Edit Profile (opens in new tab) Beckermann, Bernhard Co-Author Distance Author ID: beckermann.bernhard Published as: Beckermann, Bernhard; Beckermann, B.; Beckermann, Bernard more...less Homepage: http://math.univ-lille1.fr/~bbecker/ External Links: MGP Documents Indexed: 85 Publications since 1989, including 1 Book and 4 Additional arXiv Preprints Co-Authors: 60 Co-Authors with 72 Joint Publications 1,865 Co-Co-Authors all top 5 Co-Authors 12 single-authored 17 Labahn, George 5 Crouzeix, Michel 5 Matos, Ana Cristina 4 Wielonsky, Franck 3 Badea, Catalin 3 Cabay, Stan 3 Carstensen, Carsten 3 Kaliaguine, Valeri A. 3 Kressner, Daniel 3 Vandebril, Raf 3 Wimp, Jet 2 Castro, Mirta M. 2 Cheng, Howard 2 Gilewicz, Jacek 2 Güttel, Stefan 2 Kalyagin, Valery A. 2 Kuijlaars, Arno B. J. 2 Mertens, Clara 2 Mühlbach, Günter W. 2 Reichel, Lothar 2 Saff, Edward Barry 2 Schweitzer, Marcel 2 Stylianopoulos, Nikos S. 2 Townsend, Alex 1 Bessis, Daniel 1 Bisch, Joanna 1 Bourreau, Emmanuel 1 Brezinski, Claude 1 Bultheel, Adhemar François 1 Bustamante González, Jorge 1 Cortinovis, Alice 1 Coussement, Jonathan 1 Derevyagin, Maxim S. 1 Filip, Silviu-Ioan 1 Golub, Gene Howard 1 Goreinov, Sergei Anatolievich 1 Graves-Morris, Peter R. 1 Gryson, Alexis 1 Helart, Thomas 1 Joulak, Hédi 1 Jumentier, Romain 1 Leopold, Elie 1 Martínez-Cruz, Reinaldo 1 Martínez-Finkelshtein, Andrei 1 Nakatsukasa, Yuji 1 Neuber, A. 1 Perotti, Luca 1 Putinar, Mihai 1 Quesada, José María 1 Ragonnet, Romain 1 Rakhmanov, Evgenij Andreevich 1 Serra-Capizzano, Stefano 1 Tobler, Christine 1 Trefethen, Lloyd Nicholas 1 Tyrtyshnikov, Evgeniĭ Evgen’evich 1 Van Assche, Walter 1 Van Barel, Marc 1 Villard, Gilles 1 Vrinceanu, Daniel 1 Zhedanov, Alexei S. all top 5 Serials 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Matrix Analysis and Applications 6 Journal of Approximation Theory 6 SIAM Journal on Numerical Analysis 6 Constructive Approximation 6 Numerical Algorithms 4 Numerische Mathematik 4 Journal of Symbolic Computation 3 Linear Algebra and its Applications 2 Archiv der Mathematik 2 Applicationes Mathematicae 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Calcolo 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 East Journal on Approximations 1 Reliable Computing 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Matapli 1 Jaen Journal on Approximation all top 5 Fields 49 Numerical analysis (65-XX) 35 Approximations and expansions (41-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 14 Functions of a complex variable (30-XX) 12 Operator theory (47-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Special functions (33-XX) 6 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Sequences, series, summability (40-XX) 3 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 920 times in 676 Documents Cited by ▼ Year ▼ Error estimates and evaluation of matrix functions via the Faber transform. Zbl 1204.65041 Beckermann, Bernhard; Reichel, Lothar 83 2009 The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. Zbl 0965.15003 Beckermann, Bernhard 59 2000 Superlinear convergence of conjugate gradients. Zbl 0997.65058 Beckermann, Bernhard; Kuijlaars, Arno B. J. 44 2001 A uniform approach for the fast computation of matrix-type Padé approximants. Zbl 0805.65008 Beckermann, Bernhard; Labahn, George 44 1994 On the singular values of matrices with displacement structure. Zbl 1386.15024 Beckermann, Bernhard; Townsend, Alex 39 2017 Complex Jacobi matrices. Zbl 0977.30007 Beckermann, Bernhard 36 2001 Fraction-free row reduction of matrices of Ore polynomials. Zbl 1151.16025 