Matrix positivity
Material type:
TextSeries: Cambridge tracts in mathematics ; 221Publication details: Cambridge : Cambridge University Press, 2020. Description: xiv, 208 pages : illustrations ; 24 cmISBN: 9781108478717Subject(s): MatricesDDC classification: 512.643 Online resources: Table of content | Reviews Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
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Book
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NISER LIBRARY | 512.643 JOH-M (Browse shelf(Opens below)) | Available | 25850 |
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| 512.643 GOL-M Matrix computations | 512.643 HOP-M Matrix computations | 512.643 JAC-L Linear functions and matrix theory | 512.643 JOH-M Matrix positivity | 512.643 KUM-C Comparison of order projections in absolute matrix order unit spaces | 512.643 KUM-C Comparison of order projections in absolute matrix order unit spaces | 512.643 LEW-M Matrix theory |
Includes bibliographical references and index.
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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