# Matrix Polynomials (Classics in Applied Mathematics)

## I. Gohberg; P. Lancaster; L. Rodman

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This book 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. 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.

Audience: 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 undergraduate-level courses in linear algebra and complex analysis.

Contents: 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

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Book Description:

This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. It is appropriate for students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis.

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.

P. Lancaster is Professor Emeritus and Faculty Professor in the Department of Mathematics and Statistics at the University of Calgary. His research interests are mainly in matrix analysis and linear algebra as applied to vibrating systems, systems and control theory, and numerical analysis. He has published prolifically in the form of monographs, texts, and journal publications.

L. Rodman is Professor of Mathematics at the College of William and Mary. He has done extensive work in matrix analysis, operator theory, and related fields. He has authored one book, co-authored six others, and served as a co-editor of several volumes.

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## 1.Matrix Polynomials (Paperback)

Editorial: Society for Industrial Applied Mathematics,U.S., United States (2009)
ISBN 10: 0898716810 ISBN 13: 9780898716818
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2009. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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 undergraduate-level courses in linear algebra and complex analysis. Nº de ref. de la librería AAN9780898716818

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## 2.Matrix Polynomials

Editorial: Society for Industrial and Applied Mathematics (2009)
ISBN 10: 0898716810 ISBN 13: 9780898716818
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Descripción Society for Industrial and Applied Mathematics, 2009. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780898716818

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## 3.Matrix Polynomials (Classics in Applied Mathematics)

Editorial: Society for Industrial and App (2009)
ISBN 10: 0898716810 ISBN 13: 9780898716818
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Descripción Society for Industrial and App, 2009. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110898716810

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## 4.Matrix Polynomials (Paperback)

Editorial: Society for Industrial Applied Mathematics,U.S., United States (2009)
ISBN 10: 0898716810 ISBN 13: 9780898716818
Nuevos Paperback Cantidad: 10
Librería
The Book Depository US
(London, Reino Unido)
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2009. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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 undergraduate-level courses in linear algebra and complex analysis. Nº de ref. de la librería AAN9780898716818

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## 5.Matrix Polynomials

Editorial: Soc Industrial Applied Maths (2009)
ISBN 10: 0898716810 ISBN 13: 9780898716818
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Descripción Soc Industrial Applied Maths, 2009. Paperback. Estado de conservación: NEW. 9780898716818 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0484205

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## 6.Matrix Polynomials

Editorial: Cambridge University Press (2009)
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Descripción Cambridge University Press, 2009. Paperback. Estado de conservación: Brand New. 409 pages. 8.70x6.00x0.90 inches. In Stock. Nº de ref. de la librería __0898716810

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## 7.Matrix Polynomials (Classics in Applied Mathematics)

Editorial: Society for Industrial and Applied Mathematic (2009)
ISBN 10: 0898716810 ISBN 13: 9780898716818
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Descripción Society for Industrial and Applied Mathematic, 2009. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0898716810

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