Beckermann, Bernhard; Cheng, Howard; Labahn, George 31 2006 On the asymptotic spectrum of finite element matrix sequences. Zbl 1140.65080 Beckermann, Bernhard; Serra-Capizzano, Stefano 28 2007 Some remarks on the Elman estimate for GMRES. Zbl 1101.65032 Beckermann, B.; Goreinov, S. A.; Tyrtyshnikov, E. E. 28 2006 Fraction-free computation of matrix rational interpolants and matrix GCDs. Zbl 0973.65007 Beckermann, Bernhard; Labahn, George 25 2000 An error analysis for rational Galerkin projection applied to the Sylvester equation. Zbl 1244.65057 Beckermann, Bernhard 24 2011 Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011 Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard 23 2018 Normal forms for general polynomial matrices. Zbl 1128.15005 Beckermann, Bernhard; Labahn, George; Villard, Gilles 17 2006 A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations. Zbl 0788.65017 Beckermann, Bernhard; Labahn, George 17 1992 Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses. Zbl 1261.31001 Beckermann, Bernhard; Kalyagin, Valery; Matos, Ana C.; Wielonsky, Franck 17 2013 When are two numerical polynomials relatively prime? Zbl 1008.65021 Beckermann, Bernhard; Labahn, George 16 1998 The diagonal of the Padé table and the approximation of the Weyl function of second-order difference operators. Zbl 0897.39003 Beckermann, B.; Kaliaguine, V. 16 1997 Gaussian, Lobatto and Radau positive quadrature rules with a prescribed abscissa. Zbl 1312.65032 Beckermann, Bernhard; Bustamante, Jorge; Martínez-Cruz, Reinaldo; Quesada, José M. 15 2014 Bounds on the singular values of matrices with displacement structure. Zbl 1441.15005 Beckermann, Bernhard; Townsend, Alex 14 2019 How to choose modified moments? Zbl 0935.65011 Beckermann, Bernhard; Bourreau, Emmanuel 13 1998 A reliable method for computing M-Padé approximants on arbitrary staircases. Zbl 0810.65014 Beckermann, Bernhard 13 1992 Recursiveness in matrix rational interpolation problems. Zbl 0952.65014 Beckermann, Bernhard; Labahn, George 13 1997 Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Zbl 1271.65059 Beckermann, Bernhard; Güttel, Stefan 13 2012 On the convergence of rational Ritz values. Zbl 1213.15009 Beckermann, Bernhard; Güttel, Stefan; Vandebril, Raf 13 2010 On the numerical condition of a generalized Hankel eigenvalue problem. Zbl 1121.65036 Beckermann, B.; Golub, G. H.; Labahn, G. 12 2007 Low-rank updates of matrix functions. Zbl 1390.15024 Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel 12 2018 Superlinear CG convergence for special right-hand sides. Zbl 1024.65102 Beckermann, Bernhard; Kuijlaars, Arno B. J. 12 2002 Multiple Wilson and Jacobi–Piñeiro polynomials. Zbl 1066.33005 Beckermann, B.; Coussement, J.; Van Assche, W. 12 2005 Numerical range, GMRES and Faber polynomials. (Image numérique, GMRES et polynômes de Faber.) Zbl 1076.47004 Beckermann, Bernhard 12 2005 The structure of the singular solution table of the M-Padé approximation problem. Zbl 0711.41004 Beckermann, Bernhard 12 1990 Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method. Zbl 1208.30036 Beckermann, Bernhard; Gryson, Alexis 11 2010 Intersections of several disks of the Riemann sphere as \(K\)-spectral sets. Zbl 1169.47008 Badea, Catalin; Beckermann, Bernhard; Crouzeix, Michel 10 2009 The linear pencil approach to rational interpolation. Zbl 1193.41001 Beckermann, Bernhard; Derevyagin, Maxim; Zhedanov, Alexei 9 2010 Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm. Zbl 1165.65087 Beckermann, Bernhard; Matos, Ana C.; Wielonsky, Franck 9 2008 A fast and numerically