×

Chatelin, Francoise E.

Author ID: chatelin.francoise-e Recent zbMATH articles by "Chatelin, Francoise E."
Published as: Chatelin, Françoise; Chatelin, Francoise; Chatelin, F.; Chatelin, Francoise E.
External Links: MGP
Documents Indexed: 47 Publications since 1972, including 8 Books
Reviewing Activity: 14 Reviews
Co-Authors: 20 Co-Authors with 26 Joint Publications
162 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 645 times in 567 Documents Cited by Year
Spectral approximation of linear operators. Zbl 0517.65036
Chatelin, Francoise
295
1983
Spectral approximation of linear operators. Reprint of the 1983 original published by Academic Press. Zbl 1214.01004
Chatelin, Françoise
52
2011
Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Zbl 0783.65031
Chatelin, Françoise
47
1993
Valeurs propres de matrices. (Matrix eigenvalues). Zbl 0691.65018
Chatelin, Françoise
42
1988
The spectral approximation of linear operators with applications to the computation of eigenelements of differential and integral operators. Zbl 0472.65048
Chatelin, Francoise
40
1981
Acceleration by aggregation of successive approximation methods. Zbl 0485.65023
Chatelin, Francoise; Miranker, Willard L.
24
1982
Superconvergence results for the iterated projection method applied to a Fredholm integral equation of the second kind and the corresponding eigenvalue problem. Zbl 0528.65074
Chatelin, Francoise; Lebbar, Rachid
20
1984
The iterated projection solution for the Fredholm integral equation of second kind. Zbl 0472.65093
Chatelin, Francoise; Lebbar, Rachid
15
1981
Convergence of approximation methods to compute eigenelements of linear operators. Zbl 0266.65048
Chatelin, Francoise
14
1973
Simultaneous Newton’s iteration for the eigenproblem. Zbl 0555.65023
Chatelin, Françoise
14
1984
La méthode de Rayleigh Ritz appliquee à des opérateurs différentiels elliptiques - ordre de convergence des éléments propres. Zbl 0295.65060
Chatelin, F.; Lemordant, M. J.
10
1975
The use of defect correction to refine the eigenelements of compact integral operators. Zbl 0528.65073
Ahues, Mario; Chatelin, Francoise
8
1983
Error bounds in the approximation of eigenvalues of differential and integral operators. Zbl 0391.65023
Chatelin, Francoise; Lemordant, Jacques
8
1978
Arnoldi-Tchebychev procedure for large scale nonsymmetric matrices. Zbl 0695.65020
Ho, Diem; Chatelin, Françoise; Bennani, Maria
7
1990
Numerical computation of the eigenelements of linear integral operators by iterations. Zbl 0401.65080
Chatelin, Francoise E.
6
1978
Ill conditioned eigenproblems. Zbl 0605.65029
Chatelin, Francoise
5
1986
CESTAC, a tool for a stochastic round-off error analysis in scientific computing. Zbl 1185.65242
Brunet, Marie-Christine; Chatelin, Françoise
4
1986
Qualitative computing. A computational journey into nonlinearity. Zbl 1251.03001
Chatelin, Françoise
3
2012
Approximation du spectre d’un opérateur linéaire; application aux opérateurs différentiels elliptiques non autoadjoints. Zbl 0268.65070
Chatelin, F.
3
1973
La méthode de Galerkin. Ordre de convergence des éléments propres. Zbl 0286.65049
Chatelin, Francoise
3
1974
Iterative refinement techniques for the eigenvalue problem of compact integral operators. Zbl 0502.65077
Ahues, Mario; de Almeida, Filomena; Chatelin, Francoise; Telias, Mauricio
3
1982
A probabilistic round-off error propagation model. Application to the eigenvalue problem. Zbl 0719.65038
Chatelin, Françoise; Brunet, Marie Christine
3
1990
Aggregation/disaggregation for eigenvalue problems. Zbl 0574.65029
Chatelin, Françoise; Miranker, Willard L.
3
1984
Highly nonnormal eigenproblems in the aeronautical industry. Zbl 0827.73078
Braconnier, T.; Chatelin, F.; Dunyach, J. C.
3
1995
The influence of nonnormality on matrix computations. Zbl 0789.65014
Chatelin, Françoise
2
1993
About the qualitative computation of Jordan forms. Zbl 0803.65046
Chatelin, F.; Braconnier, Th.
2
1994
Numerical information processing under the global rule expressed by the Euler-Riemann \(\zeta\) function defined in the complex plane. Zbl 1311.11090
Chatelin, Françoise
1
2010
Sur la convergence de l’algorithme QR pour une matrice hermitienne. Zbl 0259.65044
Chatelin, F.
1
1973
Sur les bornes d’erreur à posteriori pour les éléments propres d’opérateurs linéaires. Zbl 0461.65043
Chatelin, Francoise
1
1979
Exercises de valeurs propres de matrices, avec solutions. (Exercises to matrix eigenvalues, with solutions). Zbl 0691.65019
Ahués, Mario; Chatelin, Françoise
1
1989
Numerical analysis for factorial data analysis. II: Special purpose hardware - the programmable systolic array SARDA. Zbl 0636.62055
Chatelin, F.; Porta, T.
1
1987
De l’utilization en calcul matriciel de modèles probabilistes pour la simulation des erreurs de calcul. (On the use of probabilistic models for the simulation of round-off errors in matrix computations). Zbl 0657.65059
Bennani, Maria; Brunet, Marie-Christine; Chatelin, Françoise
1
1988
Computing a set of eigenvalues. Zbl 0605.65030
Chatelin, F.; Ahués, M.; Telias, M.
1
1986
