Totally nonnegative matrices / Shaun M. Fallat; Charles R. Johnson

Von:

Fallat, Shaun M [aut]

Mitwirkende(r):

Johnson, Charles R, 1948- [aut]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Princeton series in applied mathematicsVerlag: Princeton, N.J. ; Woodstock : Princeton University Press, c2011Beschreibung: XV, 248 S : graph. Darst. ; 24 cmISBN:

9780691121574
9780691242415

Schlagwörter:

Andere physische Formen: Online-Ausg.: Totally nonnegative matrices. Princeton, NJ [u.a.] : Princeton University Press, 2011. Online-Ressource (xv, 248 p) | Erscheint auch als: Totally nonnegative matrices. Online-Ausgabe Online-Ausg. Princeton, N.J : Princeton University Press, 2011. Online-Ressource (xv, 248 p.)MSC: MSC: 15-02 | 15B99 | *15-02 | 15B48 | 15A45RVK: RVK: SK 220LOC-Klassifikation:

QA188

Inhalte:

Bearbeitungsvermerk:

Zusammenfassung: "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"--Zusammenfassung: "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. "--PPN: PPN: 644600233

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Medientyp	Heimatbibliothek	Standort	Signatur	Status	Hinweise	Fälligkeitsdatum	Barcode	Vormerkungen
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Lin. Algeb. / Fal	Verfügbar	Vorhandenes Exemplar: First paperback printing, 2022		36627512090

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