Rodman Topics in Quaternion Linear Algebra

Course Book
ISBN: 978-1-4008-5274-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 45, 384 Seiten

Reihe: Princeton Series in Applied Mathematics

No detailed description available for "Topics in Quaternion Linear Algebra".

Autoren/Hrsg.

Rodman, Leiba

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein
• Mathematik | Informatik EDV | Informatik Informatik
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

FrontMatter, pg. i
Contents, pg. vii
Preface, pg. xi
Chapter One. Introduction, pg. 1
Chapter Two. The algebra of quaternions, pg. 9
Chapter Three. Vector spaces and matrices: Basic theory, pg. 28
Chapter Four. Symmetric matrices and congruence, pg. 64
Chapter Five. Invariant subspaces and Jordan form, pg. 83
Chapter Six. Invariant neutral and semidefinite subspaces, pg. 131
Chapter Seven. Smith form and Kronecker canonical form, pg. 153
Chapter Eight. Pencils of hermitian matrices, pg. 172
Chapter Nine. Skewhermitian and mixed pencils, pg. 194
Chapter Ten. Indefinite inner products: Conjugation, pg. 228
Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution, pg. 261
Chapter Twelve. Mixed matrix pencils: Nonstandard involutions, pg. 279
Chapter Thirteen. Indefinite inner products: Nonstandard involution, pg. 300
Chapter Fourteen. Matrix equations, pg. 328
Chapter Fifteen. Appendix: Real and complex canonical forms, pg. 339
Bibliography, pg. 353
Index, pg. 361

Über Autor(innen)

Leiba Rodman is professor of mathematics at the College of William & Mary. His books include Matrix Polynomials, Algebraic Riccati Equations, and Indefinite Linear Algebra and Applications.