Edit Profile (opens in new tab) Gutknecht, Martin H. Co-Author Distance Author ID: gutknecht.martin-h Published as: Gutknecht, Martin H.; Gutknecht, Martin; Gutknecht, M. H.; Gutknecht, M. more...less Homepage: https://people.math.ethz.ch/~mhg/ External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 86 Publications since 1971, including 1 Book 6 Contributions as Editor Reviewing Activity: 39 Reviews Co-Authors: 38 Co-Authors with 46 Joint Publications 1,146 Co-Co-Authors all top 5 Co-Authors 46 single-authored 10 Trefethen, Lloyd Nicholas 4 Hochbruck, Marlis 4 Rozložník, Miroslav 3 Bai, Zhongzhi 3 Gander, Martin Jakob 3 Meurant, Gérard A. 3 Redivo-Zaglia, Michela 3 Rodriguez, Giuseppe 2 Ellacott, Stephen W. 2 Golub, Gene Howard 2 Henrici, Peter 2 Läuchli, Peter 2 Ressel, Klaus J. 2 Röllin, Stefan 2 Rutishauser, Heinz 2 Schmelzer, Thomas 2 Schwarz, Hans Rudolf 1 Ashby, Steven F. 1 Boley, Daniel L. 1 Cabay, Stan 1 Elhay, Sylvan 1 Freund, Roland W. 1 Gaul, André 1 Gragg, William B. 1 Hayashi, Eric 1 Jiránek, Pavel 1 Kaiser, André 1 Liesen, Jörg 1 Marti, Jürgen 1 Meleshko, Ron 1 Nabben, Reinhard 1 Nachtigal, Noël M. 1 Niethammer, Wilhelm 1 Parlett, Beresford Neill 1 Saff, Edward Barry 1 Schönauer, Willi 1 Strakoš, Zdeněk 1 Varga, Richard Steven 1 Zemke, Jens-Peter Max all top 5 Serials 8 Numerische Mathematik 8 SIAM Journal on Matrix Analysis and Applications 6 Numerical Algorithms 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 3 IMA Journal of Numerical Analysis 3 Journal of Approximation Theory 3 Journal of Computational and Applied Mathematics 3 Linear Algebra and its Applications 3 SIAM Journal on Scientific Computing 3 ETNA. Electronic Transactions on Numerical Analysis 2 BIT 2 Constructive Approximation 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Computing 1 Transactions of the American Mathematical Society 1 SIAM Journal on Scientific and Statistical Computing 1 Acta Applicandae Mathematicae 1 Parallel Computing 1 Elemente der Mathematik 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe all top 5 Fields 68 Numerical analysis (65-XX) 36 Approximations and expansions (41-XX) 28 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 2 Operator theory (47-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 915 times in 564 Documents Cited by ▼ Year ▼ An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices. Zbl 0770.65022 Freund, Roland W.; Gutknecht, Martin H.; Nachtigal, Noël M. 102 1993 Variants of BiCGStab for matrices with complex spectrum. Zbl 0837.65031 Gutknecht, Martin H. 76 1993 A completed theory of the unsymmetric Lanczos process and related algorithms. I. Zbl 0760.65039 Gutknecht, Martin H. 58 1992 A framework for deflated and augmented Krylov subspace methods. Zbl 1273.65049 Gaul, André; Gutknecht, Martin H.; Liesen, Jörg; Nabben, Reinhard 53 2013 A completed theory of the unsymmetric Lanczos process and related algorithms. II. Zbl 0809.65028 Gutknecht, Martin H. 40 1994 Lanczos-type solvers for nonsymmetric linear systems of equations. Zbl 0888.65030 Gutknecht, Martin H. 37 1997 Lectures on numerical mathematics. Ed. by Martin Gutknecht with the assistance of Peter Henrici, Peter Läuchli and Hans-Rudolf Schwarz. Transl. by Walter Gautschi. Zbl 0699.65002 Rutishauser, Heinz 36 1990 The Caratheodory-Fejer method for real rational approximation. Zbl 0526.41022 Trefethen, Lloyd N.; Gutknecht, Martin H. 30 1983 Numerical conformal mapping methods based on function conjugation. Zbl 0585.30010 Gutknecht, Martin H. 21 1986 Accuracy of two three-term and three two-term recurrences for Krylov space solvers. Zbl 0976.65030 Gutknecht, Martin H.; Strakos, Zdenvek 21 2000 Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems. Zbl 0777.65014 Gutknecht, Martin H. 20 1993 How to make simpler GMRES and GCR more stable. Zbl 1176.65036 Jiránek, Pavel; Rozložník, Miroslav; Gutknecht, Martin H. 20 2008 The block grade of a block Krylov space. Zbl 1163.65015 Gutknecht, Martin H.; Schmelzer, Thomas 18 2009 Deflated and augmented Krylov subspace methods: A framework for deflated BiCG and related solvers. Zbl 1316.65041 Gutknecht, Martin H. 18 2014 Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023 Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047 Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 Numerical experiments on solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods. Zbl 0508.65059 Gutknecht, Martin H. 15 1983 Solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods. Zbl 0451.65101 Gutknecht, Martin H. 15 1981 The Chebyshev iteration revisited. Zbl 0984.68209 Gutknecht, Martin H.; Röllin, Stefan 14 2002 Changing the norm in conjugate gradient type algorithms. Zbl 0851.65017 Gutknecht, Martin H. 13 1993 Eigenvalue computations based on IDR. Zbl 1273.65055 Gutknecht, Martin H.; Zemke, Jens-Peter M. 13 2013 Fast algorithms for the conjugate periodic function. Zbl 0402.65015 Gutknecht, M. H. 13 1979 The CF table. Zbl 0698.30039 Hayashi, Eric; Trefethen, Lloyd N.; Gutknecht, Martin H. 13 1990 Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights. Zbl 0752.65010 Boley, Daniel L.; Elhay, Sylvan; Golub, Gene H.; Gutknecht, Martin H. 12 1991 Spectral deflation in Krylov solvers: a theory of coordinate space based methods. Zbl 1285.65021 Gutknecht, Martin H. 12 2012 IDR explained. Zbl 1189.65060 Gutknecht, Martin H. 10 2010 Stationary and almost stationary iterative (k,l)-step methods for linear and nonlinear systems of equations. Zbl 0685.65044 Gutknecht, Martin H. 10 1989 k-step iterative methods for solving nonlinear systems of equations. Zbl 0597.65047 Gutknecht, M. H.; Niethammer, W.; Varga, R. S. 10 1986 Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012 Gutknecht, Martin H.; Hochbruck, Marlis 9 1994 By how much can residual minimization accelerate the convergence of orthogonal residual methods? Zbl 0987.65032 Gutknecht, Martin H.; Rozlozník, Miroslav 9 2001 Non-strong uniqueness in real and complex Chebyshev approximation. Zbl 0447.41016 Gutknecht, Martin H. 9 1978 Rational Carathéodory-Fejér approximation on a disk, a circle, and an interval. Zbl 0543.41016 Gutknecht, Martin H. 9 1984 Continued fractions associated with the Newton-Padé table. Zbl 0681.41011 Gutknecht, Martin H. 9 1989 Existence of a solution to the discrete Theodorsen equation for conformal mappings. Zbl 0365.30004 Gutknecht, Martin H. 8 1977 The polynomial Caratheodory-Fejer approximation method for Jordan regions. Zbl 0525.30029 Ellacott, S. W.; Gutknecht, M. H. 8 1983 Residual smoothing techniques: Do they improve the limiting accuracy of iterative solvers? Zbl 0984.65026 Gutknecht, Martin H.; Rozložnik, Miroslav 8 2001 Real polynomial Chebyshev approximation by the Caratheodory-Fejer method. Zbl 0491.41026 Gutknecht, Martin H.; Trefethen, Lloyd N. 8 1982 Stable look-ahead versions of the Euclidean and Chebyshev algorithms. Zbl 0830.65007 Gragg, William B.; Gutknecht, Martin H. 7 1994 Vorlesungen über numerische Mathematik. Band 1: Gleichungssysteme, Interpolation und Approximation. Band 2: Differentialgleichungen und Eigenwertprobleme. Herausgegeben von Martin Gutknecht unter Mitwirkung von Peter Henrici, Peter Läuchli, Hans-Rudolf Schwarz. Zbl 0349.65001 Rutishauser, Heinz 7 1976 Nonuniqueness of best rational Chebyshev approximations on the unit disk. Zbl 0521.41012 Gutknecht, Martin