A computational journey into the mind. Zbl 1251.30054
Chatelin, Françoise
1
2012
Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Revised ed. Zbl 1254.65047
Chatelin, Françoise
1
2013
Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Revised ed. Zbl 1254.65047
Chatelin, Françoise
1
2013
Qualitative computing. A computational journey into nonlinearity. Zbl 1251.03001
Chatelin, Françoise
3
2012
A computational journey into the mind. Zbl 1251.30054
Chatelin, Françoise
1
2012
Spectral approximation of linear operators. Reprint of the 1983 original published by Academic Press. Zbl 1214.01004
Chatelin, Françoise
52
2011
Numerical information processing under the global rule expressed by the Euler-Riemann \(\zeta\) function defined in the complex plane. Zbl 1311.11090
Chatelin, Françoise
1
2010
Highly nonnormal eigenproblems in the aeronautical industry. Zbl 0827.73078
Braconnier, T.; Chatelin, F.; Dunyach, J. C.
3
1995
About the qualitative computation of Jordan forms. Zbl 0803.65046
Chatelin, F.; Braconnier, Th.
2
1994
Eigenvalues of matrices. With exercises by Mario Ahués and Françoise Chatelin. Translated from the French with additional material by Walter Ledermann. Zbl 0783.65031
Chatelin, Françoise
47
1993
The influence of nonnormality on matrix computations. Zbl 0789.65014
Chatelin, Françoise
2
1993
Arnoldi-Tchebychev procedure for large scale nonsymmetric matrices. Zbl 0695.65020
Ho, Diem; Chatelin, Françoise; Bennani, Maria
7
1990
A probabilistic round-off error propagation model. Application to the eigenvalue problem. Zbl 0719.65038
Chatelin, Françoise; Brunet, Marie Christine
3
1990
Exercises de valeurs propres de matrices, avec solutions. (Exercises to matrix eigenvalues, with solutions). Zbl 0691.65019
Ahués, Mario; Chatelin, Françoise
1
1989
Valeurs propres de matrices. (Matrix eigenvalues). Zbl 0691.65018
Chatelin, Françoise
42
1988
De l’utilization en calcul matriciel de modèles probabilistes pour la simulation des erreurs de calcul. (On the use of probabilistic models for the simulation of round-off errors in matrix computations). Zbl 0657.65059
Bennani, Maria; Brunet, Marie-Christine; Chatelin, Françoise
1
1988
Numerical analysis for factorial data analysis. II: Special purpose hardware - the programmable systolic array SARDA. Zbl 0636.62055
Chatelin, F.; Porta, T.
1
1987
Ill conditioned eigenproblems. Zbl 0605.65029
Chatelin, Francoise
5
1986
CESTAC, a tool for a stochastic round-off error analysis in scientific computing. Zbl 1185.65242
Brunet, Marie-Christine; Chatelin, Françoise
4
1986
Computing a set of eigenvalues. Zbl 0605.65030
Chatelin, F.; Ahués, M.; Telias, M.
1
1986
Superconvergence results for the iterated projection method applied to a Fredholm integral equation of the second kind and the corresponding eigenvalue problem. Zbl 0528.65074
Chatelin, Francoise; Lebbar, Rachid
20
1984
Simultaneous Newton’s iteration for the eigenproblem. Zbl 0555.65023
Chatelin, Françoise
14
1984
Aggregation/disaggregation for eigenvalue problems. Zbl 0574.65029
Chatelin, Françoise; Miranker, Willard L.
3
1984
Spectral approximation of linear operators. Zbl 0517.65036
Chatelin, Francoise
295
1983
The use of defect correction to refine the eigenelements of compact integral operators. Zbl 0528.65073
Ahues, Mario; Chatelin, Francoise
8
1983
Acceleration by aggregation of successive approximation methods. Zbl 0485.65023
Chatelin, Francoise; Miranker, Willard L.
24
1982
Iterative refinement techniques for the eigenvalue problem of compact integral operators. Zbl 0502.65077
Ahues, Mario; de Almeida, Filomena; Chatelin, Francoise; Telias, Mauricio
3
1982
The spectral approximation of linear operators with applications to the computation of eigenelements of differential and integral operators. Zbl 0472.65048
Chatelin, Francoise
40
1981
The iterated projection solution for the Fredholm integral equation of second kind. Zbl 0472.65093
Chatelin, Francoise; Lebbar, Rachid
15
1981
Sur les bornes d’erreur à posteriori pour les éléments propres d’opérateurs linéaires. Zbl 0461.65043
Chatelin, Francoise
1
1979
Error bounds in the approximation of eigenvalues of differential and integral operators. Zbl 0391.65023
Chatelin, Francoise; Lemordant, Jacques
8
1978
Numerical computation of the eigenelements of linear integral operators by iterations. Zbl 0401.65080
Chatelin, Francoise E.
6
1978
La méthode de Rayleigh Ritz appliquee à des opérateurs différentiels elliptiques - ordre de convergence des éléments propres. Zbl 0295.65060
Chatelin, F.; Lemordant, M. J.
10
1975
La méthode de Galerkin. Ordre de convergence des éléments propres. Zbl 0286.65049
Chatelin, Francoise
3
1974
Convergence of approximation methods to compute eigenelements of linear operators. Zbl 0266.65048
Chatelin, Francoise
14
1973
Approximation du spectre d’un opérateur linéaire; application aux opérateurs différentiels elliptiques non autoadjoints. Zbl 0268.65070
Chatelin, F.
3
1973
Sur la convergence de l’algorithme QR pour une matrice hermitienne. Zbl 0259.65044
Chatelin, F.
1
1973
all top 5

