Selection of books

• Spectral approximation of linear operators, Françoise CHATELIN, Academic Press,1983.
• Valeurs propres de matrices, Françoise CHATELIN, MASSON,1988.
• Exercices de valeurs propres de matrices, Françoise CHATELIN and Mario AHUES, MASSON,1989.
• Eigenvalues of matrices, Françoise CHATELIN, Wiley,1993.

Note : Augemnted English translation of "Valeurs propres de matrices".
• Japanese translation of "Valeurs propres de matrices", Springer Verlag,1993.
• Lectures notes on Finite Precision Computations, Françoise CHAITIN-CHATELIN and Valerie FRAYSSE, SIAM,1996.

Spectral approximation of linear operators Françoise CHATELIN Academic Press,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
• Appendix. Discrete Approximation Theory
• References
• Solutions to Exercices

Valeurs propres de matrices Françoise CHATELIN MASSON,1988

Exercices de valeurs propres de matrices Françoise CHATELIN and Mario AHUES MASSON,1989

Eigenvalues of matrices Françoise CHATELIN Wiley,1993

Contents

• Chapter 1 Supplements from Linear Algebra
• Chapter 2 Elements of Spectral Theory
• Chapter 3 Why Compute Eigenvalues?
• Chapter 4 Error Analysis
• Chapter 5 Foundations of Methods for Computing Eigenvalues
• Chapter 6 Numerical Methods for Large Matrices
• Chapter 7 Chebyshev's Iterative Methods
• Appendices
• A- Solution to Exercices
• B- References for Exercices
• C- References

Japanese translation of  "Eigenvalues of matrices" Springer Verlag,1993

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
• Annex : the toolbox PRECISE for MATLAB
• Index
• Bibliography

More details about this book? Access the :

• preface,
• general presentation,
• table of contents,
• bibliography.