H.; Threfethen, Lloyd N. 7 1983 Updating the QR decomposition of block tridiagonal and block Hessenberg matrices. Zbl 1143.65032 Gutknecht, Martin H.; Schmelzer, Thomas 7 2008 The rational interpolation problem revisited. Zbl 0759.41013 Gutknecht, Martin H. 6 1991 Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025 Gutknecht, Martin H.; Hochbruck, Marlis 6 1996 From qd to LR, or, how were the qd and LR algorithms discovered? Zbl 1222.65032 Gutknecht, Martin H.; Parlett, Beresford N. 6 2011 On convergence and degeneracy in rational Padé and Chebyshev approximation. Zbl 0567.41017 Trefethen, Lloyd N.; Gutknecht, Martin H. 6 1985 An iterative method for solving linear equations based on minimum norm Pick-Nevanlinna interpolation. Zbl 0609.41002 Gutknecht, Martin H. 6 1986 A brief introduction to Krylov space methods for solving linear systems. Zbl 1344.65042 Gutknecht, Martin H. 6 2007 A posteriori error bounds for the zeros of a polynomial. Zbl 0235.65034 Gutknecht, Martin 6 1972 Block structure and recursiveness in rational interpolation. Zbl 0766.41016 Gutknecht, Martin H. 5 1993 The Lanczos process and Padé approximation. Zbl 1260.65027 Gutknecht, Martin H. 5 1994 Attenuation factors in multivariate Fourier analysis. Zbl 0639.65079 Gutknecht, Martin H. 5 1987 Real vs. complex rational Chebyshev approximation on an interval. Zbl 0552.41009 Trefethen, Lloyd N.; Gutknecht, Martin H. 5 1983 Look-ahead procedures for Lanczos-type product methods based on three-term Lanczos recurrences. Zbl 0961.65025 Gutknecht, Martin H.; Ressel, Klaus J. 4 2000 Padé, stable Padé, and Chebyshev-Padé approximation. Zbl 0624.41020 Trefethen, L. N.; Gutknecht, M. H. 4 1987 A framework for generalized conjugate gradient methods – with special emphasis on contributions by Rüdiger Weiß. Zbl 0996.65034 Gutknecht, Martin H.; Rozloẓník, Miroslav 4 2002 Variations of Zhang’s Lanczos-type product method. Zbl 0994.65029 Röllin, Stefan; Gutknecht, Martin H. 4 2002 Real and complex Chebyshev approximation on the unit disk and interval. Zbl 0511.30025 Gutknecht, Martin H.; Trefethen, Lloyd N. 4 1983 On the computation of the conjugate trigonometric rational function and on a related splitting problem. Zbl 0542.65096 Gutknecht, Martin H. 4 1983 A matrix analysis of conjugate gradient algorithms. Zbl 0793.65018 Ashby, Steven F.; Gutknecht, Martin H. 3 1993 The multipoint Padé table and general recurrences for rational interpolation. Zbl 0801.41013 Gutknecht, Martin H. 3 1993 Iterative k-step methods for computing possibly repulsive fixed points in Banach spaces. Zbl 0635.65070 Gutknecht, Martin H.; Kaiser, André 3 1987 The evaluation of the conjugate function of a periodic spline on a uniform mesh. Zbl 0629.65010 Gutknecht, Martin H. 3 1986 Modified moments for indefinite weight functions. Zbl 0679.30029 Golub, Gene H.; Gutknecht, Martin H. 3 1990 On complex rational approximation. II: The Carathéodory-Fejér method. Zbl 0539.41014 Gutknecht, Martin H. 3 1983 The multipoint Padé table and general recurrences for rational interpolation. Zbl 0803.41020 Gutknecht, Martin H. 2 1994 QMR smoothing for Lanczos-type product methods based on three-term recurrences. Zbl 0912.65024 Ressel, Klaus J.; Gutknecht, Martin H. 2 1998 Algebraically solvable Chebyshev approximation problems. Zbl 0541.41017 Gutknecht, Martin H. 2 1983 Solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear methods. Zbl 0438.65114 Gutknecht, Martin H. 2 1981 Ein Abstiegsverfahren für gleichmäßige Approximation, mit Anwendungen. Diss. Zbl 0277.65004 Gutknecht, Martin 2 1973 Stable rational interpolation? Zbl 0810.41006 Cabay, Stan; Gutknecht, Martin H.; Meleshko, Ron 1 1994 On