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Totally Nonnegative Matrices
Shaun M. Fallat
€ 88.47
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Description for Totally Nonnegative Matrices
Hardback. 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.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Princeton University Press United States
Number of pages
264
Condition
New
Series
Princeton Series in Applied Mathematics
Number of Pages
264
Place of Publication
New Jersey, United States
ISBN
9780691121574
SKU
V9780691121574
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Shaun M. Fallat
Shaun M. Fallat is professor of mathematics and statistics at the University of Regina. Charles R. Johnson is the Class of 1961 Professor of Mathematics at the College of William & Mary.
Reviews for Totally Nonnegative Matrices
"This book is a very useful new reference on the subject of TN matrices and it will be of interest to researchers on matrix theory as well as to researchers of any field where total positivity has applications."
Juan Manuel Pefia, Mathematical Reviews
Juan Manuel Pefia, Mathematical Reviews