Indefinite linear algebra and applications

Israel Gohberg, Peter Lancaster, Leiba Rodman

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.

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[目次]

  • Preface.- 1. Introduction and Outline.- 2. Indefinite Inner Products.- 3. Orthogonalization and Orthogonal Polynomials.- 4. Classes of Linear Transformations.- 5. Canonical Forms.- 6. Real H-Selfadjoint Matrices.- 7. Functions of H-Selfadjoint Matrices.- 8. H-Normal Matrices.- 9. General Perturbations. Stability of Diagonalizable Matrices.- 10. Definite Invariant Subspaces.- 11. Differential Equations of First Order.- 12. Matrix Polynomials.- 13. Differential and Difference Equations of Higher Order.- 14. Algebraic Riccati Equations.- Appendix: Topics from Linear Algebra.- Bibliography.- Index

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この本の情報

書名 Indefinite linear algebra and applications
著作者等 Gohberg, Israel
Lancaster, Peter
Rodman, L.
Rodman Leiba
出版元 Birkhauser
刊行年月 c2005
ページ数 xii, 357 p.
大きさ 24 cm
ISBN 3764373504
3764373490
NCID BA74212304
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言語 英語
出版国 スイス
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