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Author ID: brezinski.claude Recent zbMATH articles by "Brezinski, Claude"
Published as: Brezinski, Claude; Brezinski, C.; Brezinski, Cl.
Homepage: http://math.univ-lille1.fr/~brezinsk/
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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

Publications by Year

Citations contained in zbMATH Open

208 Publications have been cited 2,896 times in 1,355 Documents Cited by Year
Padé-type approximation and general orthogonal polynomials. Zbl 0418.41012
Brezinski, Claude
274
1980
Extrapolation methods theory and practice. Zbl 0744.65004
Brezinski, Claude; Redivo Zaglia, Michela
217
1991
A general extrapolation algorithm. Zbl 0444.65001
Brezinski, C.
117
1980
Accélération de la convergence en analyse numérique. Zbl 0352.65003
Brezinski, C.
89
1977
Généralisations de la transformation de Shanks, de la table de Padé et de l’\(\varepsilon\)-algorithme. Zbl 0329.65006
Brezinski, C.
70
1976
History of continued fractions and Padé approximants. Zbl 0714.01001
Brezinski, Claude
67
1991
Biorthogonality and its applications to numerical analysis. Zbl 0757.41001
Brezinski, Claude
58
1992
Other manifestations of the Schur complement. Zbl 0662.65037
Brezinski, Claude
53
1988
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
52
2004
Convergence acceleration during the 20th century. Zbl 0976.65003
Brezinski, C.
52
2000
Algorithmes d’accélération de la convergence. Étude numérique. Zbl 0396.65001
Brezinski, Claude
50
1978
Accélération du suites à convergence logarithmique. Zbl 0248.65004
Brezinski, Claude
40
1971
Error estimates for the regularization of least squares problems. Zbl 1166.65331
Brezinski, C.; Rodriguez, G.; Seatzu, S.
40
2009
Recursive interpolation, extrapolation and projection. Zbl 0525.65007
Brezinski, Claude
40
1983
Error estimates for linear systems with applications to regularization. Zbl 1162.65018
Brezinski, C.; Rodriguez, G.; Seatzu, S.
40
2008
Multi-parameter regularization techniques for ill-conditioned linear systems. Zbl 1024.65036
Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S.
38
2003
Avoiding breakdown and near-breakdown in Lanczos type algorithms. Zbl 0748.65033
Brezinski, C.; Redivo Zaglia, M.; Sadok, H.
32
1991
A breakdown-free Lanczos type algorithm for solving linear systems. Zbl 0739.65027
Brezinski, C.; Redivo Zaglia, M.; Sadok, H.
31
1992
Lanczos-type algorithms for solving systems of linear equations. Zbl 0780.65020
Brezinski, Claude; Sadok, Hassane
30
1993
Hybrid procedures for solving linear systems. Zbl 0797.65023
Brezinski, C.; Redivo-Zaglia, M.
29
1994
Extrapolation methods. Zbl 0814.65001
Brezinski, C.; Redivo-Zaglia, M.
29
1994
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
27
2018
Projection methods for linear systems. Zbl 0867.65009
Brezinski, C.
26
1997
The Mühlbach-Neville-Aitken algorithm and some extensions. Zbl 0462.65006
Brezinski, C.
26
1980
Rational approximation to formal power series. Zbl 0401.41013
Brezinski, C.
25
1979
Computational aspects of linear control. Zbl 1010.93003
Brezinski, Claude
24
2002
A taste of Padé approximation. Zbl 0827.41010
Brezinski, Claude; Van Iseghem, Jeannette
24
1995
The PageRank vector: properties, computation, approximation, and acceleration. Zbl 1116.65042
Brezinski, Claude; Redivo-Zaglia, Michela
23
2006
A Schur complement approach to a general extrapolation algorithm. Zbl 1027.65001
Brezinski, C.; Zaglia, M. Redivo
23
2003
Sequences of transformations and triangular recursion schemes, with applications in numerical analysis. Zbl 0732.65004
Brezinski, Claude; Walz, Guido
23
1991
A new presentation of orthogonal polynomials with applications to their computation. Zbl 0752.65011
Brezinski, C.; Redivo Zaglia, M.
22
1991
Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon. Zbl 1071.42003
Brezinski, C.
22
2004
Error estimates for the solution of linear systems. Zbl 0944.65050
Brezinski, C.