Cited by 703 Authors

26 Yang, Yidu
25 Nelakanti, Gnaneshwar
22 Xie, Hehu
17 Bi, Hai
16 Ahues, Mario Paul
15 Allouch, Chafik
13 Kulkarni, Rekha P.
13 Tahrichi, Mohamed
12 Han, Jiayu
12 Panigrahi, Bijaya Laxmi
12 Zhang, Zhimin
11 Sbibih, Driss
11 Xu, Fei
10 Chatelin, Francoise E.
8 Long, Guangqing
8 Mandal, Moumita
7 Breda, Dimitri
7 Huang, Qiumei
7 Largillier, Alain
7 Limaye, Balmohan Vishnu
7 Lin, Qun
7 Simoncini, Valeria
7 Zhang, Yu
6 Chen, Hongtao
6 Kuniya, Toshikazu
5 Braconnier, Thierry
5 Chaitin-Chatelin, Françoise
5 Chakraborty, Samiran
5 D’Almeida, Filomena D.
5 Mandel, Jan
5 Vasconcelos, Paulo Beleza
5 Zhou, Aihui
4 Alam, Rafikul
4 Banerjee, Uday
4 Cardot, Hervé
4 Giannakis, Dimitrios
4 Higham, Nicholas J.
4 Huang, Jin
4 Kant, Kapil
4 Li, Zi-Cai
4 Liessi, Davide
4 Ma, Hongkun
4 Rane, Akshay S.
4 Strauss, Michael A.
4 Wei, Yimin
4 Zhang, Qimin
3 Bauer, Dietmar
3 Boffi, Daniele
3 Boulton, Lyonell
3 Chen, Shuangshuang
3 Demiralp, Metin
3 Frayssé, Valérie
3 Gedicke, Joscha
3 Gnaneshwar, Nelakanti
3 Gracia, Juan-Miguel
3 Grammont, Laurence
3 Guo, Hailong
3 Heuveline, Vincent
3 Huang, Hung-Tsai
3 Huang, Qihua
3 Jia, Shanghui
3 Lledó, Fernando
3 Luo, Fusheng
3 Ma, Wanbiao
3 Rakshit, Gobinda
3 Sakurai, Tetsuya
3 Sarda, Pascal
3 Slawinska, Joanna
3 Stoltz, Gabriel
3 Strakoš, Zdeněk
3 Telias, Mauricio
3 Velasco, Francisco-Enrique
3 Wang, Jinliang
3 Wang, Wei
3 Xie, ManTing
2 Allaire, Grégoire
2 Andò, Alessia
2 Arrai, Mohamed
2 Bal, Guillaume
2 Bandtlow, Oscar F.
2 Benzaken, Joseph
2 Bouda, Hamza
2 Brenner, Susanne Cecelia
2 Brezinski, Claude
2 Buchholz, Peter
2 Cancès, Eric
2 Carstensen, Carsten
2 Chekroun, Abdennasser
2 Chen, Zhongying
2 Chorowski, Jakub
2 Christiansen, Snorre Harald
2 Dai, Xiaoying
2 Dang, Haikun
2 Dauxois, Jacques
2 De Sterck, Hans
2 Dias d’Almeida, Filomena
2 Ding, Jiu
2 Djordjević, Slaviša V.
2 Emad, Nahid
2 Fan, Hung-Yuan
...and 603 more Authors
all top 5

