9 2014 A generalization of the steepest descent method for matrix functions. Zbl 1171.65367Afanasjew, M.; Eiermann, M.; Ernst, O. G.; Güttel, S. 8 2008 Scaled and squared subdiagonal Padé approximation for the matrix exponential. Zbl 1382.65125Güttel, Stefan; Nakatsukasa, Yuji 3 2016 A rational deferred correction approach to parabolic optimal control problems. Zbl 06983865Güttel, Stefan; Pearson, John W. 2 2018 Parallelization of the rational Arnoldi algorithm. Zbl 1376.65037Berljafa, Mario; Güttel, Stefan 2 2017 A nonlinear ParaExp algorithm. Zbl 1443.65094Gander, Martin J.; Güttel, Stefan; Petcu, Madalina 1 2018 Efficient high-order rational integration and deferred correction with equispaced data. Zbl 1314.65014Güttel, Stefan; Klein, Georges 1 2014 A spatially adaptive iterative method for a class of nonlinear operator eigenproblems. Zbl 1295.65109Jarlebring, Elias; Güttel, Stefan 1 2014 A rational deferred correction approach to parabolic optimal control problems. Zbl 06983865Güttel, Stefan; Pearson, John W. 2 2018 A nonlinear ParaExp algorithm. Zbl 1443.65094Gander, Martin J.; Güttel, Stefan; Petcu, Madalina 1 2018 The nonlinear eigenvalue problem. Zbl 1377.65061Güttel, Stefan; Tisseur, Françoise 22 2017 The RKFIT algorithm for nonlinear rational approximation. Zbl 1373.65037Berljafa, Mario; Güttel, Stefan 12 2017 Parallelization of the rational Arnoldi algorithm. Zbl 1376.65037Berljafa, Mario; Güttel, Stefan 2 2017 Scaled and squared subdiagonal Padé approximation for the matrix exponential. Zbl 1382.65125Güttel, Stefan; Nakatsukasa, Yuji 3 2016 Zolotarev quadrature rules and load balancing for the FEAST eigensolver. Zbl 1321.65055Güttel, Stefan; Polizzi, Eric; Tang, Ping Tak Peter; Viaud, Gautier 27 2015 Generalized rational Krylov decompositions with an application to rational approximation. Zbl 1319.65028Berljafa, Mario; Güttel, Stefan 23 2015 Efficient and stable Arnoldi restarts for matrix functions based on quadrature. Zbl 1309.65050Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel 30 2014 NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. Zbl 1321.47128Güttel, Stefan; van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim 20 2014 Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices. Zbl 1316.65040Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel 13 2014 Some observations on weighted GMRES. Zbl 1304.65127Güttel, Stefan; Pestana, Jennifer 9 2014 Efficient high-order rational integration and deferred correction with equispaced data. Zbl 1314.65014Güttel, Stefan; Klein, Georges 1 2014 A spatially adaptive iterative method for a class of nonlinear operator eigenproblems. Zbl 1295.65109Jarlebring, Elias; Güttel, Stefan 1 2014 Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. Zbl 1292.65043Güttel, Stefan 55 2013 PARAEXP: a parallel integrator for linear initial-value problems. Zbl 1266.65123Gander, Martin J.; Güttel, Stefan 25 2013 A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions. Zbl 1276.65026Güttel, Stefan; Knizhnerman, Leonid 22 2013 Robust Padé approximation via SVD. Zbl 1266.41009Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N. 20 2013 Convergence of linear barycentric rational interpolation for analytic functions. Zbl 1259.65014Güttel, Stefan; Klein, Georges 13 2012 Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Zbl 1271.65059Beckermann, Bernhard; Güttel, Stefan 12 2012 Deflated restarting for matrix functions. Zbl 1264.65070Eiermann, M.; Ernst, O. G.; Güttel, S. 18 2011 On the convergence of rational Ritz values. Zbl 1213.15009Beckermann, Bernhard; Güttel, Stefan; Vandebril, Raf 12 2010 Implementation of a restarted Krylov subspace method for the evaluation of matrix functions. Zbl 1153.65042Afanasjew, Martin; Eiermann, Michael; Ernst, Oliver G.; Güttel, Stefan 24 2008 A generalization of the steepest descent method for matrix functions. Zbl 1171.65367Afanasjew, M.; Eiermann, M.; Ernst, O. G.; Güttel, S. 8 2008 all cited Publications top 5 cited Publications all top 5 Cited