22
1999
Extrapolation techniques for ill-conditioned linear systems. Zbl 0921.65032
Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S.
22
1998
Padé approximations. Zbl 0875.65025
Brezinski, Claude; Van Iseghem, Jeannette
21
1994
Extrapolation algorithms and Padé approximations: A historical survey. Zbl 0854.65001
Brezinski, C.
20
1996
Some determinantal identities in a vector space, with applications. Zbl 0542.41016
Brezinski, Claude
20
1984
Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027
19
1991
Projection methods for systems of equations. Zbl 0889.65023
Brezinski, Claude
19
1997
A general extrapolation procedure revisited. Zbl 0828.65006
Brezinski, C.; Redivo-Zaglia, M.
19
1994
The simplified topological \(\varepsilon\)-algorithms for accelerating sequences in a vector space. Zbl 1308.65006
Brezinski, Claude; Redivo-Zaglia, Michela
19
2014
Avoiding breakdown in the CGS algorithm. Zbl 0766.65024
Brezinski, Claude; Sadok, Hassane
18
1991
Application de l’\(\varepsilon\)-algorithme à la résolution des systèmes non linéaires. (Application of the \(\varepsilon\)-algorithm for solving nonlinear systems). Zbl 0228.65043
Brezinski, Claude
18
1970
Some new convergence acceleration methods. Zbl 0487.65005
Brezinski, Claude
18
1982
A derivation of extrapolation algorithms based on error estimates. Zbl 0854.65002
Brezinski, Claude; Matos, Ana C.
16
1996
A classification of quasi-Newton methods. Zbl 1030.65053
Brezinski, C.
16
2003
Rational extrapolation for the PageRank vector. Zbl 1195.65046
Brezinski, C.; Redivo-Zaglia, M.
16
2008
New representations of Padé, Padé-type, and partial Padé approximants. Zbl 1323.30044
Brezinski, Claude; Redivo-Zaglia, Michela
16
2015
Quasi-linear extrapolation processes. Zbl 0654.65006
Brezinski, Claude
16
1988
The genesis and early developments of Aitken’s process, Shanks’ transformation, the \(\varepsilon\)-algorithm, and related fixed point methods. Zbl 1477.65011
Brezinski, Claude; Redivo-Zaglia, Michela
16
2019
Nonlinear hybrid procedures and fixed point iterations. Zbl 0910.65034
Brezinski, C.; Chehab, J.-P.
16
1998
Treatment of near-breakdown in the CGS algorithm. Zbl 0810.65028
Brezinski, C.; Redivo-Zaglia, M.
15
1994
Error control in convergence acceleration processes. Zbl 0515.65004
Brezinski, Claude
15
1983
Some results in the theory of the vector \(\varepsilon\)-algorithm. Zbl 0273.65026
Brezinski, Claude
14
1974
Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations. Zbl 1289.15014
Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena
14
2012
Partial Padé approximations. Zbl 0683.41029
Brezinski, Claude
14
1988
New look-ahead Lanczos-type algorithms for linear systems. Zbl 0932.65040
Brezinski, C.; Redivo Zaglia, M.; Sadok, H.
13
1999
Padé approximants and orthogonal polynomials. Zbl 0368.41008
Brezinski, C.
13
1977
Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. Zbl 1287.65042
Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena
13
2012
Multistep \(\varepsilon\)-algorithm, Shanks’ transformation, and the Lotka-Volterra system by Hirota’s method. Zbl 1421.65002
Brezinski, Claude; He, Yi; Hu, Xing-Biao; Redivo-Zaglia, Michela; Sun, Jian-Qing
13
2012
Addendum to “Avoiding breakdown and near-breakdown in Lanczos type algorithms”. Zbl 0769.65014
Brezinski, C.; Zaglia, M. Redivo; Sadok, H.
12
1992
Extrapolation methods for PageRank computations. Zbl 1066.65040
Brezinski, Claude; Redivo-Zaglia, Michela; Serra-Capizzano, Stefano
12
2005
Remarque sur le procédé \(\Delta^ 2\) d’Aitken. Zbl 0193.12101
Brezinski, C.; Crouzeix, M.
