Edit Profile (opens in new tab) Brezinski, Claude Compute Distance To: Compute Author ID: brezinski.claude Published as: Brezinski, Claude; Brezinski, C.; Brezinski, Cl. more...less Homepage: http://math.univ-lille1.fr/~brezinsk/ External Links: MGP · ORCID · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 224 Publications since 1970, including 14 Books 20 Contributions as Editor · 2 Further Contributions Biographic References: 3 Publications Co-Authors: 56 Co-Authors with 112 Joint Publications 1,472 Co-Co-Authors all top 5 Co-Authors 133 single-authored 65 Redivo-Zaglia, Michela 12 Sadok, Hassane 6 Seatzu, Sebastiano 5 Van Iseghem, Jeannette 4 He, Yi 4 Hu, Xingbiao 4 Rodriguez, Giuseppe 4 Sun, Jianqing 3 Gautschi, Walter 3 Sameh, Ahmed H. 2 Chehab, Jean-Paul 2 De Marchi, Stefano 2 Delahaye, Jean-Paul 2 Driver, Kathy A. 2 Fika, Paraskevi 2 Iske, Armin 2 Lembarki, Alami 2 Maroni, Pascal 2 Matos, Ana Cristina 2 Milovanović, Gradimir V. 2 Mitrouli, Marilena 2 Morandi Cecchi, Maria 2 Ronveaux, André 2 Saad, Yousef 2 Salam, Ahmed 2 Vianello, Marco 1 Abkowicz, A. 1 Bantegnies, F. 1 Beckermann, Bernhard 1 Butcher, John C. 1 Carnicer, Jésus Miguel 1 Carnier, Jesus M. 1 Ciarlet, Philippe Gaston 1 Cipolla, Stefano 1 Crouzeix, Michel 1 Draux, André 1 Gander, Martin Jakob 1 Germain-Bonne, Bernard 1 González-Vera, Pablo 1 Gori, Laura 1 Gross-Cholesky, Michel 1 Hayek Calil, Nácere 1 Higham, Nicholas J. 1 Korevaar, Jacob 1 Kulisch, Ulrich W. 1 Lorentzen, Lisa 1 Magnus, Alphonse Ph. 1 Meurant, Gérard A. 1 Monegato, Giovanni 1 Musschoot, C. 1 Novati, Paolo 1 Nuvet Raymond 1 Padé, Henri 1 Paszkowski, Stefan 1 Raydan, Marcos 1 Reichel, Lothar 1 Rieu, Alain C. 1 Roland, Christophe 1 Segura, Javier 1 Serra-Capizzano, Stefano 1 Spalević, Miodrag M. 1 Tam, Hon-Wah 1 Tournès, Dominique 1 Van Assche, Walter 1 Varga, Richard Steven 1 Venturino, Ezio 1 Walz, Guido 1 Wanner, Gerhard 1 Weniger, Ernst Joachim 1 Wuytack, Luc all top 5 Serials 27 Numerical Algorithms 22 Journal of Computational and Applied Mathematics 18 Applied Numerical Mathematics 14 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 13 Numerische Mathematik 7 Linear Algebra and its Applications 5 Mathematics of Computation 3 Calcolo 3 Journal of Approximation Theory 3 SIAM Journal on Scientific Computing 3 Matapli 3 Contemporary Mathematicians 2 IMA Journal of Numerical Analysis 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Rocky Mountain Journal of Mathematics 2 BIT 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Review 2 Applicationes Mathematicae 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 ETNA. Electronic Transactions on Numerical Analysis 2 Annals of Numerical Mathematics 2 Advances in Computational Mathematics 2 Revue Française d’Informatique et de Recherche Opérationnelle 2 Lecture Notes in Mathematics 2 Springer Series in Computational Mathematics 2 Studies in Computational Mathematics 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Zastosowania Matematyki 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Computing 1 The Journal of the Indian Mathematical Society. New Series 1 The Mathematics Student 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Rendiconti del Seminario Matematico 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Elemente der Mathematik 1 Journal of Physics A: Mathematical and General 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Revue d’Histoire des Mathématiques 1 Skrifter. Det Kongelige Norske Videnskabers Selskab 1 ELA. The Electronic Journal of Linear Algebra 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Rendiconti di Matematica, VI. Serie 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Cahiers d’Histoire et de Philosophie des Sciences. Nouvelle Série 1 IMACS Annals on Computing and Applied Mathematics 1 ISNM. International Series of Numerical Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 Numerical Methods and Algorithms 1 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Computing Science and Mathematics 1 Jaen Journal on Approximation 