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.
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Descrizione libro Hardcover. Condizione: new. This item is printed on demand. Codice articolo 9780691121574
Descrizione libro hardback. Condizione: New. Language: ENG. Codice articolo 9780691121574
Descrizione libro Hardback. Condizione: New. New copy - Usually dispatched within 4 working days. Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics. Codice articolo B9780691121574
Descrizione libro Condizione: New. Codice articolo 2575928-n
Descrizione libro HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691121574
Descrizione libro Hardcover. Condizione: Brand New. 1st edition. 264 pages. 9.53x6.18x0.87 inches. In Stock. Codice articolo __0691121575
Descrizione libro Condizione: New. Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics. Series: Princeton Series in Applied Mathematics. Num Pages: 264 pages, 21 line illus. 3 tables. BIC Classification: PBW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 240 x 156 x 22. Weight in Grams: 512. . 2011. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780691121574
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