Name: the schur complement and its applications (en Inglés)
SKU: 25620842
Price: 161.88 USD
Availability: InStock
Author: Zhang, Fuzhen

portada the schur complement and its applications (en Inglés)

the schur complement and its applications (en Inglés)

Formato

Libro Físico

Ilustrado por

Fuzhen Zhang

Editorial

Springer

Autor

Zhang, Fuzhen

Año

2010

Idioma

Inglés

N° páginas

295

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.7 cm

Peso

0.44 kg.

ISBN

1441937129

ISBN13

9781441937124

Categorías

Álgebra
Cálculo y análisis matemático

the schur complement and its applications (en Inglés)

Fuzhen Zhang (Ilustrado por) · Springer · Tapa Blanda

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Reseña del libro "the schur complement and its applications (en Inglés)"

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.