by 390 Authors 15 Güttel, Stefan 8 Gander, Martin Jakob 8 Simoncini, Valeria 8 Vandebril, Raf 7 Novati, Paolo 6 Aceto, Lidia 6 Beckermann, Bernhard 6 Botchev, Mikhail A. 6 Nakatsukasa, Yuji 6 Robol, Leonardo 6 Schweitzer, Marcel 5 Dopico, Froilán M. 5 Jarlebring, Elias 5 Kürschner, Patrick 5 Saad, Yousef 5 Van Barel, Marc 4 Benzi, Michele 4 Camps, Daan 4 Frommer, Andreas 4 Grimm, Volker 4 Massei, Stefano 4 Meerbergen, Karl 4 Reichel, Lothar 4 Spence, Euan A. 4 Trefethen, Lloyd Nicholas 3 Abdi, Ali 3 Berljafa, Mario 3 Berrut, Jean-Paul 3 Druskin, Vladimir 3 Graham, Ivan G. 3 Halpern, Laurence 3 Hosseini, Seyyed Ahmad 3 Jagels, Carl F. 3 Kressner, Daniel 3 Mach, Thomas 3 Marcaida, Silvia 3 Mele, Giampaolo 3 Polizzi, Eric 3 Sakurai, Tetsuya 3 Vabishchevich, Pëtr Nikolaevich 3 Van Dooren, Paul M. 3 Wu, Gang 3 Wu, Shulin 3 Xi, Yuanzhe 3 Zhang, Chuanzeng 2 Arrigo, Francesca 2 Bai, Zhaojun 2 Benner, Peter 2 Botchev, Mike A. 2 Boyd, John Philip 2 Bultheel, Adhemar François 2 Caruso, Noe Angelo 2 Cherkaev, Elena 2 Cong, Yuhao 2 Cruz-Barroso, Ruymán 2 Du, Lei 2 Elsworth, Steven 2 Fasi, Massimiliano 2 Gaaf, Sarah W. 2 Geurts, Bernard J. 2 Gilboa, Guy 2 Göckler, Tanja 2 Gopalakrishnan, Jay 2 Grubišić, Luka 2 Gugercin, Serkan 2 Higham, Nicholas J. 2 Iannazzo, Bruno 2 Imakura, Akira 2 Jiang, Yaolin 2 Knizhnerman, Leonid 2 Kooij, Gijs L. 2 Kordy, Michal 2 Kwok, Felix 2 Li, Dongping 2 Lund, Kathryn 2 Matos, Ana Cristina 2 Mena, Hermann 2 Miao, Changqing 2 Michiels, Wim 2 Ong, Benjamin W. 2 Ovall, Jeffrey S. 2 Petcu, Madalina 2 Portapila, M. I. 2 Power, Henry 2 Quintana, María C. 2 Relton, Samuel D. 2 Saak, Jens 2 Song, Bo 2 Szyld, Daniel B. 2 Tang, Ping Tak Peter 2 Tisseur, Françoise 2 Vainikko, Eero 2 Van Beeumen, Roel 2 Wannamaker, Philip 2 Xiao, Jinyou 2 Zheng, Changjun 2 Zhuang, Meiling 1 Acebrón, Juan A. 1 Afanasjew, Martin 1 Aishima, Kensuke ...and 290 more Authors all top 5 Cited in 52 Serials 37 SIAM Journal on Scientific Computing 25 Journal of Computational and Applied Mathematics 20 SIAM Journal on Matrix Analysis and Applications 17 Linear Algebra and its Applications 12 BIT 11 Numerical Algorithms 10 Numerische Mathematik 8 Journal of Computational Physics 7 Journal of Scientific Computing 6 Computers & Mathematics with Applications 6 Applied Numerical Mathematics 5 ETNA. Electronic Transactions on Numerical Analysis 4 Mathematics of Computation 4 Calcolo 4 Advances in Computational Mathematics 3 Applied Mathematics and Computation 3 SIAM Journal on Numerical Analysis 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Review 3 Numerical Linear Algebra with Applications 3 Engineering Analysis with Boundary Elements 2 Computer Methods in Applied Mechanics and Engineering 2 Inverse Problems 2 International Journal for Numerical Methods in Engineering 2 Journal of Approximation Theory 2 International Journal of Computer Mathematics 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 ACM Transactions on Mathematical Software 1 Mathematics and Computers in Simulation 1 Systems & Control Letters 1 Applied Mathematics Letters 1 Computational Statistics 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Quantitative Finance 1 Acta Numerica 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 GAMM-Mitteilungen 1 Discrete and Continuous Dynamical Systems. Series S 1 Eurasian Mathematical Journal 1 European Actuarial Journal 1 Journal of Applied Analysis and Computation 1 Axioms 1 Annales Henri Lebesgue all top 5 Cited in 34 Fields 222 Numerical analysis (65-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 42 Partial differential equations (35-XX) 30 Approximations and expansions (41-XX) 18 Operator theory (47-XX) 14 Systems theory; control (93-XX) 13 Optics, electromagnetic theory (78-XX) 11 Functions of a complex variable (30-XX) 9 Ordinary differential equations (34-XX) 7 Mechanics of deformable solids (74-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Integral equations (45-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year