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＜電子ブック＞
Indefinite Linear Algebra and Applications / by Israel Gohberg, Peter Lancaster, Leiba Rodman

版	1st ed. 2005.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2005
本文言語	英語
大きさ	XII, 357 p : online resource
著者標目	*Gohberg, Israel author Lancaster, Peter author Rodman, Leiba author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Algebras, Linear LCSH:Differential equations FREE:Operator Theory FREE:Linear Algebra FREE:Differential Equations
一般注記	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 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 all of them are based on linear algebra in spaces with indefinite inner product. The latter forms a new more or less independent branch of linear algebra and we gave it the name of indefinite linear algebra. This new subject in linear algebra is presented following the lines and principles of a standard linear algebra course. This book has the structure of a graduate text in which chapters of advanced linear algebra form the core. This together with the many significant applications and accessible style will make it widely useful for engineers, scientists and mathematicians alike HTTP:URL=https://doi.org/10.1007/b137517

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