12
1970
Generalizations of aitken’s process for accelerating the convergence of sequences. Zbl 1182.65007
Brezinski, Claude; Zaglia, Michela Redivo
12
2007
Composite sequence transformations. Zbl 0568.65001
Brezinski, Claude
12
1985
Convergence acceleration methods: The past decade. Zbl 0574.65002
Brezinski, Claude
12
1985
Sequence transformations. With an introduction by Claude Brezinski. Zbl 0652.65004
Delahaye, Jean-Paul
12
1988
The simplified topological \(\varepsilon\)-algorithms: software and applications. Zbl 1362.65004
Brezinski, Claude; Redivo-Zaglia, Michela
12
2017
Prediction properties of some extrapolation methods. Zbl 0619.65001
Brezinski, Claude
11
1985
The solution of systems of equations using the \(\varepsilon\)-algorithm, and an application to boundary-value problems. Zbl 0293.65060
Brezinski, Claude; Rieu, Alain C.
11
1974
Numerical analysis: Historical developments in the 20th century. Zbl 0985.65002
11
2001
Matrix and vector sequence transformations revisited. Zbl 0835.65001
Brezinski, C.; Salam, A.
11
1995
Some vector sequence transformations with applications to systems of equations. Zbl 0794.65002
Brezinski, C.; Sadok, H.
10
1992
Breakdowns in the computation of orthogonal polynomials. Zbl 0812.65008
Brezinski, C.; Redivo-Zaglia, M.
10
1994
Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations. Zbl 0949.65054
Brezinski, C.; Chehab, J.-P.
10
1999
Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm. Zbl 0311.65028
Brezinski, Claude
10
1975
Sur un algorithme de résolution des systèmes non linéaires. (On a method for solving nonlinear systems). Zbl 0228.65044
Brezinski, Claude
10
1971
A subroutine for the general interpolation and extrapolation problems. Zbl 0485.65005
Brezinski, C.
10
1982
Variations on Richardson’s method and acceleration. Zbl 0863.65011
Brezinski, Claude
10
1996
Look-ahead in Bi-CGSTAB and other product methods for linear systems. Zbl 0831.65032
Brezinski, C.; Redivo-Zaglia, M.
10
1995
Vector and matrix sequence transformations based on biorthogonality. Zbl 0865.65001
Brezinski, C.; Redivo Zaglia, M.
10
1996
A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship. Zbl 0714.33006
Brezinski, Claude
10
1990
Convergence acceleration of Kaczmarz’s method. Zbl 1360.65098
Brezinski, Claude; Redivo-Zaglia, Michela
10
2015
Acceleration of extended Fibonacci sequences. Zbl 0612.65002
Brezinski, C.; Lembarki, A.
9
1986
Méthodes d’accélération de la convergence en analyse numérique. Zbl 0296.65002
Brezinski, Claude
9
1971
Bordering methods and progressive forms for sequence transformations. Zbl 0742.65003
Brezinski, C.
9
1990
Continued fractions and Padé approximants. Reprint from Appl. Numer. Math. Zbl 0712.00008
9
1990
Vector sequence transformations: Methodology and applications to linear systems. Zbl 0933.65003
Brezinski, C.
9
1998
Computation of Padé approximants and continued fractions. Zbl 0341.65007
Brezinski, Claude
9
1976
A new approach to convergence acceleration methods. Zbl 0707.40002
Brezinski, Claude
9
1988
Convergence acceleration by extraction of linear subsequences. Zbl 0529.65001
Brezinski, C.; Delahaye, J. P.; Germain-Bonne, B.
9
1983
The asymptotic behavior of sequences and new series transformations based on the Cauchy product. Zbl 0741.65003
Brezinski, Claude
8
1991
Construction of extrapolation processes. Zbl 0739.65001
Brezinski, Claude; Redivo Zaglia, Michela
8
1991
Études sur les \(\epsilon\)-et p-algorithmes. Zbl 0204.48305
Brezinski, C.
8
1971
Padé-type rational and barycentric interpolation. Zbl 1276.65005
Brezinski, Claude; Redivo-Zaglia, Michela
8
2013
Sur le calcul de certains rapports de déterminants. Zbl 0432.41012
Brezinski, Claude
8
1979
The linear convergence of limit periodic continued fractions. Zbl 0662.30003
Brezinski, C.; Lembarki, A.
8
1987
On the kernel of sequence transformations. Zbl 0819.65004
Brezinski, C.; Redivo-Zaglia, M.
7
1994
Successive modifications of limit periodic continued fractions. Zbl 0631.65002
Brezinski, C.
