Selection of books


 Spectral Approximation of Linear Operators
F. Chatelin

 
 
English original
Academic Press, New York, 1983

Chinese translation
Tianjin University Press, 1987











 
Valeurs Propres de Matrices
F. Chatelin

 
French
Masson, Paris, 1988

English
Wiley, Chichester, 1993

Japanese 
Springer Verlag, Tokyo, 1993

 

 
Exercices de valeurs propres 
M. Ahuès et F. Chatelin

Masson, Paris, 1989

Problem solving environments for scientific computing
Edited by B. Ford and F. Chatelin

North Holland, Amsterdam, 1987


 
 
Lectures on finite precision Computations
F. Chaitin-Chatelin and V. Frayssé

SIAM, Philadelphia, 1996


 
 


Table of Contents


 
 
 

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Spectral approximation 
of  linear operators

Françoise CHATELIN

Academic Press, New York,1983

Contents

  1. The Matrix Eigenvalue Problem
  2. Elements of Functional Analysis : Basic Concepts
  3. Elements of Functional Analysis : Convergence and Perturbation Theory
  4. Numerical Approximation Methods for Integral and Differential Operators
  5. Spectral Approximation of a Closed Linear Operator
  6. Error Bounds and Localization Results for the Eigenelements
  7. Some Examples of Applications

    8. Appendix. Discrete Approximation Theory
    References
    Solutions to Exercices
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Prix IBM 1988 de la 
meilleure publication scientifique

Valeurs propres de matrices

Françoise CHATELIN

Masson,1988
Contents
     

    Notations
    Introduction

  1. Compléments d'algèbre linéaire
  2. Eléments de théorie spectral
  3. Pourquoi calculer des valeurs propres ?
  4. Analyse d'erreur
  5. Fondements des méthodes de calcul de valeurs propres
  6. Méthodes numériques pour matrices de grande taille
  7. Méthodes d'itérations de Tchebycheff

    8. Annexe : Logiciels numériques
    Bibliographie
    Index
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Exercices de valeurs 
propres de matrices

Françoise CHATELIN 
et
Mario AHUES

Masson,1989
Contents
     

    Avant-propos

  1. Compléments d'algèbre linéaire
  2. Eléments de théorie spectrale
  3. Pourquoi calculer des valeurs propres ?
  4. Analyse d'erreur
  5. Fondements des méthodes de calcul de valeurs propres
  6. Méthodes numériques pour matrices de grande taille
  7. Méthodes d'itérations de Tchebycheff

    8. Annexe A : Solutions d'exercices
    Annexe B : Bibliographie
    Index
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Eigenvalues of matrices

Françoise CHATELIN

Wiley,1993

Contents

 
 
 

  1. Supplements from Linear Algebra
  2. Elements of Spectral Theory
  3. Chapter 3 Why Compute Eigenvalues?
  4. Chapter 4 Error Analysis
  5. Chapter 5 Foundations of Methods for Computing Eigenvalues
  6. Chapter 6 Numerical Methods for Large Matrices
  7. Chapter 7 Chebyshev's Iterative Methods
  8. Appendices

    9. A- Solution to Exercices
    B- References for Exercices
    C- References
 

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Lectures on Finite Precision Computations

Françoise CHAITIN-CHATELIN 
and Valerie FRAYSSE

SIAM,1996
 
 

Contents

    Foreword by Iain S. Duff
    Preface
    General Presentation
    Notations
  1. Computability in finite precision
  2. Measures of stability for regular problems
  3. Computation in the neighbourhood of a singularity
  4. Arithmetic quality of reliable algorithms
  5. Numerical stability in finite precision
  6. Software tools for round-off error analysis in algorithms
  7. The toolbox PRECISE for computer experimentation
  8. Experiments with PRECISE
  9. Robustness to nonnormality
  10. Qualitative Computing
  11. More numerical illustrations with PRECISE

    12. Annex : the toolbox PRECISE for MATLAB
    Index
    Bibliography

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