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  • Produktbild: Indefinite Linear Algebra and Applications
  • Produktbild: Indefinite Linear Algebra and Applications

Indefinite Linear Algebra and Applications

Fr. 72.90

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Beschreibung

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,...

Beschreibung

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.

Rezension

This is a splendidly written book, one of a number by three of the world’s leading linear algebraists, that collects many results on indefinite linear algebra from the literature and puts them all in a single place. The book is based in part on a 1983 book titled Matrices and Indefinite Scalar Products by the same authors and publisher but includes many contemporary results from the journal literature and elsewhere. In fact, the ends of many of the chapters provide a guide to sources where further materials are to be found. There are some excellent exercises collected at the end of each chapter making the book ideal as a graduate-level textbook.


(SIAM Review)


"The reviewer is convinced that the present book will be welcome by all readers interested in applications of indefinite linear algebra in matrix polynomials, differential equations and difference equations with constant coefficients." Mircea Crâsmareanu,
Analele Stiintifice

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

18.10.2005

Abbildungen

XII, 357 p.

Verlag Springer Basel

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

18.10.2005

Abbildungen

XII, 357 p.

Verlag Springer Basel
Seitenzahl

357

Maße (L/B/H)

23.5/15.5/2.1 cm

Gewicht

563 g

Auflage

2005

Sprache

Englisch

ISBN

978-3-7643-7349-8

Herstelleradresse

Springer Nature c/o IBS
Benzstrasse 21
48619 Heek
DE

Email: Tanja.Keller@springer.com

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  • Produktbild: Indefinite Linear Algebra and Applications
  • Produktbild: Indefinite Linear Algebra and Applications
  • 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.