certain types of \((k,l)\)-step methods for solving linear systems of equations. Zbl 0786.65026 Gutknecht, Martin H. 1 1992 On complex rational approximation. I: The characterization problem. Zbl 0526.41016 Gutknecht, Martin H. 1 1983 On Lanczos-type methods for Wilson fermions. Zbl 1187.65161 Gutknecht, Martin H. 1 2000 Revisiting \((k,\ell)\)-step methods. Zbl 1317.65119 Gutknecht, Martin H. 1 2015 Hankel norm approximation of power spectra. Zbl 0607.65005 Gutknecht, Martin H. 1 1986 Numerical analysis in Zürich – 50 years ago. Zbl 1209.01108 Gutknecht, Martin H. 1 2010 Ein Abstiegsverfahren für nicht-diskrete Tschebyscheff- Approximationsprobleme. Zbl 0404.65010 Gutknecht, Martin H. 1 1978 Real vs. complex rational Chebyshev approximation on complex domains. Zbl 0542.41014 Gutknecht, Martin H.; Trefethen, Lloyd N. 1 1984 Revisiting \((k,\ell)\)-step methods. Zbl 1317.65119 Gutknecht, Martin H. 1 2015 Deflated and augmented Krylov subspace methods: A framework for deflated BiCG and related solvers. Zbl 1316.65041 Gutknecht, Martin H. 18 2014 A framework for deflated and augmented Krylov subspace methods. Zbl 1273.65049 Gaul, André; Gutknecht, Martin H.; Liesen, Jörg; Nabben, Reinhard 53 2013 Eigenvalue computations based on IDR. Zbl 1273.65055 Gutknecht, Martin H.; Zemke, Jens-Peter M. 13 2013 Spectral deflation in Krylov solvers: a theory of coordinate space based methods. Zbl 1285.65021 Gutknecht, Martin H. 12 2012 From qd to LR, or, how were the qd and LR algorithms discovered? Zbl 1222.65032 Gutknecht, Martin H.; Parlett, Beresford N. 6 2011 IDR explained. Zbl 1189.65060 Gutknecht, Martin H. 10 2010 Numerical analysis in Zürich – 50 years ago. Zbl 1209.01108 Gutknecht, Martin H. 1 2010 The block grade of a block Krylov space. Zbl 1163.65015 Gutknecht, Martin H.; Schmelzer, Thomas 18 2009 How to make simpler GMRES and GCR more stable. Zbl 1176.65036 Jiránek, Pavel; Rozložník, Miroslav; Gutknecht, Martin H. 20 2008 Updating the QR decomposition of block tridiagonal and block Hessenberg matrices. Zbl 1143.65032 Gutknecht, Martin H.; Schmelzer, Thomas 7 2008 A brief introduction to Krylov space methods for solving linear systems. Zbl 1344.65042 Gutknecht, Martin H. 6 2007 The Chebyshev iteration revisited. Zbl 0984.68209 Gutknecht, Martin H.; Röllin, Stefan 14 2002 A framework for generalized conjugate gradient methods – with special emphasis on contributions by Rüdiger Weiß. Zbl 0996.65034 Gutknecht, Martin H.; Rozloẓník, Miroslav 4 2002 Variations of Zhang’s Lanczos-type product method. Zbl 0994.65029 Röllin, Stefan; Gutknecht, Martin H. 4 2002 By how much can residual minimization accelerate the convergence of orthogonal residual methods? Zbl 0987.65032 Gutknecht, Martin H.; Rozlozník, Miroslav 9 2001 Residual smoothing techniques: Do they improve the limiting accuracy of iterative solvers? Zbl 0984.65026 Gutknecht, Martin H.; Rozložnik, Miroslav 8 2001 Accuracy of two three-term and three two-term recurrences for Krylov space solvers. Zbl 0976.65030 Gutknecht, Martin H.; Strakos, Zdenvek 21 2000 Look-ahead procedures for Lanczos-type product methods based on three-term Lanczos recurrences. Zbl 0961.65025 Gutknecht, Martin H.; Ressel, Klaus J. 4 2000 On Lanczos-type methods for Wilson fermions. Zbl 1187.65161 Gutknecht, Martin H. 1 2000 QMR smoothing for Lanczos-type product methods based on three-term recurrences. Zbl 0912.65024 Ressel, Klaus J.; Gutknecht, Martin H. 2 1998 Lanczos-type solvers for nonsymmetric linear systems of equations. Zbl 0888.65030 Gutknecht, Martin H. 37 1997 Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025 Gutknecht, Martin H.; Hochbruck, Marlis 6 1996 Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023 Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047 Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 A completed theory of the unsymmetric Lanczos process and related algorithms. II. Zbl 0809.65028 Gutknecht, Martin H. 40 1994 Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012 Gutknecht, Martin H.; Hochbruck, Marlis 9 1994 Stable look-ahead versions of the Euclidean and Chebyshev algorithms. Zbl 0830.65007 Gragg, William B.; Gutknecht, Martin H. 7 1994 The Lanczos process and Padé approximation. Zbl 1260.65027 Gutknecht, Martin H. 5 1994 The multipoint Padé table and general recurrences for rational interpolation. Zbl 0803.41020 Gutknecht, Martin H. 2 1994 Stable rational interpolation? Zbl 0810.41006 Cabay, Stan; Gutknecht, Martin H.; Meleshko, Ron 1 1994 An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices. Zbl 0770.65022 Freund, Roland W.; Gutknecht, Martin H.; Nachtigal, Noël M. 102 1993 Variants of BiCGStab for matrices with complex spectrum. Zbl 0837.65031 Gutknecht, Martin H. 76 1993 Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems. Zbl 0777.65014 Gutknecht, Martin H. 20 1993 Changing the norm in conjugate gradient type algorithms. Zbl 0851.65017 Gutknecht, Martin H. 13 1993 Block structure and recursiveness in rational interpolation. Zbl 0766.41016 Gutknecht, Martin H. 5 1993 A matrix analysis of conjugate gradient algorithms. Zbl 0793.65018 Ashby, Steven F.; Gutknecht, Martin H. 3 1993 The multipoint Padé table and general recurrences for rational interpolation. Zbl 0801.41013 Gutknecht, Martin H. 3 1993 A completed theory of the unsymmetric Lanczos process and related algorithms. I. Zbl 0760.65039 Gutknecht, Martin H. 58 1992 On certain types of \((k,l)\)-step methods for solving linear systems of equations. Zbl 0786.65026 Gutknecht, Martin H. 1 1992 Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights. Zbl 0752.65010 Boley, Daniel L.; Elhay, Sylvan; Golub, Gene H.; Gutknecht, Martin H. 12 1991 The rational interpolation problem revisited. Zbl 0759.41013 Gutknecht, Martin H. 6 1991 Lectures on numerical mathematics. Ed. by Martin Gutknecht with the assistance of Peter Henrici, Peter Läuchli and Hans-Rudolf Schwarz. Transl. by Walter Gautschi. Zbl 0699.65002 Rutishauser, Heinz 36 1990 The CF table. Zbl 0698.30039 Hayashi, Eric; Trefethen, Lloyd N.; Gutknecht, Martin H. 13 1990 Modified moments for indefinite weight functions. Zbl 0679.30029 Golub, Gene H.; Gutknecht, Martin H. 3 1990 Stationary and almost stationary iterative (k,l)-step methods for linear and nonlinear systems of equations. Zbl 0685.65044 Gutknecht, Martin H. 10 1989 Continued fractions associated with the Newton-Padé table. Zbl 0681.41011 Gutknecht, Martin H. 9 1989 Attenuation factors in multivariate Fourier analysis. Zbl 0639.65079 Gutknecht, Martin H. 5 1987 Padé, stable Padé, and Chebyshev-Padé approximation. Zbl 0624.41020 Trefethen, L. N.; Gutknecht, M. H. 4 1987 Iterative k-step methods for computing possibly repulsive fixed points in Banach spaces. Zbl 0635.65070 Gutknecht, Martin H.; Kaiser, André 3 1987 Numerical conformal mapping methods based on function conjugation. Zbl 0585.30010 Gutknecht, Martin H. 21 1986 k-step iterative methods for solving nonlinear systems of equations. Zbl 0597.65047 Gutknecht, M. H.; Niethammer, W.; Varga, R. S. 10 1986 An iterative method for solving linear equations based on minimum norm Pick-Nevanlinna interpolation. Zbl 0609.41002 Gutknecht, Martin H. 6 1986 The evaluation of the conjugate function of a periodic spline on a uniform mesh. Zbl 0629.65010 Gutknecht, Martin H. 3 1986 Hankel norm approximation of power