stable Euclidean-like algorithm for detecting relatively prime numerical polynomials. Zbl 0935.65051 Beckermann, Bernhard; Labahn, George 8 1998 On Gautschi’s conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1194.41040 Joulak, Hédi; Beckermann, Bernhard 8 2009 Fraction-free computation of matrix Padé systems. Zbl 0916.65039 Beckermann, Bernhard; Cabay, Stan; Labahn, George 7 1997 On the determinacy of complex Jacobi matrices. Zbl 1070.47018 Beckermann, Bernhard; Castro Smirnova, Mirta 7 2004 Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class. Zbl 1064.42014 Beckermann, B.; Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Wielonsky, F. 7 2004 On the theory and computation of nonperfect Padé-Hermite approximants. Zbl 0810.65013 Cabay, Stan; Labahn, George; Beckermann, Bernhard 7 1992 How well does the Hermite-Padé approximation smooth the Gibbs phenomenon? Zbl 1223.41008 Beckermann, Bernhard; Kalyagin, Valeriy; Matos, Ana C.; Wielonsky, Franck 6 2011 On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator. Zbl 0931.30002 Beckermann, Bernhard 6 1999 Recurrence relations with periodic coefficients and Chebyshev polynomials. Zbl 0849.42014 Beckermann, B.; Gilewicz, J.; Leopold, E. 6 1995 Fraction-free row reduction of matrices of skew polynomials. Zbl 1072.68647 Beckermann, Bernhard; Cheng, Howard; Labahn, George 6 2002 Algebraic properties of robust Padé approximants. Zbl 1311.41009 Beckermann, Bernhard; Matos, Ana C. 6 2015 On the classification of the spectrum of second order difference operators. Zbl 0969.47027 Beckermann, Bernhard 5 2000 On a conjecture of E. A. Rakhmanov. Zbl 1092.33009 Beckermann, B. 5 2000 On rational functions without Froissart doublets. Zbl 1390.41016 Beckermann, Bernhard; Labahn, George; Matos, Ana C. 5 2018 Bergman orthogonal polynomials and the Grunsky matrix. Zbl 1397.30005 Beckermann, Bernhard; Stylianopoulos, Nikos 5 2018 Some spectral properties of infinite band matrices. Zbl 1042.39009 Beckermann, B.; Osipov, A. 5 2003 The Arnoldi process and GMRES for nearly symmetric matrices. Zbl 1165.65009 Beckermann, Bernhard; Reichel, Lothar 5 2008 Zur Interpolation mit polynomialen Linearkombinationen beliebiger Funktionen. (On interpolation with polynomial linear combinations of arbitrary functions). Zbl 0707.41005 Beckermann, Bernhard 5 1989 An error analysis of Galerkin projection methods for linear systems with tensor product structure. Zbl 1287.65032 Beckermann, Bernhard; Kressner, Daniel; Tobler, Christine 5 2013 Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra. Zbl 1103.65311 Beckermann, Bernhard 4 2006 A general determinantal identity of Sylvester type and some applications. Zbl 0801.15004 Beckermann, B.; Mühlbach, G. 4 1994 Faber polynomials of matrices for non-convex sets. Zbl 06817335 Beckermann, Bernhard; Crouzeix, Michel 4 2014 Low-rank updates of matrix functions. II: Rational Krylov methods. Zbl 1469.65086 Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel 4 2021 Operators with numerical range in a conic domain. Zbl 1126.47006 Beckermann, Bernhard; Crouzeix, Michel 3 2007 The stable computation of formal orthogonal polynomials. Zbl 0848.65007 Beckermann, Bernard 3 1996 A lenticular version of a von Neumann inequality. Zbl 1105.47011 Beckermann, Bernhard; Crouzeix, Michel 3 2006 Matrix rational interpolation with poles as interpolation points. Zbl 0803.41006 van Barel, M.; Beckermann, B.; Bultheel, A.; Labahn, G. 3 1994 Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 1470.42049 Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos 3 2021 Families of