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 graduate text provides a careful treatment of the theory and applications of matrices in the presence of an indefinite inner product. The theory is a natural extension of the classical theory of hermitian and unitary matrices in linear algebra. Applications of the theory to differential equations, difference equations and systems theory are included. It is widely useful for engineers, scientists and mathematicians alike.

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.