7
1987
A survey of iterative extrapolation by the \(E\)-algorithm. Zbl 0701.65003
Brezinski, Claude
7
1989
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations. Zbl 1506.65003
Brezinski, Claude; Cipolla, Stefano; Redivo-Zaglia, Michela; Saad, Yousef
2
2022
A survey of Shanks’ extrapolation methods and their applications. Zbl 1469.65011
Brezinski, C.; Redivo-Zaglia, M.
1
2021
Extrapolation and rational approximation. The works of the main contributors. Zbl 1477.65006
Brezinski, Claude; Redivo-Zaglia, Michela
7
2020
The genesis and early developments of Aitken’s process, Shanks’ transformation, the \(\varepsilon\)-algorithm, and related fixed point methods. Zbl 1477.65011
Brezinski, Claude; Redivo-Zaglia, Michela
16
2019
Zeros of quadratic quasi-orthogonal order 2 polynomials. Zbl 1507.33008
Brezinski, Claude; Driver, Kathy A.; Redivo-Zaglia, Michela
4
2019
Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations. Zbl 1416.65013
Brezinski, Claude; Redivo-Zaglia, Michela
4
2019
Obituary: Reminiscences of Peter Wynn. Zbl 1405.01032
Brezinski, C.
2
2019
Matrix Shanks transformations. Zbl 1431.65002
Brezinski, Claude; Redivo-Zaglia, Michela
2
2019
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
27
2018
Hirota’s bilinear method, Shanks’ transformation, and the \(\varepsilon\)-algorithms. Zbl 1424.65001
Brezinski, C.; Redivo-Zaglia, M.
2
2018
The simplified topological \(\varepsilon\)-algorithms: software and applications. Zbl 1362.65004
Brezinski, Claude; Redivo-Zaglia, Michela
12
2017
Shanks function transformations in a vector space. Zbl 1372.65003
Brezinski, Claude; Redivo-Zaglia, Michela
2
2017
New representations of Padé, Padé-type, and partial Padé approximants. Zbl 1323.30044
Brezinski, Claude; Redivo-Zaglia, Michela
16
2015
Convergence acceleration of Kaczmarz’s method. Zbl 1360.65098
Brezinski, Claude; Redivo-Zaglia, Michela
10
2015
The simplified topological \(\varepsilon\)-algorithms for accelerating sequences in a vector space. Zbl 1308.65006
Brezinski, Claude; Redivo-Zaglia, Michela
19
2014
André-Louis Cholesky. Mathematician, topographer and army officer. Zbl 1320.01002
Brezinski, Claude; Tournès, Dominique
2
2014
Walter Gautschi, Volume 2. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01006
Gautschi, Walter
1
2014
Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007
Gautschi, Walter
1
2014
Padé-type rational and barycentric interpolation. Zbl 1276.65005
Brezinski, Claude; Redivo-Zaglia, Michela
8
2013
Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations. Zbl 1289.15014
Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena
14
2012
Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. Zbl 1287.65042
Brezinski, Claude; Fika, Paraskevi; Mitrouli, Marilena
13
2012
Multistep \(\varepsilon\)-algorithm, Shanks’ transformation, and the Lotka-Volterra system by Hirota’s method. Zbl 1421.65002
Brezinski, Claude; He, Yi; Hu, Xing-Biao; Redivo-Zaglia, Michela; Sun, Jian-Qing
13
2012
A rational Arnoldi approach for ill-conditioned linear systems. Zbl 1254.65051
Brezinski, C.; Novati, P.; Redivo-Zaglia, M.
4
2012
Confluent form of the multistep \(\varepsilon\)-algorithm, and the relevant integrable system. Zbl 1242.65002
Brezinski, Claude; He, Yi; Hu, Xing-Biao; Sun, Jian-Qing; Tam, Hon-Wah
6
2011
Cross rules and non-Abelian lattice equations for the discrete and confluent non-scalar \(\varepsilon \)-algorithms. Zbl 1192.82048
Brezinski, C.
6
2010
Some pioneers of extrapolation methods. Zbl 1192.65006
Brezinski, Claude
5
2010
From numerical quadrature to Padé approximation. Zbl 1202.41027
Brezinski, C.
4
2010
Extensions of Drummond’s process for convergence acceleration. Zbl 1201.65005
Brezinski, C.; Redivo-Zaglia, M.
