Gohberg / Lancaster / Rodman Indefinite Linear Algebra and Applications
1. Auflage 2006
ISBN: 978-3-7643-7350-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 369 Seiten, Web PDF
Reihe: Mathematics and Statistics (R0)
ISBN: 978-3-7643-7350-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