two-point Padé approximants and some \(_ 4F_ 3(1)\) identities. Zbl 0834.33001 Wimp, Jet; Beckermann, Bernhard 2 1995 Some explicit formulas for Padé approximants of ratios of hypergeometric functions. Zbl 0834.41014 Wimp, Jet; Beckermann, Bernhard 2 1993 Fraction-free computation of simultaneous Padé approximants. Zbl 1237.41003 Beckermann, Bernhard; Labahn, George 2 2009 Effective computation of rational approximants and interpolants. Zbl 0969.65010 Beckermann, Bernhard; Labahn, George 2 2000 Shanks’s transformation revisited. Zbl 0755.65001 Beckermann, B.; Neuber, A.; Mühlbach, G. 2 1992 Some dynamically trivial mappings with applications to the improvement of simple iteration. Zbl 0765.65052 Beckermann, Bernhard; Wimp, Jet 2 1992 The compass (star) identity for vector-valued rational interpolants. Zbl 0888.41007 Graves-Morris, P. R.; Beckermann, B. 2 1997 QD-type algorithms for the nonnormal Newton-Padé approximation table. Zbl 0853.30024 Beckermann, B.; Carstensen, C. 2 1996 The sensitivity of least squares polynomial approximation. Zbl 0937.65051 Beckermann, Bernhard; Saff, Edward B. 1 1999 Inversion of mosaic Hankel matrices via matrix polynomial systems. Zbl 0824.15027 Labahn, George; Beckermann, Bernhard; Cabay, Stan 1 1995 Global identities in the non-normal Newton–Padé approximation table. Zbl 0780.41007 Beckermann, Bernhard; Carstensen, Carsten 1 1993 A reliable modification of the cross rule for rational Hermite interpolation. Zbl 0786.65003 Beckermann, Bernhard; Carstensen, Carsten 1 1992 On the definition and normality of a general table of simultaneous Padé approximants. Zbl 0802.41019 Beckermann, Bernhard; Gilewicz, Jacek; Kaliaguine, Valeri 1 1994 March of the emperor penguin. (La marche de l’empereur.) Zbl 1365.92147 Ragonnet, Romain; Jumentier, Romain; Beckermann, Bernhard 1 2013 On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices. Zbl 1497.65081 Beckermann, Bernhard; Bisch, Joanna; Luce, Robert 1 2022 On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices. Zbl 1497.65081 Beckermann, Bernhard; Bisch, Joanna; Luce, Robert 1 2022 Low-rank updates of matrix functions. II: Rational Krylov methods. Zbl 1469.65086 Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel 4 2021 Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 1470.42049 Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos 3 2021 Bounds on the singular values of matrices with displacement structure. Zbl 1441.15005 Beckermann, Bernhard; Townsend, Alex 14 2019 Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011 Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard 23 2018 Low-rank updates of matrix functions. Zbl 1390.15024 Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel 12 2018 On rational functions without Froissart doublets. Zbl 1390.41016 Beckermann, Bernhard; Labahn, George; Matos, Ana C. 5 2018 Bergman orthogonal polynomials and the Grunsky matrix. Zbl 1397.30005 Beckermann, Bernhard; Stylianopoulos, Nikos 5 2018 On the singular values of matrices with displacement structure. Zbl 1386.15024 Beckermann, Bernhard; Townsend, Alex 39 2017 Algebraic properties of robust Padé approximants. Zbl 1311.41009 Beckermann, Bernhard; Matos, Ana C. 6 2015 Gaussian, Lobatto and Radau positive quadrature rules with a prescribed abscissa. Zbl 1312.65032 Beckermann, Bernhard; Bustamante, Jorge; Martínez-Cruz, Reinaldo; Quesada, José M. 15 2014 Faber polynomials of matrices for non-convex sets. Zbl 06817335 Beckermann, Bernhard; Crouzeix, Michel 4 2014 Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses. Zbl 1261.31001 