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Other Titles in Applied Mathematics all top 5 Fields 185 Numerical analysis (65-XX) 57 Approximations and expansions (41-XX) 25 Sequences, series, summability (40-XX) 22 History and biography (01-XX) 19 General and overarching topics; collections (00-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 15 Special functions (33-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Functions of a complex variable (30-XX) 5 Number theory (11-XX) 3 Computer science (68-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 199 Publications have been cited 2,493 times in 1,171 Documents Cited by ▼ Year ▼ Padé-type approximation and general orthogonal polynomials. Zbl 0418.41012Brezinski, Claude 204 1980 Extrapolation methods theory and practice. Zbl 0744.65004Brezinski, Claude; Redivo Zaglia, Michela 202 1991 A general extrapolation algorithm. Zbl 0444.65001Brezinski, C. 107 1980 Généralisations de la transformation de Shanks, de la table de Padé et de l’\(\varepsilon\)-algorithme. Zbl 0329.65006Brezinski, C. 67 1976 Accélération de la convergence en analyse numérique. Zbl 0352.65003Brezinski, C. 65 1977 Biorthogonality and its applications to numerical analysis. Zbl 0757.41001Brezinski, Claude 51 1992 Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M. 50 2004 History of continued fractions and Padé approximants. Zbl 0714.01001Brezinski, Claude 49 1991 Other manifestations of the Schur complement. Zbl 0662.65037Brezinski, Claude 48 1988 Convergence acceleration during the 20th century. Zbl 0976.65003Brezinski, C. 43 2000 Algorithmes d’accélération de la convergence. Étude numérique. Zbl 0396.65001Brezinski, Claude 39 1978 Recursive interpolation, extrapolation and projection. Zbl 0525.65007Brezinski, Claude 38 1983 Error estimates for the regularization of least squares problems. Zbl 1166.65331Brezinski, C.; Rodriguez, G.; Seatzu, S. 37 2009 Multi-parameter regularization techniques for ill-conditioned linear systems. Zbl 1024.65036Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S. 32 2003 Error estimates for linear systems with applications to regularization. Zbl 1162.65018Brezinski, C.; Rodriguez, G.; Seatzu, S. 32 2008 Avoiding breakdown and near-breakdown in Lanczos type algorithms. Zbl 0748.65033Brezinski, C.; Redivo Zaglia, M.; Sadok, H. 31 1991 Accélération du suites à convergence logarithmique. Zbl 0248.65004Brezinski, Claude 31 1971 A breakdown-free Lanczos type algorithm for solving linear systems. Zbl 0739.65027Brezinski, C.; Redivo Zaglia, M.; Sadok, H. 31 1992 Lanczos-type algorithms for solving systems of linear equations. Zbl 0780.65020Brezinski, Claude; Sadok, Hassane 30 1993 Hybrid procedures for solving linear systems. Zbl 0797.65023Brezinski, C.; Redivo-Zaglia, M. 29 1994 Extrapolation methods. Zbl 0814.65001Brezinski, C.; Redivo-Zaglia, M. 27 1994 Projection methods for linear systems. Zbl 0867.65009Brezinski, C. 26 1997 The Mühlbach-Neville-Aitken algorithm and some extensions. Zbl 0462.65006Brezinski, C. 25 1980 Rational approximation to formal power series. Zbl 0401.41013Brezinski, C. 24 1979 Sequences of transformations and triangular recursion schemes, with applications in numerical analysis. Zbl 0732.65004Brezinski, Claude; Walz, Guido 23 1991 A new presentation of orthogonal polynomials with applications to their computation. Zbl 0752.65011Brezinski, C.; Redivo Zaglia, M. 22 1991 Extrapolation techniques for ill-conditioned linear systems. Zbl 0921.65032Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S. 22 1998 Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon. Zbl 1071.42003Brezinski, C. 22 2004 Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef 21 2018 A Schur complement approach to a general extrapolation algorithm. Zbl 1027.65001Brezinski, C.; Zaglia, M. Redivo 20 2003 A general extrapolation procedure revisited. Zbl 0828.65006Brezinski, C.; Redivo-Zaglia, M. 19 1994 Extrapolation algorithms and Padé approximations: A historical survey. Zbl 0854.65001Brezinski, C. 19 1996 Padé