4
2010
A generalization of the \(G\)-transformation and the related algorithms. Zbl 1203.65011
Brezinski, Claude; He, Yi; Hu, Xing-Biao; Sun, Jian-Qing
3
2010
Cross rules of some extrapolation algorithms. Zbl 1215.65005
Brezinski, Claude; He, Yi; Hu, Xing-Biao; Sun, Jian-Qing
2
2010
Extended procedures for extrapolation to the limit. Zbl 1200.65001
Brezinski, 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 1166.65331
Brezinski, C.; Rodriguez, G.; Seatzu, S.
40
2009
Error estimates for linear systems with applications to regularization. Zbl 1162.65018
Brezinski, C.; Rodriguez, G.; Seatzu, S.
40
2008
Rational extrapolation for the PageRank vector. Zbl 1195.65046
Brezinski, C.; Redivo-Zaglia, M.
16
2008
Generalizations of aitken’s process for accelerating the convergence of sequences. Zbl 1182.65007
Brezinski, Claude; Zaglia, Michela Redivo
12
2007
Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences. Zbl 1117.15018
Brezinski, C.; Raydan, M.
3
2007
A brief introduction to integrable systems. Zbl 1184.37050
Brezinski, C.
1
2007
The PageRank vector: properties, computation, approximation, and acceleration. Zbl 1116.65042
Brezinski, Claude; Redivo-Zaglia, Michela
23
2006
The life and work of André Cholesky. Zbl 1113.65001
Brezinski, C.
3
2006
Iterative numerical methods. Level M 1. (Méthodes numériques itératives. Niveau M 1.) Zbl 1327.65001
Brezinski, Claude; Redivo-Zaglia, Michela
1
2006
Extrapolation methods for PageRank computations. Zbl 1066.65040
Brezinski, Claude; Redivo-Zaglia, Michela; Serra-Capizzano, Stefano
12
2005
The method of Cholesky. (La méthode de Cholesky.) Zbl 1177.01003
Brezinski, Claude
3
2005
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
52
2004
Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon. Zbl 1071.42003
Brezinski, C.
22
2004
New vector sequence transformations. Zbl 1080.65001
Brezinski, C.; Redivo-Zaglia, M.
3
2004
Model reduction by state space projection. Zbl 1139.93309
Brezinski, C.
2
2004
The multiparameter conjugate gradient algorithm. Zbl 1238.65022
Bantegnies, F.; Brezinski, C.
2
2004
Multi-parameter regularization techniques for ill-conditioned linear systems. Zbl 1024.65036
Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S.
38
2003
A Schur complement approach to a general extrapolation algorithm. Zbl 1027.65001
Brezinski, C.; Zaglia, M. Redivo
23
2003
A classification of quasi-Newton methods. Zbl 1030.65053
Brezinski, C.
16
2003
Comparisons between vector and matrix Padé approximants. Zbl 1362.41002
Brezinski, Claude
2
2003
Computational aspects of linear control. Zbl 1010.93003
Brezinski, Claude
24
2002
Block descent methods and hybrid procedures for linear systems. Zbl 1044.65023
Brezinski, C.
6
2002
A review of formal orthogonality in Lanczos-based methods. Zbl 0996.65031
Brezinski, C.; Redivo Zaglia, M.; Sadok, H.
5
2002
Block projection methods for linear systems. Zbl 0992.65023
Brezinski, C.; Redivo Zaglia, M.
2
2002
Biorthogonal vector sequence transformations and Padé approximation of vector series. Zbl 1001.65001
Brezinski, C.
1
2002
An introduction to formal orthogonality and some of its applications. Zbl 1047.42020
Brezinski, C.
1
2002
Numerical analysis: Historical developments in the 20th century. Zbl 0985.65002
11
2001
Dynamical systems and sequence transformations. Zbl 1001.37092
Brezinski, C.
3
2001
Convergence acceleration during the 20th century. Zbl 0976.65003
Brezinski, C.
52
2000
The block Lanczos and Vorobyev methods. Zbl 0961.65024
Brezinski, Claude
6
2000
The matrix and polynomial approaches to Lanczos-type algorithms. Zbl 0964.65030
Brezinski, 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 0972.65023
Brezinski, C.
2
2000
Difference and differential equations and convergence acceleration algorithms. Zbl 0959.65004
Brezinski, C.
