04022nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024002500137040000900162082001400171100002800185245009800213264003800311300003400349336002600383337002600409338003900435347002400474490005400498505043700552520191400989650001702903650001902920650002102939650002402960650002902984650001703013650005203030650002403082650003603106650002103142710003403163773002003197776003603217830005403253856009303307942001203400999001703412952009903429978-0-387-24273-6DE-He21320260521091831.0cr nn 008mamaa100301s2005    xxu|    s    |||| 0|eng d  a9780387242736  a997803872427367 a10.1007/b1050562doi  cCICY04a512.52231 aZhang, Fuzhen.eeditor.14aThe Schur Complement and Its Applicationsh[recurso electrónico] /cedited by Fuzhen Zhang. 1aBoston, MA :bSpringer US,c2005.  aXVI, 295 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aNumerical Methods and Algorithms,x1571-5698 ;v40 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.  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. 0aMATHEMATICS. 0aMATRIX THEORY. 0aOPERATOR THEORY. 0aNUMERICAL ANALYSIS. 0aMATHEMATICAL STATISTICS.14aMATHEMATICS.24aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.24aNUMERICAL ANALYSIS.24aSTATISTICAL THEORY AND METHODS.24aOPERATOR THEORY.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387242712 0aNumerical Methods and Algorithms,x1571-5698 ;v440uhttp://dx.doi.org/10.1007/b105056zVer el texto completo en las instalaciones del CICY  2ddccER  c32270d32270  00102ddc40708LEaCICYbCICYcELd2025-07-10l0o512.5r2025-07-10 08:39:31w2025-07-10yER