approximations. Zbl 0875.65025Brezinski, Claude; Van Iseghem, Jeannette 19 1994 Error estimates for the solution of linear systems. Zbl 0944.65050Brezinski, C. 19 1999 The PageRank vector: properties, computation, approximation, and acceleration. Zbl 1116.65042Brezinski, Claude; Redivo-Zaglia, Michela 19 2006 Application de l’\(\varepsilon\)-algorithme à la résolution des systèmes non linéaires. (Application of the \(\varepsilon\)-algorithm for solving nonlinear systems). Zbl 0228.65043Brezinski, Claude 18 1970 Avoiding breakdown in the CGS algorithm. Zbl 0766.65024Brezinski, Claude; Sadok, Hassane 17 1991 A taste of Padé approximation. Zbl 0827.41010Brezinski, Claude; Van Iseghem, Jeannette 17 1995 Some new convergence acceleration methods. Zbl 0487.65005Brezinski, Claude 17 1982 Computational aspects of linear control. Zbl 1010.93003Brezinski, Claude 17 2002 The simplified topological \(\varepsilon\)-algorithms for accelerating sequences in a vector space. Zbl 1308.65006Brezinski, Claude; Redivo-Zaglia, Michela 16 2014 Projection methods for systems of equations. Zbl 0889.65023Brezinski, Claude 16 1997 A derivation of extrapolation algorithms based on error estimates. Zbl 0854.65002Brezinski, Claude; Matos, Ana C. 15 1996 Rational extrapolation for the PageRank vector. Zbl 1195.65046Brezinski, C.; Redivo-Zaglia, M. 15 2008 Treatment of near-breakdown in the CGS algorithm. Zbl 0810.65028Brezinski, C.; Redivo-Zaglia, M. 15 1994 Error control in convergence acceleration processes. Zbl 0515.65004Brezinski, Claude 15 1983 New representations of Padé, Padé-type, and partial Padé approximants. Zbl 1323.30044Brezinski, Claude; Redivo-Zaglia, Michela 14 2015 Some results in the theory of the vector \(\varepsilon\)-algorithm. Zbl 0273.65026Brezinski, Claude 14 1974 Nonlinear hybrid procedures and fixed point iterations. Zbl 0910.65034Brezinski, C.; Chehab, J.-P. 14 1998 A classification of quasi-Newton methods. Zbl 1030.65053Brezinski, C. 13 2003 New look-ahead Lanczos-type algorithms for linear systems. Zbl 0932.65040Brezinski, C.; Redivo Zaglia, M.; Sadok, H. 13 1999 Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. Zbl 1287.65042Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena 12 2012 Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations. Zbl 1289.15014Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena 12 2012 The simplified topological \(\varepsilon\)-algorithms: software and applications. Zbl 1362.65004Brezinski, Claude; Redivo-Zaglia, Michela 12 2017 Generalizations of aitken’s process for accelerating the convergence of sequences. Zbl 1182.65007Brezinski, Claude; Zaglia, Michela Redivo 11 2007 Addendum to “Avoiding breakdown and near-breakdown in Lanczos type algorithms”. Zbl 0769.65014Brezinski, C.; Zaglia, M. Redivo; Sadok, H. 11 1992 Matrix and vector sequence transformations revisited. Zbl 0835.65001Brezinski, C.; Salam, A. 11 1995 Breakdowns in the computation of orthogonal polynomials. Zbl 0812.65008Brezinski, C.; Redivo-Zaglia, M. 11 1994 Composite sequence transformations. Zbl 0568.65001Brezinski, Claude 11 1985 Convergence acceleration methods: The past decade. Zbl 0574.65002Brezinski, Claude 11 1985 Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm. Zbl 0311.65028Brezinski, Claude 11 1975 Extrapolation methods for PageRank computations. Zbl 1066.65040Brezinski, Claude; Redivo-Zaglia, Michela; Serra-Capizzano, Stefano 11 2005 Some vector sequence transformations with applications to systems of equations. Zbl 0794.65002Brezinski, C.; Sadok, H. 10 1992 Look-ahead in Bi-CGSTAB and other product methods for linear systems. Zbl 0831.65032Brezinski, C.; Redivo-Zaglia, M. 10 1995 Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027 10 1991 Vector and matrix sequence transformations based on biorthogonality. Zbl 0865.65001Brezinski, C.; Redivo Zaglia, M. 10 1996 The solution of systems of equations using the \(\varepsilon\)-algorithm, and an application to boundary-value problems. Zbl 0293.65060Brezinski, Claude; Rieu, Alain C. 10 1974 Padé