03968nam a22004935i 4500 978-0-387-24273-6 DE-He213 20260521091831.0 cr nn 008mamaa 100301s2005 xxu| s |||| 0|eng d 9780387242736 99780387242736 10.1007/b105056 doi CICY 512.5 23 Zhang, Fuzhen. editor. The Schur Complement and Its Applications [recurso electrónico] / edited by Fuzhen Zhang. Boston, MA : Springer US, 2005. XVI, 295 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Numerical Methods and Algorithms, 1571-5698 ; 4 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. The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics 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. The eight chapters of the book cover themes and variations 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 applications in statistics, probability, and numerical analysis. The chapters need not be read in order, and the reader should feel free to browse freely through topics of interest. Although the book is primarily intended to serve as a research reference, it will also be useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and statistics. The contributing authors' exposition makes most of the material accessible to readers with a sound foundation in linear algebra. The book, edited by Fuzhen Zhang, was written by several distinguished mathematicians: T. Ando (Hokkaido University, Japan), C. Brezinski (Université des Sciences et Technologies de Lille, France), R. Horn (University of Utah, Salt Lake City, U.S.A.), C. Johnson (College of William and Mary, Williamsburg, U.S.A.), J.-Z. Liu (Xiangtang University, China), S. Puntanen (University of Tampere, Finland), R. Smith (University of Tennessee, Chattanooga, USA), and G.P.H. Steyn (McGill University, Canada). Fuzhen Zhang is a professor of Nova Southeastern University, Fort Lauderdale, U.S.A., and a guest professor of Shenyang Normal University, Shenyang, China. Audience This book is intended for researchers in linear algebra, matrix analysis, numerical analysis, and statistics. MATHEMATICS. MATRIX THEORY. OPERATOR THEORY. NUMERICAL ANALYSIS. MATHEMATICAL STATISTICS. MATHEMATICS. LINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY. NUMERICAL ANALYSIS. STATISTICAL THEORY AND METHODS. OPERATOR THEORY. SpringerLink (Online service) Springer eBooks Printed edition: 9780387242712 Numerical Methods and Algorithms, 1571-5698 ; 4 http://dx.doi.org/10.1007/b105056 Ver el texto completo en las instalaciones del CICY ddc ER 32270 32270 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 512.5 2025-07-10 08:39:31 2025-07-10 ER