1
2000
Variations on Lanczos’ tridiagonalization process. Zbl 0973.65032
Brezinski, 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
Error estimates for the solution of linear systems. Zbl 0944.65050
Brezinski, C.
22
1999
New look-ahead Lanczos-type algorithms for linear systems. Zbl 0932.65040
Brezinski, C.; Redivo Zaglia, M.; Sadok, H.
13
1999
Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations. Zbl 0949.65054
Brezinski, C.; Chehab, J.-P.
10
1999
Multiparameter descent methods. Zbl 0932.65039
Brezinski, C.
6
1999
Krylov subspace methods, biorthogonal polynomials and Padé-type approximants. Zbl 0936.65034
Brezinski, C.
4
1999
Error estimates in Padé approximation. Zbl 0949.41008
Brezinski, C.
2
1999
Transpose-free look-ahead algorithms for Lanczos’ method. Zbl 0937.65040
Brezinski, Claude; Redivo-Zaglia, Michela
1
1999
Extrapolation techniques for ill-conditioned linear systems. Zbl 0921.65032
Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S.
22
1998
Nonlinear hybrid procedures and fixed point iterations. Zbl 0910.65034
Brezinski, C.; Chehab, J.-P.
16
1998
Vector sequence transformations: Methodology and applications to linear systems. Zbl 0933.65003
Brezinski, C.
9
1998
Transpose-free Lanczos-type algorithms for nonsymmetric linear systems. Zbl 0907.65031
Brezinski, C.; Redivo-Zaglia, M.
6
1998
Hybrid methods for solving systems of equations. Zbl 0898.65017
Brezinski, C.
3
1998
Projection methods for linear systems. Zbl 0867.65009
Brezinski, C.
26
1997
Projection methods for systems of equations. Zbl 0889.65023
Brezinski, Claude
19
1997
Breakdowns in the implementation of the Lánczos method for solving linear systems. Zbl 0871.65025
Brezinski, C.; Redivo-Zaglia, M.; Sadok, H.
6
1997
A transpose-free “Lanczos/Orthodir” algorithm for linear systems. Zbl 0877.65013
Brezinski, Claude
1
1997
On the zeros of various kinds of orthogonal polynomials. Zbl 0885.30005
Brezinski, C.; Redivo-Zaglia, M.
1
1997
Extrapolation algorithms and Padé approximations: A historical survey. Zbl 0854.65001
Brezinski, C.
20
1996
A derivation of extrapolation algorithms based on error estimates. Zbl 0854.65002
Brezinski, Claude; Matos, Ana C.
16
1996
Variations on Richardson’s method and acceleration. Zbl 0863.65011
Brezinski, Claude
10
1996
Vector and matrix sequence transformations based on biorthogonality. Zbl 0865.65001
Brezinski, C.; Redivo Zaglia, M.
10
1996
The methods of Vorobyev and Lanczos. Zbl 0923.65023
Brezinski, C.
4
1996
The algebra of linear functionals on polynomials, with applications to Padé approximation. Zbl 0862.42016
Brezinski, C.; Maroni, P.
4
1996
Acceleration properties of the hybrid procedure for solving linear systems. Zbl 0852.65033
Abkowicz, A.; Brezinski, C.
3
1996
A look-ahead strategy for the implementation of some old and new extrapolation methods. Zbl 0851.65002
Brezinski, C.; Redivo-Zaglia, M.
1
1996
A taste of Padé approximation. Zbl 0827.41010
Brezinski, Claude; Van Iseghem, Jeannette
24
1995
Matrix and vector sequence transformations revisited. Zbl 0835.65001
Brezinski, C.; Salam, A.
11
1995
Look-ahead in Bi-CGSTAB and other product methods for linear systems. Zbl 0831.65032
Brezinski, C.; Redivo-Zaglia, M.
10
1995
Formal orthogonality on an algebraic curve. Zbl 0855.42015
Brezinski, C.
7
1995
Hybrid procedures for solving linear systems. Zbl 0797.65023
Brezinski, C.; Redivo-Zaglia, M.
29
1994
Extrapolation methods. Zbl 0814.65001
Brezinski, C.; Redivo-Zaglia, M.
