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The Resource Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson

Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson

Label
Totally nonnegative matrices
Title
Totally nonnegative matrices
Statement of responsibility
Shaun M. Fallat, Charles R. Johnson
Creator
Contributor
Subject
Language
eng
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 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 up-to-date 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"--
Member of
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
  • Non-negative matrices
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Non-negative matrices
Label
Totally nonnegative matrices, Shaun M. Fallat, Charles R. Johnson
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 219-238) 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
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 219-238) 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

Library Locations

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      38.710138 -90.311107
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