Screen LibraryTotally nonnegative matrices
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| Main Authors: | |
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| Group Author: | |
| Published: |
Princeton University Press,
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| Publisher Address: | Princeton, N.J. |
| Publication Dates: | c2011. |
| Literature type: | Book |
| Language: | English |
| Series: |
Princeton series in applied mathematics |
| Subjects: | |
| Carrier Form: | xv, 248 p.: ill. ; 24 cm. |
| ISBN: |
9780691121574 (hardback) 0691121575 (hardback) |
| Index Number: | O151 |
| CLC: | O151.21 |
| Call Number: | O151.21/F194 |
| Contents: |
Includes bibliographical references and index. "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."--Provided by publisher. "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 factoriza |