Matrix positivity:
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 prov...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2020
|
| Schriftenreihe: | Cambridge tracts in mathematics
221 |
| Links: | https://doi.org/10.1017/9781108778619 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 208 Seiten) |
| ISBN: | 9781108778619 |
Internformat
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| 245 | 1 | 0 | |a Matrix positivity |c Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros |
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| spelling | Johnson, Charles R. Matrix positivity Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros Cambridge Cambridge University Press 2020 1 Online-Ressource (xiv, 208 Seiten) txt c cr Cambridge tracts in mathematics 221 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. Smith, Ronald L. Tsatsomeros, Michael J. Erscheint auch als Druck-Ausgabe 9781108478717 |
| spellingShingle | Johnson, Charles R. Matrix positivity |
| title | Matrix positivity |
| title_auth | Matrix positivity |
| title_exact_search | Matrix positivity |
| title_full | Matrix positivity Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros |
| title_fullStr | Matrix positivity Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros |
| title_full_unstemmed | Matrix positivity Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros |
| title_short | Matrix positivity |
| title_sort | matrix positivity |
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