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Functions of Matrices Theory and Computation 1st Edition by Nicholas J Higham ISBN 0898717779 9780898717778

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Functions of Matrices Nicholas J. Higham Digital Instant Download

Author(s): Nicholas J. Higham
ISBN(s): 9780898716467, 0898716462
Edition: Kindle
File Details: PDF, 4.18 MB
Year: 2008
Language: english
SKU: EB-1966182 Category: Tag:

Functions of Matrices Theory and Computation 1st Edition by Nicholas J. Higham – Ebook PDF Instant Download/Delivery: 0898717779, 9780898717778

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Product details:

ISBN 10: 0898717779

ISBN 13: 9780898717778 

Author: Nicholas J. Higham

A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fr chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB? implementations of key algorithms.

Table of contents:

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

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Tags: Nicholas J Higham, Functions, Matrices, Theory, Computation