spectra. Zbl 0607.65005 Gutknecht, Martin H. 1 1986 On convergence and degeneracy in rational Padé and Chebyshev approximation. Zbl 0567.41017 Trefethen, Lloyd N.; Gutknecht, Martin H. 6 1985 Rational Carathéodory-Fejér approximation on a disk, a circle, and an interval. Zbl 0543.41016 Gutknecht, Martin H. 9 1984 Real vs. complex rational Chebyshev approximation on complex domains. Zbl 0542.41014 Gutknecht, Martin H.; Trefethen, Lloyd N. 1 1984 The Caratheodory-Fejer method for real rational approximation. Zbl 0526.41022 Trefethen, Lloyd N.; Gutknecht, Martin H. 30 1983 Numerical experiments on solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods. Zbl 0508.65059 Gutknecht, Martin H. 15 1983 The polynomial Caratheodory-Fejer approximation method for Jordan regions. Zbl 0525.30029 Ellacott, S. W.; Gutknecht, M. H. 8 1983 Nonuniqueness of best rational Chebyshev approximations on the unit disk. Zbl 0521.41012 Gutknecht, Martin H.; Threfethen, Lloyd N. 7 1983 Real vs. complex rational Chebyshev approximation on an interval. Zbl 0552.41009 Trefethen, Lloyd N.; Gutknecht, Martin H. 5 1983 Real and complex Chebyshev approximation on the unit disk and interval. Zbl 0511.30025 Gutknecht, Martin H.; Trefethen, Lloyd N. 4 1983 On the computation of the conjugate trigonometric rational function and on a related splitting problem. Zbl 0542.65096 Gutknecht, Martin H. 4 1983 On complex rational approximation. II: The Carathéodory-Fejér method. Zbl 0539.41014 Gutknecht, Martin H. 3 1983 Algebraically solvable Chebyshev approximation problems. Zbl 0541.41017 Gutknecht, Martin H. 2 1983 On complex rational approximation. I: The characterization problem. Zbl 0526.41016 Gutknecht, Martin H. 1 1983 Real polynomial Chebyshev approximation by the Caratheodory-Fejer method. Zbl 0491.41026 Gutknecht, Martin H.; Trefethen, Lloyd N. 8 1982 Solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods. Zbl 0451.65101 Gutknecht, Martin H. 15 1981 Solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear methods. Zbl 0438.65114 Gutknecht, Martin H. 2 1981 Fast algorithms for the conjugate periodic function. Zbl 0402.65015 Gutknecht, M. H. 13 1979 Non-strong uniqueness in real and complex Chebyshev approximation. Zbl 0447.41016 Gutknecht, Martin H. 9 1978 Ein Abstiegsverfahren für nicht-diskrete Tschebyscheff- Approximationsprobleme. Zbl 0404.65010 Gutknecht, Martin H. 1 1978 Existence of a solution to the discrete Theodorsen equation for conformal mappings. Zbl 0365.30004 Gutknecht, Martin H. 8 1977 Vorlesungen über numerische Mathematik. Band 1: Gleichungssysteme, Interpolation und Approximation. Band 2: Differentialgleichungen und Eigenwertprobleme. Herausgegeben von Martin Gutknecht unter Mitwirkung von Peter Henrici, Peter Läuchli, Hans-Rudolf Schwarz. Zbl 0349.65001 Rutishauser, Heinz 7 1976 Ein Abstiegsverfahren für gleichmäßige Approximation, mit Anwendungen. Diss. Zbl 0277.65004 Gutknecht, Martin 2 1973 A posteriori error bounds for the zeros of a polynomial. Zbl 0235.65034 Gutknecht, Martin 6 1972 all cited Publications top 5 cited Publications all top 5 Cited by 721 Authors 28 Gutknecht, Martin H. 15 Brezinski, Claude 13 Trefethen, Lloyd Nicholas 13 Van Barel, Marc 12 Redivo-Zaglia, Michela 11 Freund, Roland W. 10 Bultheel, Adhemar François 10 Huang, Ting-Zhu 9 Carpentieri, Bruno 9 Carson, Erin Claire 9 Jing, Yanfei 9 Sadok, Hassane 8 Reichel, Lothar 8 Sleijpen, Gerard L. G. 8 Sogabe, Tomohiro 8 Van der Vorst, Henk Albertus 8 Zhang, Shao-Liang 7 Szyld, Daniel B. 6 Aihara, Kensuke 6 Strakoš, Zdeněk 6 Ye, Qiang 5 Bai, Zhaojun 5 Beckermann, Bernhard 5 Berrut, Jean-Paul 5 Du, Lei 5 Gu, Xian-Ming 5 Heyouni, Mohammed 5 Hochbruck, Marlis 