approximants and orthogonal polynomials. Zbl 0368.41008Brezinski, C. 10 1977 Multistep \(\varepsilon\)-algorithm, Shanks’ transformation, and the Lotka-Volterra system by Hirota’s method. Zbl 1421.65002Brezinski, Claude; He, Yi; Hu, Xing-Biao; Redivo-Zaglia, Michela; Sun, Jian-Qing 10 2012 A subroutine for the general interpolation and extrapolation problems. Zbl 0485.65005Brezinski, C. 10 1982 A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship. Zbl 0714.33006Brezinski, Claude 10 1990 Remarque sur le procédé \(\Delta^ 2\) d’Aitken. Zbl 0193.12101Brezinski, C.; Crouzeix, M. 10 1970 The genesis and early developments of Aitken’s process, Shanks’ transformation, the \(\varepsilon\)-algorithm, and related fixed point methods. Zbl 1477.65011Brezinski, Claude; Redivo-Zaglia, Michela 10 2019 Bordering methods and progressive forms for sequence transformations. Zbl 0742.65003Brezinski, C. 9 1990 Prediction properties of some extrapolation methods. Zbl 0619.65001Brezinski, Claude 9 1985 Sur un algorithme de résolution des systèmes non linéaires. (On a method for solving nonlinear systems). Zbl 0228.65044Brezinski, Claude 9 1971 Convergence acceleration of Kaczmarz’s method. Zbl 1360.65098Brezinski, Claude; Redivo-Zaglia, Michela 9 2015 Construction of extrapolation processes. Zbl 0739.65001Brezinski, Claude; Redivo Zaglia, Michela 8 1991 Partial Padé approximations. Zbl 0683.41029Brezinski, Claude 8 1988 Acceleration of extended Fibonacci sequences. Zbl 0612.65002Brezinski, C.; Lembarki, A. 8 1986 Convergence acceleration by extraction of linear subsequences. Zbl 0529.65001Brezinski, C.; Delahaye, J. P.; Germain-Bonne, B. 8 1983 Sequence transformations. With an introduction by Claude Brezinski. Zbl 0652.65004Delahaye, Jean-Paul 8 1988 Variations on Richardson’s method and acceleration. Zbl 0863.65011Brezinski, Claude 8 1996 Études sur les \(\epsilon\)-et p-algorithmes. Zbl 0204.48305Brezinski, C. 8 1971 The linear convergence of limit periodic continued fractions. Zbl 0662.30003Brezinski, C.; Lembarki, A. 8 1987 Formal orthogonality on an algebraic curve. Zbl 0855.42015Brezinski, C. 7 1995 On the kernel of sequence transformations. Zbl 0819.65004Brezinski, C.; Redivo-Zaglia, M. 7 1994 Méthodes d’accélération de la convergence en analyse numérique. Zbl 0296.65002Brezinski, Claude 7 1971 Computation of Padé approximants and continued fractions. Zbl 0341.65007Brezinski, Claude 7 1976 Successive modifications of limit periodic continued fractions. Zbl 0631.65002Brezinski, C. 7 1987 Vector sequence transformations: Methodology and applications to linear systems. Zbl 0933.65003Brezinski, C. 7 1998 Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations. Zbl 0949.65054Brezinski, C.; Chehab, J.-P. 7 1999 A survey of iterative extrapolation by the \(E\)-algorithm. Zbl 0701.65003Brezinski, Claude 7 1989 Padé-type rational and barycentric interpolation. Zbl 1276.65005Brezinski, Claude; Redivo-Zaglia, Michela 7 2013 Vector orthogonal polynomials of dimension \(-d\). Zbl 0821.42015Brezinski, C.; van Iseghem, J. 6 1994 The asymptotic behavior of sequences and new series transformations based on the Cauchy product. Zbl 0741.65003Brezinski, Claude 6 1991 The generalizations of Newton’s interpolation formula due to Mühlbach and Andoyer. Zbl 0852.65006Brezinski, C. 6 1994 Cross rules and non-Abelian lattice equations for the discrete and confluent non-scalar \(\varepsilon \)-algorithms. Zbl 1192.82048Brezinski, C. 6 2010 Convergence acceleration of some sequences by the epsilon-algorithm. Zbl 0352.65004Brezinski, C. 6 1978 Block descent methods and hybrid procedures for linear systems. Zbl 1044.65023Brezinski, C. 6 2002 Extrapolation and rational approximation. The works of the main contributors. Zbl 1477.65006Brezinski, Claude; Redivo-Zaglia, Michela 3 2020 The genesis and early developments of Aitken’s process, Shanks’ transformation, the \(\varepsilon\)-algorithm, and related fixed point methods. Zbl 1477.65011Brezinski, Claude; Redivo-Zaglia, Michela 10 2019 Zeros of quadratic quasi-orthogonal