Matrix Polynomials
£73.00
Part of Classics in Applied Mathematics
 Authors:
 I. Gohberg, TelAviv University
 P. Lancaster, University of Calgary
 L. Rodman, College of William and Mary, Virginia
 Date Published: July 2009
 availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
 format: Paperback
 isbn: 9780898716818
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This book is the definitive 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. It has applications in many areas, such as differential equations, systems theory, the Wiener–Hopf technique, mechanics and vibrations, and numerical analysis. Although there have been significant advances in some quarters, this work remains the only systematic development of the theory of matrix polynomials. The book is appropriate for students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis. Its contents are accessible to readers who have had undergraduatelevel courses in linear algebra and complex analysis.
Read more A true classic, this is the only systematic development of the theory of matrix polynomials; nothing has come close for 20 years
 Includes applications to differential and difference equations
 Written for a wide audience of student and practising engineers, scientists, and mathematicians
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×Product details
 Date Published: July 2009
 format: Paperback
 isbn: 9780898716818
 length: 184 pages
 dimensions: 228 x 152 x 22 mm
 weight: 0.59kg
 availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface to the Classics Edition
Preface
Errata
Introduction
Part I. Monic Matrix Polynomials:
1. Linearization and standard pairs
2. Representation of monic matrix polynomials
3. Multiplication and divisibility
4. Spectral divisors and canonical factorization
5. Perturbation and stability of divisors
6. Extension problems
Part II. Nonmonic Matrix Polynomials:
7. Spectral properties and representations
8. Applications to differential and difference equations
9. Least common multiples and greatest common divisors of matrix polynomials
Part III. SelfAdjoint Matrix Polynomials:
10. General theory
11. Factorization of selfadjoint matrix polynomials
12. Further analysis of the sign characteristic
13: Quadratic selfadjoint polynomials
Part IV. Supplementary Chapters in Linear Algebra: S1. The Smith form and related problems
S2. The matrix equation AX – XB = C
S3. Onesided and generalized inverses
S4. Stable invariant subspaces
S5. Indefinite scalar product spaces
S6. Analytic matrix functions
References
List of notation and conventions
Index.
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