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

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

• 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.

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

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

• 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.