The Resource Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson
Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson
Resource Information
The item Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary

 "Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and selfcontained 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 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 uptodate bibliography, a glossary of all symbols used, an index, and related references"
 ""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"
 Language
 eng
 Extent
 1 online resource (248 pages)
 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
 Isbn
 9781400839018
 Label
 Totally nonnegative matrices
 Title
 Totally nonnegative matrices
 Statement of responsibility
 Shaun M. Fallat, Charles R. Johnson
 Language
 eng
 Summary

 "Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and selfcontained 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 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 uptodate bibliography, a glossary of all symbols used, an index, and related references"
 ""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"
 Assigning source

 Provided by publisher
 Provided by publisher
 Cataloging source
 N$T
 http://library.link/vocab/creatorName
 Fallat, Shaun M
 Dewey number
 512.9/434
 Illustrations
 illustrations
 Index
 index present
 Language note
 In English
 LC call number
 QA188
 LC item number
 .F35 2011eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Johnson, Charles R
 Series statement
 Princeton series in applied mathematics
 http://library.link/vocab/subjectName

 Nonnegative matrices
 MATHEMATICS
 MATHEMATICS
 MATHEMATICS
 Nonnegative matrices
 Label
 Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 219238) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 713259161
 Dimensions
 unknown
 Extent
 1 online resource (248 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400839018
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9781400839018
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId

 22573/ctt103qx
 cl0500000122
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)713259161
 Label
 Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 219238) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 713259161
 Dimensions
 unknown
 Extent
 1 online resource (248 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400839018
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9781400839018
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId

 22573/ctt103qx
 cl0500000122
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)713259161
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