order 2 polynomials. Zbl 06969467Brezinski, Claude; Driver, Kathy A.; Redivo-Zaglia, Michela 3 2019 Matrix Shanks transformations. Zbl 1431.65002Brezinski, Claude; Redivo-Zaglia, Michela 2 2019 Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations. Zbl 1416.65013Brezinski, Claude; Redivo-Zaglia, Michela 2 2019 Obituary: Reminiscences of Peter Wynn. Zbl 1405.01032Brezinski, C. 1 2019 Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef 21 2018 Hirota’s bilinear method, Shanks’ transformation, and the \(\varepsilon\)-algorithms. Zbl 1424.65001Brezinski, C.; Redivo-Zaglia, M. 2 2018 The simplified topological \(\varepsilon\)-algorithms: software and applications. Zbl 1362.65004Brezinski, Claude; Redivo-Zaglia, Michela 12 2017 Shanks function transformations in a vector space. Zbl 1372.65003Brezinski, Claude; Redivo-Zaglia, Michela 2 2017 New representations of Padé, Padé-type, and partial Padé approximants. Zbl 1323.30044Brezinski, Claude; Redivo-Zaglia, Michela 14 2015 Convergence acceleration of Kaczmarz’s method. Zbl 1360.65098Brezinski, Claude; Redivo-Zaglia, Michela 9 2015 The simplified topological \(\varepsilon\)-algorithms for accelerating sequences in a vector space. Zbl 1308.65006Brezinski, Claude; Redivo-Zaglia, Michela 16 2014 André-Louis Cholesky. Mathematician, topographer and army officer. Zbl 1320.01002Brezinski, Claude; Tournès, Dominique 2 2014 Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007Gautschi, Walter 1 2014 Padé-type rational and barycentric interpolation. Zbl 1276.65005Brezinski, Claude; Redivo-Zaglia, Michela 7 2013 Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. Zbl 1287.65042Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena 12 2012 Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations. Zbl 1289.15014Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena 12 2012 Multistep \(\varepsilon\)-algorithm, Shanks’ transformation, and the Lotka-Volterra system by Hirota’s method. Zbl 1421.65002Brezinski, Claude; He, Yi; Hu, Xing-Biao; Redivo-Zaglia, Michela; Sun, Jian-Qing 10 2012 A rational Arnoldi approach for ill-conditioned linear systems. Zbl 1254.65051Brezinski, C.; Novati, P.; Redivo-Zaglia, M. 4 2012 Confluent form of the multistep \(\varepsilon\)-algorithm, and the relevant integrable system. Zbl 1242.65002Brezinski, Claude; He, Yi; Hu, Xing-Biao; Sun, Jian-Qing; Tam, Hon-Wah 5 2011 Cross rules and non-Abelian lattice equations for the discrete and confluent non-scalar \(\varepsilon \)-algorithms. Zbl 1192.82048Brezinski, C. 6 2010 Some pioneers of extrapolation methods. Zbl 1192.65006Brezinski, Claude 5 2010 Extensions of Drummond’s process for convergence acceleration. Zbl 1201.65005Brezinski, C.; Redivo-Zaglia, M. 4 2010 From numerical quadrature to Padé approximation. Zbl 1202.41027Brezinski, C. 3 2010 A generalization of the \(G\)-transformation and the related algorithms. Zbl 1203.65011Brezinski, Claude; He, Yi; Hu, Xing-Biao; Sun, Jian-Qing 3 2010 Cross rules of some extrapolation algorithms. Zbl 1215.65005Brezinski, Claude; He, Yi; Hu, Xing-Biao; Sun, Jian-Qing 2 2010 Extended procedures for extrapolation to the limit. Zbl 1200.65001Brezinski, C.; Redivo-Zaglia, M. 2 2010 Special issue: Approximation and extrapolation of of convergent and divergent sequences and series. Selected papers based on the presentations at the conference, Marseille, France, September 28–October 2, 2009. Zbl 1205.65005 2 2010 Error estimates for the regularization of least squares problems. Zbl 1166.65331Brezinski, C.; Rodriguez, G.; Seatzu, S. 37 2009 Error estimates for linear systems with applications to regularization. Zbl 1162.65018Brezinski, C.; Rodriguez, G.; Seatzu, S. 32 2008 Rational extrapolation for the PageRank vector. Zbl 1195.65046Brezinski, C.; Redivo-Zaglia, M. 15 2008 Generalizations of aitken’s process for accelerating the convergence of sequences. Zbl 1182.65007Brezinski, Claude; Zaglia, Michela Redivo 11 2007 Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences. Zbl 1117.15018Brezinski, C.; Raydan, M. 3 2007 