Indefinite Linear Algebra and Applications

• Main Authors: Gohberg, Israel (Author), Lancaster, Peter (Author), Rodman, Leiba (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Subjects: Mathematics.; Matrix theory.; Algebra.; Operator theory.; Differential equations.; Operator Theory.; Linear and Multilinear Algebras, Matrix Theory.; Ordinary Differential Equations.

This book is dedicated to relatively recent results in linear algebra with indefinite inner product. It also includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications have been developed in the last fifty years, and a...

Table of Contents:

• and Outline
• Indefinite Inner Products
• Orthogonalization and Orthogonal Polynomials
• Classes of Linear Transformations
• Canonical Forms
• Real H-Selfadjoint Matrices
• Functions of H-Selfadjoint Matrices
• H-Normal Matrices
• General Perturbations. Stability of Diagonalizable Matrices
• Definite Invariant Subspaces
• Differential Equations of First Order
• Matrix Polynomials
• Differential and Difference Equations of Higher Order
• Algebraic Riccati Equations.