
Indefinite Linear Algebra and Applications 2005th Edition
Author(s): Israel Gohberg (Author), Peter Lancaster (Author), Leiba Rodman (Author)
- Publisher: Birkhäuser
- Publication Date: October 18, 2005
- Edition: 2005th
- Language: English
- Print length: 369 pages
- ISBN-10: 3764373490
- ISBN-13: 9783764373498
Book Description
This graduate text provides a careful treatment of the theory and applications of matrices in the presence of an indefinite inner product. The theory is a natural extension of the classical theory of hermitian and unitary matrices in linear algebra. Applications of the theory to differential equations, difference equations and systems theory are included. It is widely useful for engineers, scientists and mathematicians alike.
Editorial Reviews
Review
This is a splendidly written book, one of a number by three of the world’s leading linear algebraists, that collects many results on indefinite linear algebra from the literature and puts them all in a single place. The book is based in part on a 1983 book titled Matrices and Indefinite Scalar Products by the same authors and publisher but includes many contemporary results from the journal literature and elsewhere. In fact, the ends of many of the chapters provide a guide to sources where further materials are to be found. There are some excellent exercises collected at the end of each chapter making the book ideal as a graduate-level textbook.
(SIAM Review)
“The reviewer is convinced that the present book will be welcome by all readers interested in applications of indefinite linear algebra in matrix polynomials, differential equations and difference equations with constant coefficients.” Mircea Crâsmareanu, Analele Stiintifice
From the Back Cover
This book has the structure of a graduate text in which chapters of advanced linear algebra form the core. This together with the many significant applications and accessible style will make it widely useful for engineers, scientists and mathematicians alike.
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