Matrix Polynomials
Published on 23. July 2009
Book
Paperback/Softback
184 pages
978-0-89871-681-8 (ISBN)
Description
Provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree.
More details
Edition
Siam Classics edition
Language
English
Place of publication
Philadelphia
United States
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 247 mm
Width: 170 mm
Thickness: 22 mm
Weight
590 gr
ISBN-13
978-0-89871-681-8 (9780898716818)
Schweitzer Classification
Persons
I. Gohberg is Professor Emeritus of Tel-Aviv University and Free University of Amsterdam and Doctor Honoris Causa of several European universities. He has contributed to the fields of functional analysis and operator theory, integral equations and systems theory, matrix analysis and linear algebra, and computational techniques for structured integral equations and structured matrices. He has coauthored 25 books in different areas of pure and applied mathematics.
Content
- Preface to the Classics Edition
- Preface
- Errata
- Introduction
- Part I: Monic Matrix Polynomials: Chapter 1: Linearization and Standard Pairs
- Chapter 2: Representation of Monic Matrix Polynomials
- Chapter 3: Multiplication and Divisability
- Chapter 4: Spectral Divisors and Canonical Factorization
- Chapter 5: Perturbation and Stability of Divisors
- Chapter 6: Extension Problems
- Part II: Nonmonic Matrix Polynomials: Chapter 7: Spectral Properties and Representations
- Chapter 8: Applications to Differential and Difference Equations
- Chapter 9: Least Common Multiples and Greatest Common Divisors of Matrix Polynomials
- Part III: Self-Adjoint Matrix Polynomials: Chapter 10: General Theory
- Chapter 11: Factorization of Self-Adjoint Matrix Polynomials
- Chapter 12: Further Analysis of the Sign Characteristic
- Chapter 13: Quadratic Self-Adjoint Polynomials
- Part IV: Supplementary Chapters in Linear Algebra: Chapter S1: The Smith Form and Related Problems
- Chapter S2: The Matrix Equation AX – XB = C
- Chapter S3: One-Sided and Generalized Inverses
- Chapter S4: Stable Invariant Subspaces
- Chapter S5: Indefinite Scalar Product Spaces
- Chapter S6: Analytic Matrix Functions
- References
- List of Notation and Conventions
- Index