Beckermann, Bernhard; Kalyagin, Valery; Matos, Ana C.; Wielonsky, Franck 17 2013 An error analysis of Galerkin projection methods for linear systems with tensor product structure. Zbl 1287.65032 Beckermann, Bernhard; Kressner, Daniel; Tobler, Christine 5 2013 March of the emperor penguin. (La marche de l’empereur.) Zbl 1365.92147 Ragonnet, Romain; Jumentier, Romain; Beckermann, Bernhard 1 2013 Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Zbl 1271.65059 Beckermann, Bernhard; Güttel, Stefan 13 2012 An error analysis for rational Galerkin projection applied to the Sylvester equation. Zbl 1244.65057 Beckermann, Bernhard 24 2011 How well does the Hermite-Padé approximation smooth the Gibbs phenomenon? Zbl 1223.41008 Beckermann, Bernhard; Kalyagin, Valeriy; Matos, Ana C.; Wielonsky, Franck 6 2011 On the convergence of rational Ritz values. Zbl 1213.15009 Beckermann, Bernhard; Güttel, Stefan; Vandebril, Raf 13 2010 Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method. Zbl 1208.30036 Beckermann, Bernhard; Gryson, Alexis 11 2010 The linear pencil approach to rational interpolation. Zbl 1193.41001 Beckermann, Bernhard; Derevyagin, Maxim; Zhedanov, Alexei 9 2010 Error estimates and evaluation of matrix functions via the Faber transform. Zbl 1204.65041 Beckermann, Bernhard; Reichel, Lothar 83 2009 Intersections of several disks of the Riemann sphere as \(K\)-spectral sets. Zbl 1169.47008 Badea, Catalin; Beckermann, Bernhard; Crouzeix, Michel 10 2009 On Gautschi’s conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1194.41040 Joulak, Hédi; Beckermann, Bernhard 8 2009 Fraction-free computation of simultaneous Padé approximants. Zbl 1237.41003 Beckermann, Bernhard; Labahn, George 2 2009 Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm. Zbl 1165.65087 Beckermann, Bernhard; Matos, Ana C.; Wielonsky, Franck 9 2008 The Arnoldi process and GMRES for nearly symmetric matrices. Zbl 1165.65009 Beckermann, Bernhard; Reichel, Lothar 5 2008 On the asymptotic spectrum of finite element matrix sequences. Zbl 1140.65080 Beckermann, Bernhard; Serra-Capizzano, Stefano 28 2007 On the numerical condition of a generalized Hankel eigenvalue problem. Zbl 1121.65036 Beckermann, B.; Golub, G. H.; Labahn, G. 12 2007 Operators with numerical range in a conic domain. Zbl 1126.47006 Beckermann, Bernhard; Crouzeix, Michel 3 2007 Fraction-free row reduction of matrices of Ore polynomials. Zbl 1151.16025 Beckermann, Bernhard; Cheng, Howard; Labahn, George 31 2006 Some remarks on the Elman estimate for GMRES. Zbl 1101.65032 Beckermann, B.; Goreinov, S. A.; Tyrtyshnikov, E. E. 28 2006 Normal forms for general polynomial matrices. Zbl 1128.15005 Beckermann, Bernhard; Labahn, George; Villard, Gilles 17 2006 Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra. Zbl 1103.65311 Beckermann, Bernhard 4 2006 A lenticular version of a von Neumann inequality. Zbl 1105.47011 Beckermann, Bernhard; Crouzeix, Michel 3 2006 Multiple Wilson and Jacobi–Piñeiro polynomials. Zbl 1066.33005 Beckermann, B.; Coussement, J.; Van Assche, W. 12 2005 Numerical range, GMRES and Faber polynomials. (Image numérique, GMRES et polynômes de Faber.) Zbl 1076.47004 Beckermann, Bernhard 12 2005 On the determinacy of complex Jacobi matrices. Zbl 1070.47018 Beckermann, Bernhard; Castro Smirnova, Mirta 7 2004 Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class. Zbl 1064.42014 Beckermann, B.; Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Wielonsky, F. 7 2004 Some spectral properties of infinite band matrices. Zbl 1042.39009 Beckermann, B.; Osipov, A. 5 2003 Superlinear CG