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Totally nonnegative matrices

Author: Shaun M Fallat; Charles R Johnson
Publisher: Princeton : Princeton University Press, ©2011.
Series: Princeton series in applied mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Fallat, Shaun M.
Totally nonnegative matrices.
Princeton : Princeton University Press, 2011
(DLC) 2010052042
(OCoLC)679940604
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Shaun M Fallat; Charles R Johnson
ISBN: 9781400839018 1400839017
OCLC Number: 713259161
Language Note: In English.
Description: 1 online resource (248 pages) : illustrations.
Contents: Totally Nonnegative Matrices; Contents; List of Figures; Preface; Chapter 0. Introduction; Chapter 1. Preliminary Results and Discussion; Chapter 2. Bidiagonal Factorization; Chapter 3. Recognition; Chapter 4. Sign Variation of Vectors and TN Linear Transformations; Chapter 5. The Spectral Structure of TN Matrices; Chapter 6. Determinantal Inequalities for TN Matrices; Chapter 7. Row and Column Inclusion and the Distribution of Rank; Chapter 8. Hadamard Products and Powers of TN Matrices; Chapter 9. Extensions and Completions; Chapter 10. Other Related Topics on TN Matrices; Bibliography.
Series Title: Princeton series in applied mathematics.
Responsibility: Shaun M. Fallat, Charles R. Johnson.

Abstract:

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  Read more...

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"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 Read more...

 
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