Indefinite Linear Algebra and Applications

2005
ISBN: 978-3-7643-7349-8
Verlag: Springer

Buch, Englisch, 357 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1150 g

This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.

Zielgruppe

Graduate students, researchers, instructors

Autoren/Hrsg.

Gohberg, Israel

Rodman, Leiba

Lancaster, Peter

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.