convergence for special right-hand sides. Zbl 1024.65102 Beckermann, Bernhard; Kuijlaars, Arno B. J. 12 2002 Fraction-free row reduction of matrices of skew polynomials. Zbl 1072.68647 Beckermann, Bernhard; Cheng, Howard; Labahn, George 6 2002 Superlinear convergence of conjugate gradients. Zbl 0997.65058 Beckermann, Bernhard; Kuijlaars, Arno B. J. 44 2001 Complex Jacobi matrices. Zbl 0977.30007 Beckermann, Bernhard 36 2001 The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. Zbl 0965.15003 Beckermann, Bernhard 59 2000 Fraction-free computation of matrix rational interpolants and matrix GCDs. Zbl 0973.65007 Beckermann, Bernhard; Labahn, George 25 2000 On the classification of the spectrum of second order difference operators. Zbl 0969.47027 Beckermann, Bernhard 5 2000 On a conjecture of E. A. Rakhmanov. Zbl 1092.33009 Beckermann, B. 5 2000 Effective computation of rational approximants and interpolants. Zbl 0969.65010 Beckermann, Bernhard; Labahn, George 2 2000 On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator. Zbl 0931.30002 Beckermann, Bernhard 6 1999 The sensitivity of least squares polynomial approximation. Zbl 0937.65051 Beckermann, Bernhard; Saff, Edward B. 1 1999 When are two numerical polynomials relatively prime? Zbl 1008.65021 Beckermann, Bernhard; Labahn, George 16 1998 How to choose modified moments? Zbl 0935.65011 Beckermann, Bernhard; Bourreau, Emmanuel 13 1998 A fast and numerically stable Euclidean-like algorithm for detecting relatively prime numerical polynomials. Zbl 0935.65051 Beckermann, Bernhard; Labahn, George 8 1998 The diagonal of the Padé table and the approximation of the Weyl function of second-order difference operators. Zbl 0897.39003 Beckermann, B.; Kaliaguine, V. 16 1997 Recursiveness in matrix rational interpolation problems. Zbl 0952.65014 Beckermann, Bernhard; Labahn, George 13 1997 Fraction-free computation of matrix Padé systems. Zbl 0916.65039 Beckermann, Bernhard; Cabay, Stan; Labahn, George 7 1997 The compass (star) identity for vector-valued rational interpolants. Zbl 0888.41007 Graves-Morris, P. R.; Beckermann, B. 2 1997 The stable computation of formal orthogonal polynomials. Zbl 0848.65007 Beckermann, Bernard 3 1996 QD-type algorithms for the nonnormal Newton-Padé approximation table. Zbl 0853.30024 Beckermann, B.; Carstensen, C. 2 1996 Recurrence relations with periodic coefficients and Chebyshev polynomials. Zbl 0849.42014 Beckermann, B.; Gilewicz, J.; Leopold, E. 6 1995 Families of two-point Padé approximants and some \(_ 4F_ 3(1)\) identities. Zbl 0834.33001 Wimp, Jet; Beckermann, Bernhard 2 1995 Inversion of mosaic Hankel matrices via matrix polynomial systems. Zbl 0824.15027 Labahn, George; Beckermann, Bernhard; Cabay, Stan 1 1995 A uniform approach for the fast computation of matrix-type Padé approximants. Zbl 0805.65008 Beckermann, Bernhard; Labahn, George 44 1994 A general determinantal identity of Sylvester type and some applications. Zbl 0801.15004 Beckermann, B.; Mühlbach, G. 4 1994 Matrix rational interpolation with poles as interpolation points. Zbl 0803.41006 van Barel, M.; Beckermann, B.; Bultheel, A.; Labahn, G. 3 1994 On the definition and normality of a general table of simultaneous Padé approximants. Zbl 0802.41019 Beckermann, Bernhard; Gilewicz, Jacek; Kaliaguine, Valeri 1 1994 Some explicit formulas for Padé approximants of ratios of hypergeometric functions. Zbl 0834.41014 Wimp, Jet; Beckermann, Bernhard 2 1993 Global identities in the non-normal Newton–Padé approximation table. Zbl 0780.41007 Beckermann, Bernhard; Carstensen, Carsten 1 1993 