The PageRank vector: properties, computation, approximation, and acceleration. Zbl 1116.65042Brezinski, Claude; Redivo-Zaglia, Michela 19 2006 The life and work of André Cholesky. Zbl 1113.65001Brezinski, C. 3 2006 Iterative numerical methods. Level M 1. (Méthodes numériques itératives. Niveau M 1.) Zbl 1327.65001Brezinski, Claude; Redivo-Zaglia, Michela 1 2006 Extrapolation methods for PageRank computations. Zbl 1066.65040Brezinski, Claude; Redivo-Zaglia, Michela; Serra-Capizzano, Stefano 11 2005 The method of Cholesky. (La méthode de Cholesky.) Zbl 1177.01003Brezinski, Claude 3 2005 Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M. 50 2004 Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon. Zbl 1071.42003Brezinski, C. 22 2004 New vector sequence transformations. Zbl 1080.65001Brezinski, C.; Redivo-Zaglia, M. 2 2004 The multiparameter conjugate gradient algorithm. Zbl 1238.65022Bantegnies, F.; Brezinski, C. 2 2004 Model reduction by state space projection. Zbl 1139.93309Brezinski, C. 2 2004 Multi-parameter regularization techniques for ill-conditioned linear systems. Zbl 1024.65036Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S. 32 2003 A Schur complement approach to a general extrapolation algorithm. Zbl 1027.65001Brezinski, C.; Zaglia, M. Redivo 20 2003 A classification of quasi-Newton methods. Zbl 1030.65053Brezinski, C. 13 2003 Comparisons between vector and matrix Padé approximants. Zbl 1362.41002Brezinski, Claude 2 2003 Computational aspects of linear control. Zbl 1010.93003Brezinski, Claude 17 2002 Block descent methods and hybrid procedures for linear systems. Zbl 1044.65023Brezinski, C. 6 2002 A review of formal orthogonality in Lanczos-based methods. Zbl 0996.65031Brezinski, C.; Redivo Zaglia, M.; Sadok, H. 5 2002 Block projection methods for linear systems. Zbl 0992.65023Brezinski, C.; Redivo Zaglia, M. 2 2002 Biorthogonal vector sequence transformations and Padé approximation of vector series. Zbl 1001.65001Brezinski, C. 1 2002 An introduction to formal orthogonality and some of its applications. Zbl 1047.42020Brezinski, C. 1 2002 Numerical analysis: Historical developments in the 20th century. Zbl 0985.65002 3 2001 Dynamical systems and sequence transformations. Zbl 1001.37092Brezinski, C. 3 2001 Convergence acceleration during the 20th century. Zbl 0976.65003Brezinski, C. 43 2000 The block Lanczos and Vorobyev methods. Zbl 0961.65024Brezinski, Claude 5 2000 The matrix and polynomial approaches to Lanczos-type algorithms. Zbl 0964.65030Brezinski, C.; Redivo-Zaglia, M.; Sadok, H. 5 2000 Numerical analysis in the 20th century. (In 7 vols.) Vol. 2: Interpolation and extrapolation. Special issue. Zbl 0959.00009 3 2000 Acceleration procedures for matrix iterative methods. Zbl 0972.65023Brezinski, C. 2 2000 Variations on Lanczos’ tridiagonalization process. Zbl 0973.65032Brezinski, C.; Redivo-Zaglia, M. 1 2000 Numerical analysis 2000. Vol. 2: Interpolation and extrapolation. Repr. from the Journal of Computational and Applied Mathematics 122, Nr 1-2 (2000). Zbl 0954.65002 1 2000 Difference and differential equations and convergence acceleration algorithms. Zbl 0959.65004Brezinski, C. 1 2000 Error estimates for the solution of linear systems. Zbl 0944.65050Brezinski, C. 19 1999 New look-ahead Lanczos-type algorithms for linear systems. Zbl 0932.65040Brezinski, C.; Redivo Zaglia, M.; Sadok, H. 13 1999 Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations. Zbl 0949.65054Brezinski, C.; Chehab, J.-P. 7 1999 Multiparameter descent methods. Zbl 0932.65039Brezinski, C. 6 1999 Krylov subspace methods, biorthogonal polynomials and Padé-type approximants. Zbl 0936.65034Brezinski, C. 4 1999 Error estimates in Padé approximation. Zbl 0949.41008Brezinski, C. 2 1999 Transpose-free look-ahead algorithms for Lanczos’ method. Zbl 0937.65040Brezinski, Claude; Redivo-Zaglia, Michela 1 1999 Extrapolation techniques for ill-conditioned linear systems. Zbl 0921.65032Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S. 22 1998 Nonlinear hybrid procedures and fixed point iterations. Zbl 0910.65034Brezinski, C.; Chehab, J.