Table of Contents

• List of Figures
• List of Tables
• Preface
• Chapter 1: Theory of Matrix Functions
• Chapter 2: Applications
• Chapter 3: Conditioning
• Chapter 4: Techniques for General Functions
• Chapter 5: Matrix Sign Function
• Chapter 6: Matrix Square Root
• Chapter 7: Matrix pth Root
• Chapter 8: The Polar Decomposition
• Chapter 9: Schur-Parlett Algorithm
• Chapter 10: Matrix Exponential
• Chapter 11: Matrix Logarithm
• Chapter 12: Matrix Cosine and Sine
• Chapter 13: Function of Matrix Times Vector: f(A)b
• Chapter 14: Miscellany
• Appendix A: Notation
• Appendix B: Background: Definitions and Useful Facts
• Appendix C: Operation Counts
• Appendix D: Matrix Function Toolbox
• Appendix E: Solutions to Problems
• Bibliography
• Index.

Promotional Information

A thorough treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications.

About the Author

Nicholas J. Higham, FRS, is Richardson Professor of Applied Mathematics at the University of Manchester,UK.

Reviews

This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field.""- Alan Laub, Professor, University of California, Los Angeles