A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations. Zbl 0788.65017 Beckermann, Bernhard; Labahn, George 17 1992 A reliable method for computing M-Padé approximants on arbitrary staircases. Zbl 0810.65014 Beckermann, Bernhard 13 1992 On the theory and computation of nonperfect Padé-Hermite approximants. Zbl 0810.65013 Cabay, Stan; Labahn, George; Beckermann, Bernhard 7 1992 Shanks’s transformation revisited. Zbl 0755.65001 Beckermann, B.; Neuber, A.; Mühlbach, G. 2 1992 Some dynamically trivial mappings with applications to the improvement of simple iteration. Zbl 0765.65052 Beckermann, Bernhard; Wimp, Jet 2 1992 A reliable modification of the cross rule for rational Hermite interpolation. Zbl 0786.65003 Beckermann, Bernhard; Carstensen, Carsten 1 1992 The structure of the singular solution table of the M-Padé approximation problem. Zbl 0711.41004 Beckermann, Bernhard 12 1990 Zur Interpolation mit polynomialen Linearkombinationen beliebiger Funktionen. (On interpolation with polynomial linear combinations of arbitrary functions). Zbl 0707.41005 Beckermann, Bernhard 5 1989 all cited Publications top 5 cited Publications all top 5 Cited by 824 Authors 32 Serra-Capizzano, Stefano 30 Beckermann, Bernhard 22 Reichel, Lothar 19 Labahn, George 15 Garoni, Carlo 14 Simoncini, Valeria 13 Kressner, Daniel 11 Abramov, Sergeĭ Aleksandrovich 11 Manni, Carla 11 Nakatsukasa, Yuji 11 Speleers, Hendrik 11 Van Barel, Marc 10 Donatelli, Marco 10 Güttel, Stefan 9 Derevyagin, Maxim S. 9 Massei, Stefano 9 Spence, Euan A. 9 Townsend, Alex 8 Bultheel, Adhemar François 8 Schweitzer, Marcel 8 Trefethen, Lloyd Nicholas 7 Neiger, Vincent 7 Pozza, Stefano 7 Robol, Leonardo 7 Saff, Edward Barry 7 Villard, Gilles 6 Aptekarev, Alexander Ivanovich 6 Benzi, Michele 6 Kuijlaars, Arno B. J. 6 Kürschner, Patrick 6 Pranic, Miroslav S. 6 Schost, Éric 6 Sesana, Debora 5 Bostan, Alin 5 Branquinho, Amílcar José Pinto Lopes 5 De la Cruz Cabrera, Omar 5 Dragnev, Peter D. 5 Giesbrecht, Mark W. 5 Graham, Ivan G. 5 Graves-Morris, Peter R. 5 Hardin, Douglas P. 5 Jeannerod, Claude-Pierre 5 Li, Rencang 5 Lubinsky, Doron S. 5 Martínez-Finkelshtein, Andrei 5 Mazza, Mariarosa 5 Redivo-Zaglia, Michela 5 Roopaei, Hadi 5 Strakoš, Zdeněk 5 Vandebril, Raf 4 Baker, George Allen jun. 4 Barbarino, Giovanni 4 Barkatou, Moulay A. 4 Brezinski, Claude 4 Cruz-Barroso, Ruymán 4 D’Andrea, Carlos 4 de Camargo, André Pierro 4 Druskin, Vladimir 4 Foulquié Moreno, Ana Pilar 4 Hofreither, Clemens 4 Jagels, Carl F. 4 Kauers, Manuel 4 Lysov, Vladimir G. 4 Novati, Paolo 4 Palitta, Davide 4 Putinar, Mihai 4 Rosenkilde, Johan 4 Štampach, František 4 Wilber, Heather 4 Zorii, Natalia 3 Batenkov, Dmitry 3 Bause, Markus 3 Boito, Paola 3 Cheng, Howard 3 Chèze, Guillaume 3 Claeys, Xavier 3 Cortinovis, Alice 3 Cuyt, Annie A. M. 3 Deikalova, Marina Valer’evna 3 Denisov, Sergey A. 3 Díaz-Mendoza, Carlos 3 Eshghi, Nasim 3 Frommer, Andreas 3 Fuglede, Bent 3 Gander, Martin Jakob 3 Grimm, Volker 3 Hardy, Adrien 3 Hashimoto, Yuka 3 Knizhnerman, Leonid 3 Kononova, Anna Aleksandrovna 3 Kotta, Ulle 3 Lamiri, Imed 3 Lapik, M. A. 3 Lee, Wen-shin 3 López Lagomasino, Guillermo Tomás 3 Mach, Thomas 3 Matos, Ana Cristina 3 Milovanović, Gradimir V. 3 Moret, Igor 3 Mourrain, Bernard ...and 724 more Authors all top 5 Cited in 152 Serials 52 Journal of Computational and Applied Mathematics 44 Linear Algebra and its Applications 35 SIAM Journal on Matrix Analysis and Applications 31 Journal of Symbolic Computation 28 Journal of Approximation Theory 27 Numerische Mathematik 26 Numerical Algorithms 23 SIAM Journal on Scientific