29
1994
Padé approximations. Zbl 0875.65025
Brezinski, Claude; Van Iseghem, Jeannette
21
1994
...and 108 more Documents
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Cited by 1,442 Authors

95 Brezinski, Claude
53 Reichel, Lothar
46 Redivo-Zaglia, Michela
36 Sadok, Hassane
28 Jbilou, Khalide
23 Sidi, Avram
20 González-Vera, Pablo
20 Prévost, Marc
16 Hu, Xingbiao
14 Cuyt, Annie A. M.
14 Driver, Kathy A.
14 Graves-Morris, Peter R.
14 Jordaan, Kerstin
14 Weniger, Ernst Joachim
13 Bultheel, Adhemar François
13 Gu, Chuanqing
13 He, Yi
13 Marcellán Español, Francisco
13 Matos, Ana Cristina
12 Durán, Antonio José
11 Chang, Xiangke
11 Mühlbach, Günter W.
11 Rodriguez, Giuseppe
10 Draux, André
10 Lubinsky, Doron S.
10 Messaoudi, Abderrahim
9 Homeier, Herbert H. H.
9 Raydan, Marcos
9 Salam, Ahmed
9 Walz, Guido
8 Fika, Paraskevi
8 Mitrouli, Marilena
8 Orive Rodríguez, Ramón Angel
8 Sadaka, Rachid
8 Safouhi, Hassan
8 Wang, Tongke
7 Chehab, Jean-Paul
7 Huang, Ting-Zhu
7 Iserles, Arieh
7 Magnus, Alphonse Ph.
7 Njåstad, Olav
7 Noschese, Silvia
7 Osada, Naoki
7 Serra-Capizzano, Stefano
7 Zhang, Jun
6 Beckermann, Bernhard
6 Benouahmane, Brahim
6 Bentbib, Abdeslem Hafid
6 Chen, Chaoping
6 Le Ferrand, Hervé
6 Lembarki, Alami
6 Morandi Cecchi, Maria
6 Roy, Dhiranjan
6 Stanimirović, Predrag S.
6 Sun, Jianqing
6 Van Barel, Marc
6 Van Iseghem, Jeannette
5 Chen, Xiaomin
5 Díaz-Mendoza, Carlos
5 Doliwa, Adam
5 Donatelli, Marco
5 Fdil, Abdelhaq
5 Gasca, Mariano
5 Grammaticos, Basil
5 Jooste, Alta S.
5 Lima, Pedro Miguel
5 Paszkowski, Stefan
5 Pozza, Stefano
5 Ronveaux, André
5 Sablonnière, Paul
5 Slevinsky, Richard Mikaël
5 Sugiura, Hiroshi
5 Tam, Hon-Wah
5 Toókos, Ferenc
5 Verdonk, Brigitte M.
5 Wen, Chun
5 Xiu, Dongbin
4 Abouir, Jilali
4 Berlinet, Alain F.
4 Bhattacharya, Ranjan
4 Bugeaud, Yann
4 Delahaye, Jean-Paul
4 Dueñas, Herbert
4 Dykes, Laura
4 Ekström, Sven-Erik
4 Gabutti, Bruno
4 Gilewicz, Jacek
4 Gochhayat, Priyabrat
4 Hämarik, Uno
4 Heyouni, Mohammed
4 Huang, Guang-Xin
4 Jiménez Paiz, Mateo M.
4 Jones, William Branham
4 Koepf, Wolfram A.
4 Kuroda, Masahiro
4 Ma, Wentao
4 Muldoon, Martin E.
4 Nørsett, Syvert Paul
4 Nowak, Rafał
4 Palm, Reimo
...and 1,342 more Authors
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Cited in 239 Serials

248 Journal of Computational and Applied Mathematics
186 Numerical Algorithms
113 Applied Numerical Mathematics
42 Journal of Approximation Theory
42 Linear Algebra and its Applications
35 Applied Mathematics and Computation
35 Numerische Mathematik
24 Computer Physics Communications
24 Journal of Computational Physics
22 Journal of Mathematical Analysis and Applications
19 Computers & Mathematics with Applications
19 Mathematics of Computation
14 Calcolo
12 BIT
11 Computational and Applied Mathematics
9 Applied Mathematics Letters
9 SIAM Journal on Scientific Computing
9 Advances in Computational Mathematics
9 Integral Transforms and Special Functions
8 Rocky Mountain Journal of Mathematics
8 Constructive Approximation
8 Journal of Scientific Computing
8 Numerical Linear Algebra with Applications
8 ETNA. Electronic Transactions on Numerical Analysis
8 Journal of Inequalities and Applications
7 Computer Methods in Applied Mechanics and Engineering
7 Mathematics and Computers in Simulation
7 Journal of Applied Mathematics and Computing
6 Numerical Functional Analysis and Optimization
6 The Ramanujan Journal
5 Journal of Mathematical Physics
5 Linear and Multilinear Algebra
5 Physics Letters. A
5 Computing
5 Communications in Statistics. Simulation and Computation
5 Historia Mathematica
5 Computational Statistics and Data Analysis
5 Journal of Physics A: Mathematical and Theoretical
4 Inverse Problems
4 Journal of Number Theory
4 Results in Mathematics
4 SIAM Journal on Numerical Analysis
4 Theoretical Computer Science