Cited in 173 Serials

36 Linear Algebra and its Applications
28 Applied Mathematics and Computation
28 Numerische Mathematik
27 Journal of Computational and Applied Mathematics
23 Numerical Functional Analysis and Optimization
17 BIT
17 Applied Numerical Mathematics
16 Journal of Scientific Computing
13 Numerical Algorithms
12 SIAM Journal on Scientific Computing
10 Journal of Mathematical Analysis and Applications
10 SIAM Journal on Numerical Analysis
10 Journal of Integral Equations and Applications
9 Computer Methods in Applied Mechanics and Engineering
9 Mathematics of Computation
8 Applied Mathematics Letters
7 Journal of Computational Physics
7 Mathematics and Computers in Simulation
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Advances in Computational Mathematics
6 Computers & Mathematics with Applications
6 International Journal of Computer Mathematics
6 Science China. Mathematics
5 Automatica
5 Computing
5 Integral Equations and Operator Theory
5 Numerical Linear Algebra with Applications
4 Mathematical Methods in the Applied Sciences
4 RAIRO. Analyse Numérique
4 SIAM Review
4 Abstract and Applied Analysis
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Applied Mathematics and Computing
4 Communications in Computational Physics
3 Calcolo
3 Journal of Approximation Theory
3 Journal of Multivariate Analysis
3 Acta Mathematicae Applicatae Sinica. English Series
3 SIAM Journal on Matrix Analysis and Applications
3 Science in China. Series A
3 Japan Journal of Industrial and Applied Mathematics
3 Journal of Dynamics and Differential Equations
3 Computational and Applied Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Discrete Applied Mathematics
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Bulletin of Mathematical Biology
2 The Annals of Statistics
2 Journal of Functional Analysis
2 Journal of Optimization Theory and Applications
2 Journal of Soviet Mathematics
2 Mathematische Zeitschrift
2 Systems & Control Letters
2 Numerical Methods for Partial Differential Equations
2 Pattern Recognition
2 SIAM Journal on Applied Mathematics
2 Computational Statistics and Data Analysis
2 The Journal of Analysis
2 Applied and Computational Harmonic Analysis
2 Engineering Analysis with Boundary Elements
2 Bernoulli
2 Journal of Mathematical Chemistry
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Lobachevskii Journal of Mathematics
2 Computational Methods in Applied Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Multiscale Modeling & Simulation
2 International Journal of Numerical Analysis and Modeling
2 Complex Analysis and Operator Theory
2 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal of Applied and Computational Mathematics
1 Bulletin of the Australian Mathematical Society
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Physics Reports
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Theoretical and Computational Fluid Dynamics
1 Advances in Mathematics
1 The Annals of Probability
1 Archiv der Mathematik
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Econometrics
1 Journal of Statistical Planning and Inference
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Ricerche di Matematica
1 Theoretical Computer Science
1 Tôhoku Mathematical Journal. Second Series
...and 73 more Serials
all top 5

Cited in 39 Fields

404 Numerical analysis (65-XX)
116 Partial differential equations (35-XX)
103 Operator theory (47-XX)
100 Integral equations (45-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
30 Biology and other natural sciences (92-XX)
27 Statistics (62-XX)
23 Ordinary differential equations (34-XX)
22 Fluid mechanics (76-XX)
22 Systems theory; control (93-XX)
21 Probability theory and stochastic processes (60-XX)
19 Mechanics of deformable solids (74-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 Quantum theory (81-XX)
13 Statistical mechanics, structure of matter (82-XX)
10 Computer science (68-XX)
10 Optics, electromagnetic theory (78-XX)
9 Approximations and expansions (41-XX)
9 Functional analysis (46-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Operations research, mathematical programming (90-XX)
5 Combinatorics (05-XX)
5 Potential theory (31-XX)
5 Information and communication theory, circuits (94-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Abstract harmonic analysis (43-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Real functions (26-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year