cam a22 4500 551424710 CHVBK 20201017113616.0 m d cr |n |||||||| 181214s2011 nju sb 001 0 eng d 2010052042 978-0-691-12157-4 (hardback) (SERSOL)ssj0000473874 (NEBIS)009946792 (WaSeSS)ssj0000473874 DLC DLC DLC WaSeSS QA188 .F35 2011eb 512.9/434 22 MAT003000 MAT019000 MAT002050 bisacsh Fallat Shaun M. Totally nonnegative matrices [Elektronische Daten] Shaun M. Fallat, Charles R. Johnson Princeton Princeton University Press c2011 1 online resource (xv, 248 p.) Princeton series in applied mathematics Includes bibliographical references (p. [218]-238) and index. Lizenzbedingungen können den Zugang einschränken. License restrictions may limit access. "Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics.The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references"-- "Totally Nonnegative Matrices" is a comprehensive, modern treatment of the titled class of matrices that arise in very many ways. Methodological background is given, and elementary bidiagonal factorization is a featured tool. In addition to historical highlights and sources of interest, some of the major topics include: recognition, variation diminution, spectral structure, determinantal inequalities, Hadamard products, and completion problems. "-- MATHEMATICS / Applied bisacsh MATHEMATICS / Matrices bisacsh MATHEMATICS / Algebra / Linear bisacsh Non-negative matrices SPEZIELLE TYPEN VON MATRIZEN (ALGEBRA) ger (ETHUDK)000012775 ethudk u SPEZIELLE TYPEN VON MATRIZEN (ALGEBRA) ger 512.643.8 nebis E1 u MATRICES DE TYPES PARTICULIERS (ALGÈBRE) fre 512.643.8 nebis E1 u SPECIAL TYPES OF MATRICES (ALGEBRA) eng 512.643.8 nebis E1 Johnson Charles R. https://www.degruyter.com/openurl?genre=book&isbn=9781400839018 Uni Basel: Volltext https://www.degruyter.com/openurl?genre=book&isbn=9781400839018 Uni Bern: Volltext BK020053 XK020053 XK020000 De Gruyter PDA STM eBooks E-Books von 360MarcUpdates PDA Package: All eBook Content, incl. OWV/AV PDA5EBK EText nebis ED E01-Myilibrary-201309 nebis ER E01-Safari201409 nebis ER noalma ids I 122 E01-20140325 Safari E01-20120101 NEBIS E01 E01 EL IDSBB A145 A145 145VT IDSBB B405 B405 405VT NELB4052004 IDSBB 100 1- Fallat Shaun M. IDSBB 490 0- Princeton series in applied mathematics IDSBB 700 1- Johnson Charles R. IDSBB 856 40 https://www.degruyter.com/openurl?genre=book&isbn=9781400839018 Uni Basel: Volltext IDSBB 856 40 https://www.degruyter.com/openurl?genre=book&isbn=9781400839018 Uni Bern: Volltext NEBIS 100 1- Fallat Shaun M. NEBIS 490 -- Princeton series in applied mathematics NEBIS 700 1- Johnson Charles R. 1948- (DE-588)143876384 NEBIS 856 -- http://sfx.ethz.ch/sfx_locater?sid=ALEPH:EBI01&genre=book&isbn=9780691121574 Online via SFX Volltext SWISSBIB 272904414