000			03958nam a22004815i 4500
001			978-0-387-24273-6
003			DE-He213
005			20250710083931.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387242736 _a99780387242736
024	7		_a10.1007/b105056 _2doi
082	0	4	_a512.5 _223
100	1		_aZhang, Fuzhen. _eeditor.
245	1	4	_aThe Schur Complement and Its Applications _h[recurso electrónico] / _cedited by Fuzhen Zhang.
264		1	_aBoston, MA : _bSpringer US, _c2005.
300			_aXVI, 295 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aNumerical Methods and Algorithms, _x1571-5698 ; _v4
505	0		_aHistorical 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.
520			_aThe 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.
650		0	_aMATHEMATICS.
650		0	_aMATRIX THEORY.
650		0	_aOPERATOR THEORY.
650		0	_aNUMERICAL ANALYSIS.
650		0	_aMATHEMATICAL STATISTICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
650	2	4	_aNUMERICAL ANALYSIS.
650	2	4	_aSTATISTICAL THEORY AND METHODS.
650	2	4	_aOPERATOR THEORY.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387242712
830		0	_aNumerical Methods and Algorithms, _x1571-5698 ; _v4
856	4	0	_uhttp://dx.doi.org/10.1007/b105056 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56332 _d56332