The Schur Complement and Its Applications

Language: English

Published by Springer, Springer Mär 2005, 2005

0387242716 / 9780387242712

Series: Book 3 of 4 - Numerical Methods and Algorithms

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This item is printed on demand - Print on Demand Titel. Neuware -What's in a name To paraphrase Shakespeare's Juliet, that which - ilie Haynsworth called the Schur complement, by any other name would be just as beautiful. Nevertheless, her 1968 naming decision in honor of Issai Schur (1875-1941) has gained lasting acceptance by the mathematical com munity. The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. Our goal is to expose the Schur complement as a rich and basic tool in mathematical research and applications and to discuss many significant re sults that illustrate its power and fertility. Although our book was originally conceived as a research reference, it will also be useful for graduate and up per division undergraduate courses in mathematics, applied mathematics, and statistics. The contributing authors have developed an exposition that makes the material accessible to readers with a sound foundation in linear algebra. The eight chapters of the book (Chapters 0-7) cover themes and varia tions on the Schur complement, including its historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and appli cations in statistics, probability, and numerical analysis. The chapters need not be read in the order presented, and the reader should feel at leisure to browse freely through topics of interest.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 312 pp. Englisch.

Seller Inventory # 9780387242712

Title
The Schur Complement and Its Applications
Author
Fuzhen Zhang
Publisher
Springer, Springer Mär 2005
Publication year
2005
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0387242716
ISBN 13
9780387242712
Item weight
635 grams
Dimensions
241x160x22 mm
Series
Book 3 of 4: Numerical Methods and Algorithms

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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