5 Nakatsukasa, Yuji 5 Rozložník, Miroslav 5 Saad, Yousef 5 Van Dooren, Paul M. 5 Van Gijzen, Martin Bastiaan 5 Wu, Gang 5 Zhang, Jianhua 4 Abe, Kuniyoshi 4 Boley, Daniel L. 4 Cao, Zhihao 4 Dai, Hua 4 Graves-Morris, Peter R. 4 Greif, Chen 4 Li, Xiezhang 4 Li, Xin 4 Niethammer, Wilhelm 4 Pozza, Stefano 4 Saff, Edward Barry 4 Soodhalter, Kirk M. 4 Vuik, Cornelis 4 Wegert, Elias 4 Zemke, Jens-Peter Max 3 Astudillo, Reinaldo 3 Bartelt, Martin W. 3 Benner, Peter 3 Bojanczyk, Adam W. 3 Braess, Dietrich 3 Cao, Weiming 3 Chan, Tony Fan-Cheong 3 Chui, Charles Kam-tai 3 Duan, Yong 3 Eiermann, Michael 3 Elbouyahyaoui, Lakhdar 3 Gallivan, Kyle A. 3 Garrappa, Roberto 3 Gemignani, Luca 3 Golub, Gene Howard 3 Grimme, Eric 3 Heinig, Georg 3 Huang, Weizhang 3 Hübner, Otto 3 Il’in, Valeriĭ Pavlovich 3 Ishiwata, Emiko 3 Jiang, Zhaolin 3 Meurant, Gérard A. 3 Morgan, Ronald B. 3 Nabben, Reinhard 3 Paige, Christopher Conway 3 Pindza, Edson 3 Sadkane, Miloud 3 Schmelzer, Thomas 3 Scott, Jennifer 3 Tichý, Petr 3 Toutounian, Faezeh 3 van Buggenhout, Niel 3 Vanroose, Wim 3 Varga, Richard Steven 3 Wang, Zengqi 3 Ward, Joseph Dinneen 3 Wegmann, Rudolf 3 Wei, Yimin 3 Weiss, Rüdiger 3 Wen, Chun 3 Yang, Aili 2 Abubakar, Aria 2 Agullo, Emmanuel 2 Bank, Randolph E. 2 Bao, Liang 2 Barrio, Roberto 2 Bertaccini, Daniele 2 Bettayeb, Maamar 2 Bouyghf, F. ...and 621 more Authors all top 5 Cited in 110 Serials 80 Journal of Computational and Applied Mathematics 52 Linear Algebra and its Applications 49 Numerical Algorithms 26 SIAM Journal on Scientific Computing 23 Numerische Mathematik 22 Applied Numerical Mathematics 22 Numerical Linear Algebra with Applications 20 Computers & Mathematics with Applications 17 Journal of Computational Physics 16 Applied Mathematics and Computation 16 SIAM Journal on Matrix Analysis and Applications 15 Journal of Approximation Theory 13 BIT 11 Constructive Approximation 8 Mathematics of Computation 8 Journal of Scientific Computing 7 Computer Methods in Applied Mechanics and Engineering 7 Advances in Computational Mathematics 5 Japan Journal of Industrial and Applied Mathematics 5 ETNA. 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(English Edition) 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 International Journal of Adaptive Control and Signal Processing 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Pattern Recognition 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Russian Mathematics 1 Communications in Numerical Methods in Engineering 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Optimization Methods & Software 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Computational Methods 1 Acta Numerica 1 Progress in Computational Fluid Dynamics 1 Communications in Computational Physics 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics ...and 10 more Serials all top 5 Cited in 39 Fields 461 Numerical analysis (65-XX) 88 Approximations and expansions (41-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 75 Functions of a complex variable (30-XX) 37 Partial differential equations (35-XX) 26 Systems theory; control (93-XX) 19 Fluid mechanics (76-XX) 14 Operator theory (47-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Mechanics of deformable solids (74-XX) 10 Integral equations (45-XX) 9 Computer science (68-XX) 8 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Special functions (33-XX) 7 Operations research, mathematical programming (90-XX) 6 Optics, electromagnetic theory (78-XX) 6 Information and communication theory, circuits (94-XX) 5 Field theory and polynomials (12-XX) 4 History and biography (01-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year