Totally Nonnegative Matrices / / Charles R. Johnson, Shaun M. Fallat.
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, historic...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©2011 |
| Year of Publication: | 2011 |
| Edition: | Course Book |
| Language: | English |
| Series: | Princeton Series in Applied Mathematics ;
35 |
| Online Access: | |
| Physical Description: | 1 online resource (264 p.) :; 21 line illus. 3 tables. |
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Table of Contents:
- Frontmatter
- Contents
- List of Figures
- Preface
- Chapter 0. Introduction
- Chapter One. Preliminary Results and Discussion
- Chapter Two. Bidiagonal Factorization
- Chapter Three. Recognition
- Chapter Four. Sign Variation of Vectors and TN Linear Transformations
- Chapter Five. The Spectral Structure of TN Matrices
- Chapter Six. Determinantal Inequalities for TN Matrices
- Chapter Seven. Row and Column Inclusion and the Distribution of Rank
- Chapter Eight. Hadamard Products and Powers of TN Matrices
- Chapter Nine. Extensions and Completions
- Chapter Ten. Other Related Topics on TN Matrices
- Bibliography
- List of Symbols
- Index