{"product_id":"totally-nonnegative-matrices-9780691121574","title":"Totally Nonnegative Matrices","description":"\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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Shaun M. Fallat, Charles R. Johnson\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/01\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 264\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.11lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.25h x 6.39w x 0.92d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691121574\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 12\/01\/2011\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\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.\u003cbr\u003e\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40608952582259,"sku":"9.78069E+12","price":102.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_eb4768a7-fbde-4bb9-a942-3cd981eb4d85.jpg?v=1669730887","url":"https:\/\/bookstorenmore.com\/en-de\/products\/totally-nonnegative-matrices-9780691121574","provider":"Bookstore N More","version":"1.0","type":"link"}