-P. 14 1998 Vector sequence transformations: Methodology and applications to linear systems. Zbl 0933.65003Brezinski, C. 7 1998 Transpose-free Lanczos-type algorithms for nonsymmetric linear systems. Zbl 0907.65031Brezinski, C.; Redivo-Zaglia, M. 5 1998 Hybrid methods for solving systems of equations. Zbl 0898.65017Brezinski, C. 2 1998 Projection methods for linear systems. Zbl 0867.65009Brezinski, C. 26 1997 Projection methods for systems of equations. Zbl 0889.65023Brezinski, Claude 16 1997 Breakdowns in the implementation of the Lánczos method for solving linear systems. Zbl 0871.65025Brezinski, C.; Redivo-Zaglia, M.; Sadok, H. 5 1997 On the zeros of various kinds of orthogonal polynomials. Zbl 0885.30005Brezinski, C.; Redivo-Zaglia, M. 1 1997 A transpose-free “Lanczos/Orthodir” algorithm for linear systems. Zbl 0877.65013Brezinski, Claude 1 1997 Extrapolation algorithms and Padé approximations: A historical survey. Zbl 0854.65001Brezinski, C. 19 1996 A derivation of extrapolation algorithms based on error estimates. Zbl 0854.65002Brezinski, Claude; Matos, Ana C. 15 1996 Vector and matrix sequence transformations based on biorthogonality. Zbl 0865.65001Brezinski, C.; Redivo Zaglia, M. 10 1996 Variations on Richardson’s method and acceleration. Zbl 0863.65011Brezinski, Claude 8 1996 The algebra of linear functionals on polynomials, with applications to Padé approximation. Zbl 0862.42016Brezinski, C.; Maroni, P. 4 1996 The methods of Vorobyev and Lanczos. Zbl 0923.65023Brezinski, C. 3 1996 Acceleration properties of the hybrid procedure for solving linear systems. Zbl 0852.65033Abkowicz, A.; Brezinski, C. 3 1996 A look-ahead strategy for the implementation of some old and new extrapolation methods. Zbl 0851.65002Brezinski, C.; Redivo-Zaglia, M. 1 1996 A taste of Padé approximation. Zbl 0827.41010Brezinski, Claude; Van Iseghem, Jeannette 17 1995 Matrix and vector sequence transformations revisited. Zbl 0835.65001Brezinski, C.; Salam, A. 11 1995 Look-ahead in Bi-CGSTAB and other product methods for linear systems. Zbl 0831.65032Brezinski, C.; Redivo-Zaglia, M. 10 1995 Formal orthogonality on an algebraic curve. Zbl 0855.42015Brezinski, C. 7 1995 Hybrid procedures for solving linear systems. Zbl 0797.65023Brezinski, C.; Redivo-Zaglia, M. 29 1994 Extrapolation methods. Zbl 0814.65001Brezinski, C.; Redivo-Zaglia, M. 27 1994 A general extrapolation procedure revisited. Zbl 0828.65006Brezinski, C.; Redivo-Zaglia, M. 19 1994 Padé approximations. Zbl 0875.65025Brezinski, Claude; Van Iseghem, Jeannette 19 1994 Treatment of near-breakdown in the CGS algorithm. Zbl 0810.65028Brezinski, C.; Redivo-Zaglia, M. 15 1994 Breakdowns in the computation of orthogonal polynomials. Zbl 0812.65008Brezinski, C.; Redivo-Zaglia, M. 11 1994 On the kernel of sequence transformations. Zbl 0819.65004Brezinski, C.; Redivo-Zaglia, M. 7 1994 ...and 99 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,244 Authors 94 Brezinski, Claude 48 Reichel, Lothar 43 Redivo-Zaglia, Michela 33 Sadok, Hassane 24 Jbilou, Khalide 23 Sidi, Avram 18 Prévost, Marc 15 González-Vera, Pablo 14 Graves-Morris, Peter R. 14 Hu, Xingbiao 14 Jordaan, Kerstin 14 Weniger, Ernst Joachim 13 Driver, Kathy A. 13 Matos, Ana Cristina 12 Gu, Chuanqing 12 He, Yi 11 Bultheel, Adhemar François 11 Cuyt, Annie A. M. 11 Marcellán Español, Francisco 11 Mühlbach, Günter W. 10 Rodriguez, Giuseppe 9 Chang, Xiangke 9 Durán, Antonio José 9 Homeier, Herbert H. H. 9 Lubinsky, Doron S. 9 Raydan, Marcos 9 Walz, Guido 8 Draux, André 8 Messaoudi, Abderrahim 8 Mitrouli, Marilena 8 Safouhi, Hassan 8 Salam, Ahmed 7 Chehab, Jean-Paul 7 Fika, Paraskevi 7 Huang, Ting-Zhu 7 Magnus, Alphonse Ph. 7 Orive Rodríguez, Ramón Angel 6 Beckermann, Bernhard 6 Chen, Chaoping 6 Iserles, Arieh 6 Le Ferrand, Hervé 6 Lembarki, Alami 6 Morandi Cecchi, Maria 6 Noschese, Silvia 6 Osada, Naoki 6 Serra-Capizzano, Stefano 6 Sun, Jianqing 6 Van Iseghem, Jeannette 6 Zhang, Jun 5 Díaz-Mendoza, Carlos 5 Fdil, Abdelhaq 5 Gasca, Mariano 5 Jooste, Alta