The Schur Complement and Its Applications
(Sprache: Englisch)
This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties,...
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Klappentext zu „The Schur Complement and Its Applications “
This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.
Inhaltsverzeichnis zu „The Schur Complement and Its Applications “
- Preface- Historical Introduction: Issai Schur and the Early Development of the Schur Complement
- Basic Properties of the Schur Complement
- Eigenvalue and Singular Value Inequalities of Schur Complements
- Block Matrix Techniques
- Closure Properties
- Schur Complements and Matrix Inequalities: Operator-Theoretic Approach
- Schur Complements in Statistics and Probability
- Schur Complements and Applications in Numerical Analysis
- Bibliography
- Notation
- Index.
Bibliographische Angaben
- 2005, 2005, 295 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben:Zhang, Fuzhen
- Herausgegeben: Fuzhen Zhang
- Verlag: Springer
- ISBN-10: 0387242716
- ISBN-13: 9780387242712
- Erscheinungsdatum: 04.03.2005
Sprache:
Englisch
Rezension zu „The Schur Complement and Its Applications “
From the reviews of the first edition:"The book consists of eight chapters, each written by experts in their field, devoted to certain aspects and applications of the Schur complement. They can be read independently of each other. ... The book can serve as a research reference, as it contains many new results and results not yet appeared in books. The articles contain thorough expositions, so they can be understood by anyone having a good knowledge of linear algebra." (Ludwig Elsner, Zentralblatt MATH, Vol. 1075, 2006)
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