Matrix Polynomials - I. Gohberg

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Résumé :

• 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 –...

  Biographie:
  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.

  Sommaire:
  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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