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Matrix Positivity

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Title: Matrix Positivity
Description: Matrix positivity is a central topic in matrix theory: properties that generalize the notion of positivity to matrices arose from a large variety of applications, and many have also taken on notable theoretical significance, either because they are natural or unifying. This is the first book to provide a comprehensive and up-to-date reference of important material on matrix positivity classes, their properties, and their relations. The matrix classes emphasized in this book include the classes of semipositive matrices, P-matrices, inverse M-matrices, and copositive matrices. This self-contained reference will be useful to a large variety of mathematicians, engineers, and social scientists, as well as graduate students. The generalizations of positivity and the connections observed provide a unique perspective, along with theoretical insight into applications and future challenges. Direct applications can be found in data analysis, differential equations, mathematical programming, computational complexity, models of the economy, population biology, dynamical systems and control theory.
Authors: Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros
Resource Type: eBook.
Subjects: Matrices
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2576183
RelevancyScore: 1097
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1096.64697265625
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  Data: Matrix Positivity
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  Data: Matrix positivity is a central topic in matrix theory: properties that generalize the notion of positivity to matrices arose from a large variety of applications, and many have also taken on notable theoretical significance, either because they are natural or unifying. This is the first book to provide a comprehensive and up-to-date reference of important material on matrix positivity classes, their properties, and their relations. The matrix classes emphasized in this book include the classes of semipositive matrices, P-matrices, inverse M-matrices, and copositive matrices. This self-contained reference will be useful to a large variety of mathematicians, engineers, and social scientists, as well as graduate students. The generalizations of positivity and the connections observed provide a unique perspective, along with theoretical insight into applications and future challenges. Direct applications can be found in data analysis, differential equations, mathematical programming, computational complexity, models of the economy, population biology, dynamical systems and control theory.
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      – Code: 512.9434
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Matrices
        Type: general
    Titles:
      – TitleFull: Matrix Positivity
        Type: main
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            NameFull: Charles R. Johnson
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            NameFull: Ronald L. Smith
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            NameFull: Charles R. Johnson
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            NameFull: Ronald L. Smith
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2020
            – D: 06
              M: 11
              Type: profile
              Y: 2020
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              Value: 9781108478717
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              Value: 9781108808309
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              Value: 00221
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            – TitleFull: Matrix Positivity
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