4 Statistics & Probability Letters
4 Mathematical and Computer Modelling
4 Computational Mathematics and Mathematical Physics
4 International Journal of Computer Mathematics
4 Computational Optimization and Applications
4 Engineering Analysis with Boundary Elements
4 Mathematical Problems in Engineering
4 Journal of Shanghai University
3 Journal of Fluid Mechanics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Optimization Theory and Applications
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Studies in Applied Mathematics
3 Computer Aided Geometric Design
3 Physica D
3 Journal of Symbolic Computation
3 Japan Journal of Industrial and Applied Mathematics
3 Applications of Mathematics
3 Experimental Mathematics
3 Journal of Inverse and Ill-Posed Problems
3 Optimization Methods & Software
3 Computational Geosciences
3 Archives of Computational Methods in Engineering
3 Journal of Machine Learning Research (JMLR)
3 Computational Methods and Function Theory
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Bulletin of Computational Applied Mathematics
3 SIAM Journal on Mathematics of Data Science
2 Archive for History of Exact Sciences
2 Artificial Intelligence
2 Discrete Applied Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Engineering Mathematics
2 Journal of the Franklin Institute
2 Letters in Mathematical Physics
2 Nuclear Physics. B
2 Annales de l’Institut Fourier
2 International Journal for Numerical Methods in Engineering
2 Proceedings of the American Mathematical Society
2 Quaestiones Mathematicae
2 RAIRO. Analyse Numérique
2 Advances in Applied Mathematics
2 Circuits, Systems, and Signal Processing
2 Acta Applicandae Mathematicae
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 SIAM Journal on Matrix Analysis and Applications
2 European Journal of Applied Mathematics
2 Annals of Physics
2 Applied Mathematical Modelling
2 European Journal of Operational Research
2 SIAM Review
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 SIAM Journal on Optimization
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Applicationes Mathematicae
...and 139 more Serials
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Cited in 51 Fields

872 Numerical analysis (65-XX)
278 Approximations and expansions (41-XX)
159 Special functions (33-XX)
147 Harmonic analysis on Euclidean spaces (42-XX)
113 Linear and multilinear algebra; matrix theory (15-XX)
86 Sequences, series, summability (40-XX)
77 Functions of a complex variable (30-XX)
65 Computer science (68-XX)
61 Number theory (11-XX)
59 Partial differential equations (35-XX)
46 Operations research, mathematical programming (90-XX)
42 Statistics (62-XX)
39 Ordinary differential equations (34-XX)
34 Operator theory (47-XX)
33 Integral equations (45-XX)
31 Quantum theory (81-XX)
30 Dynamical systems and ergodic theory (37-XX)
25 Fluid mechanics (76-XX)
22 Real functions (26-XX)
21 Combinatorics (05-XX)
21 Integral transforms, operational calculus (44-XX)
20 History and biography (01-XX)
19 Difference and functional equations (39-XX)
19 Systems theory; control (93-XX)
18 Probability theory and stochastic processes (60-XX)
18 Mechanics of deformable solids (74-XX)
14 Information and communication theory, circuits (94-XX)
11 Statistical mechanics, structure of matter (82-XX)
11 Biology and other natural sciences (92-XX)
10 Mechanics of particles and systems (70-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Geophysics (86-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Functional analysis (46-XX)
6 Optics, electromagnetic theory (78-XX)
4 Field theory and polynomials (12-XX)
4 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
2 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Relativity and gravitational theory (83-XX)

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