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...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2020
|
| Series: | Cambridge Tracts in Mathematics
221 |
| Subjects: | |
| Online Access: | BSB01 FHN01 TUM01 UBA01 Volltext |
| 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 |
| Physical Description: | 1 Online-Ressource (xiv, 208 Seiten) |
| ISBN: | 9781108778619 |
| DOI: | 10.1017/9781108778619 |
Staff View
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| author | Johnson, Charles R. 1948- Smith, Ronald L. ca. 20./21. Jh Tsatsomeros, Michael 1961- |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:32:39Z |
| indexdate | 2024-07-10T08:57:39Z |
| institution | BVB |
| isbn | 9781108778619 |
| language | English |
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| spelling | Johnson, Charles R. 1948- Verfasser (DE-588)143876384 aut Matrix positivity Charles R. Johnson (College of William and Mary), Ronald L. Smith (University of Tennessee at Chattanooga), Michael J. Tsatsomeros (Washington State University) Cambridge Cambridge University Press 2020 1 Online-Ressource (xiv, 208 Seiten) txt rdacontent c rdamedia cr rdacarrier 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 Matrices Positive Matrix (DE-588)7696958-7 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Positive Matrix (DE-588)7696958-7 s DE-604 Smith, Ronald L. ca. 20./21. Jh. Verfasser (DE-588)1218632720 aut Tsatsomeros, Michael 1961- Verfasser (DE-588)1218632887 aut Erscheint auch als Druck-Ausgabe 978-1-108-47871-7 Cambridge Tracts in Mathematics 221 (DE-604)BV047362617 221 https://doi.org/10.1017/9781108778619 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Johnson, Charles R. 1948- Smith, Ronald L. ca. 20./21. Jh Tsatsomeros, Michael 1961- Matrix positivity Cambridge Tracts in Mathematics Matrices Positive Matrix (DE-588)7696958-7 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)7696958-7 (DE-588)4035811-2 |
| title | Matrix positivity |
| title_auth | Matrix positivity |
| title_exact_search | Matrix positivity |
| title_exact_search_txtP | Matrix positivity |
| title_full | Matrix positivity Charles R. Johnson (College of William and Mary), Ronald L. Smith (University of Tennessee at Chattanooga), Michael J. Tsatsomeros (Washington State University) |
| title_fullStr | Matrix positivity Charles R. Johnson (College of William and Mary), Ronald L. Smith (University of Tennessee at Chattanooga), Michael J. Tsatsomeros (Washington State University) |
| title_full_unstemmed | Matrix positivity Charles R. Johnson (College of William and Mary), Ronald L. Smith (University of Tennessee at Chattanooga), Michael J. Tsatsomeros (Washington State University) |
| title_short | Matrix positivity |
| title_sort | matrix positivity |
| topic | Matrices Positive Matrix (DE-588)7696958-7 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Matrices Positive Matrix Lineare Algebra |
| url | https://doi.org/10.1017/9781108778619 |
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