Computing 22 BIT 16 Mathematics of Computation 16 ETNA. Electronic Transactions on Numerical Analysis 15 Journal of Mathematical Analysis and Applications 13 Constructive Approximation 10 Applied Numerical Mathematics 10 Advances in Computational Mathematics 9 Applied Mathematics and Computation 7 Calcolo 7 Programming and Computer Software 7 SIAM Journal on Numerical Analysis 7 Theoretical Computer Science 7 Journal of Complexity 7 Numerical Linear Algebra with Applications 6 SIAM Review 5 Computers & Mathematics with Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Linear and Multilinear Algebra 5 Proceedings of the American Mathematical Society 5 Journal of Mathematical Sciences (New York) 5 Foundations of Computational Mathematics 5 Proceedings of the Steklov Institute of Mathematics 4 Journal of Computational Physics 4 Mathematical Notes 4 Journal of Functional Analysis 4 Systems & Control Letters 4 Journal of Scientific Computing 4 Computational Mathematics and Mathematical Physics 4 Applied and Computational Harmonic Analysis 4 GAMM-Mitteilungen 4 Concrete Operators 3 International Journal of Control 3 Journal d’Analyse Mathématique 3 Advances in Mathematics 3 Integral Equations and Operator Theory 3 Transactions of the American Mathematical Society 3 Japan Journal of Industrial and Applied Mathematics 3 Designs, Codes and Cryptography 3 Sbornik: Mathematics 3 Computational Methods and Function Theory 3 Analysis and Mathematical Physics 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Quarterly of Applied Mathematics 2 Acta Applicandae Mathematicae 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Optimization 2 Integral Transforms and Special Functions 2 Journal of Difference Equations and Applications 2 Journal of Mathematical Chemistry 2 Vietnam Journal of Mathematics 2 Journal of Systems Science and Complexity 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Analysis and Operator Theory 2 Operators and Matrices 2 Proceedings of the Estonian Academy of Sciences 2 ACM Communications in Computer Algebra 2 Journal of Spectral Theory 2 Bollettino dell’Unione Matematica Italiana 1 Advances in Applied Probability 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Studies in Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 International Journal of Algebra and Computation 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Mathematical Programming. Series A. Series B ...and 52 more Serials all top 5 Cited in 49 Fields 390 Numerical analysis (65-XX) 183 Linear and multilinear algebra; matrix theory (15-XX) 128 Approximations and expansions (41-XX) 83 Operator theory (47-XX) 70 Computer science (68-XX) 61 Harmonic analysis on Euclidean spaces (42-XX) 56 Functions of a complex variable (30-XX) 56 Special functions (33-XX) 49 Partial differential equations (35-XX) 27 Systems theory; control (93-XX) 23 Ordinary differential equations (34-XX) 23 Information and communication theory, circuits (94-XX) 19 Commutative algebra (13-XX) 18 Operations research, mathematical programming (90-XX) 17 Potential theory (31-XX) 17 Difference and functional equations (39-XX) 15 Integral transforms, operational calculus (44-XX) 15 Probability theory and stochastic processes (60-XX) 13 Real functions (26-XX) 12 Combinatorics (05-XX) 12 Number theory (11-XX) 12 Sequences, series, summability (40-XX) 11 Algebraic geometry (14-XX) 10 Field theory and polynomials (12-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 5 Associative rings and algebras (16-XX) 5 Statistics (62-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year