{"product_id":"totally-nonnegative-matrices-hardcover","title":"Totally Nonnegative Matrices - Hardcover","description":"\u003cp\u003eby \u003cb\u003eShaun M. Fallat\u003c\/b\u003e (Author), \u003cb\u003eCharles R. Johnson\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eTotally 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\u003cbr\u003eproperties, 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.\u003cbr\u003e\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"This book is a valuable new reference on the subject of totally nonnegative matrices and its insights will be much appreciated by a broad community of readers interested in matrix theory and its applications.\"\u003cb\u003e--Charles Micchelli, City University of Hong Kong and State University of New York, Albany\u003c\/b\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eShaun M. Fallat\u003c\/b\u003e is professor of mathematics and statistics at the University of Regina. \u003cb\u003eCharles R. Johnson\u003c\/b\u003e is the Class of 1961 Professor of Mathematics at the College of William \u0026amp; Mary.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 264\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.92 x 9.25 x 6.39 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 01, 2011\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42723666690111,"sku":"9780691121574","price":153.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/c4e5e48a61a59dff014f17ef0bee46d5.webp?v=1765099938","url":"https:\/\/dhlswag.com\/products\/totally-nonnegative-matrices-hardcover","provider":"BBB","version":"1.0","type":"link"}