S. 5 Lima, Pedro Miguel 5 Njåstad, Olav 5 Paszkowski, Stefan 5 Roy, Dhiranjan 5 Sadaka, Rachid 5 Slevinsky, Richard Mikaël 5 Stanimirović, Predrag S. 5 Tam, Hon-Wah 5 Thukral, Rajinder 5 Toókos, Ferenc 5 Van Barel, Marc 5 Verdonk, Brigitte M. 5 Wen, Chun 5 Xiu, Dongbin 4 Bentbib, Abdeslem Hafid 4 Berlinet, Alain F. 4 Delahaye, Jean-Paul 4 Donatelli, Marco 4 Dueñas, Herbert 4 Dykes, Laura 4 Ekstrom, Sven-Erik 4 Gabutti, Bruno 4 Gilewicz, Jacek 4 Grammaticos, Basil 4 Hämarik, Uno 4 Heyouni, Mohammed 4 Huang, Guang-Xin 4 Jones, William Branham 4 Kuroda, Masahiro 4 Ma, Wentao 4 Nørsett, Syvert Paul 4 Nowak, Rafał 4 Palm, Reimo 4 Potier-Ferry, Michel 4 Pozza, Stefano 4 Ramani, Alfred 4 Raus, Toomas 4 Roland, Christophe 4 Sakakihara, Michio 4 Strakoš, Zdeněk 4 Sugiura, Hiroshi 4 Wu, Kailiang 4 Ye, Qiang 3 Aydin, Dursun 3 Bai, Zhongzhi 3 Bellalij, Mohammed 3 Benouahmane, Brahim ...and 1,144 more Authors all top 5 Cited in 215 Serials 212 Journal of Computational and Applied Mathematics 163 Numerical Algorithms 108 Applied Numerical Mathematics 38 Linear Algebra and its Applications 37 Journal of Approximation Theory 35 Numerische Mathematik 31 Applied Mathematics and Computation 22 Computer Physics Communications 20 Journal of Mathematical Analysis and Applications 19 Journal of Computational Physics 19 Mathematics of Computation 14 Computers & Mathematics with Applications 14 Calcolo 12 BIT 9 SIAM Journal on Scientific Computing 9 Computational and Applied Mathematics 9 Advances in Computational Mathematics 8 Rocky Mountain Journal of Mathematics 8 Applied Mathematics Letters 8 Numerical Linear Algebra with Applications 7 Constructive Approximation 6 Numerical Functional Analysis and Optimization 6 Journal of Scientific Computing 6 Integral Transforms and Special Functions 6 Journal of Inequalities and Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Mathematical Physics 5 Computing 5 Communications in Statistics. 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A 2 Annales de l’Institut Fourier 2 Proceedings of the American Mathematical Society 2 Quaestiones Mathematicae 2 RAIRO. Analyse Numérique 2 SIAM Journal on Numerical Analysis 2 Advances in Applied Mathematics 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 European Journal of Applied Mathematics 2 International Journal of Computer Mathematics 2 SIAM Review 2 SIAM Journal on Optimization 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Mathematical Chemistry 2 Computational Geosciences 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems in Science and Engineering 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 The Journal of Prime Research in Mathematics 2 Discrete and Continuous Dynamical Systems. Series S ...and 115 more Serials all top 5 Cited in 50 Fields 768 Numerical analysis (65-XX) 240 Approximations and expansions (41-XX) 128 Special functions (33-XX) 119 Harmonic analysis on Euclidean spaces (42-XX) 97 Linear and multilinear algebra; matrix theory (15-XX) 82 Sequences, series, summability (40-XX) 70 Functions of a complex variable (30-XX) 53 Computer science (68-XX) 52 Number theory (11-XX) 49 Partial differential equations (35-XX) 41 Statistics (62-XX) 36 Operations research, mathematical programming (90-XX) 33 Ordinary differential equations (34-XX) 26 Integral equations (45-XX) 26 Quantum theory (81-XX) 25 Operator theory (47-XX) 24 Dynamical systems and ergodic theory (37-XX) 19 History and biography (01-XX) 18 Fluid mechanics (76-XX) 17 Real functions (26-XX) 17 Probability theory and stochastic processes (60-XX) 16 Integral transforms, operational calculus (44-XX) 16 Mechanics of deformable solids (74-XX) 15 Combinatorics (05-XX) 13 Difference and functional equations (39-XX) 13 Systems theory; control (93-XX) 11 Information and communication theory, circuits (94-XX) 9 Mechanics of particles and systems (70-XX) 9 Biology and other natural sciences (92-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Potential theory (31-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year