Totally positive matrices:
Totally positive matrices constitute a particular class of matrices, the study of which was initiated by analysts because of its many applications in diverse areas. This account of the subject is comprehensive and thorough, with careful treatment of the central properties of totally positive matrice...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
|
| Series: | Cambridge tracts in mathematics
181 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | Totally positive matrices constitute a particular class of matrices, the study of which was initiated by analysts because of its many applications in diverse areas. This account of the subject is comprehensive and thorough, with careful treatment of the central properties of totally positive matrices, full proofs and a complete bibliography. The history of the subject is also described: in particular, the book ends with a tribute to the four people who have made the most notable contributions to the history of total positivity: I. J. Schoenberg, M. G. Krein, F. R. Gantmacher and S. Karlin. This monograph will appeal to those with an interest in matrix theory, to those who use or have used total positivity, and to anyone who wishes to learn about this rich and interesting subject |
| Physical Description: | 1 Online-Ressource (xi, 182 Seiten) |
| ISBN: | 9780511691713 |
| DOI: | 10.1017/CBO9780511691713 |
Staff View
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| 505 | 8 | |a 1. Basic properties of totally positive and strictly totally positive matrices -- 2. Criteria for total positivity and strict total positivity -- 3. Variation diminishing -- 4. Examples -- 5. Eigenvalues and eigenvectors -- 6. Factorizations of totally positive matrices | |
| 520 | |a Totally positive matrices constitute a particular class of matrices, the study of which was initiated by analysts because of its many applications in diverse areas. This account of the subject is comprehensive and thorough, with careful treatment of the central properties of totally positive matrices, full proofs and a complete bibliography. The history of the subject is also described: in particular, the book ends with a tribute to the four people who have made the most notable contributions to the history of total positivity: I. J. Schoenberg, M. G. Krein, F. R. Gantmacher and S. Karlin. This monograph will appeal to those with an interest in matrix theory, to those who use or have used total positivity, and to anyone who wishes to learn about this rich and interesting subject | ||
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Record in the Search Index
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| author | Pinkus, Allan 1946- |
| author_GND | (DE-588)110369297 |
| author_facet | Pinkus, Allan 1946- |
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| author_sort | Pinkus, Allan 1946- |
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| building | Verbundindex |
| bvnumber | BV043941919 |
| classification_rvk | SK 220 |
| collection | ZDB-20-CBO |
| contents | 1. Basic properties of totally positive and strictly totally positive matrices -- 2. Criteria for total positivity and strict total positivity -- 3. Variation diminishing -- 4. Examples -- 5. Eigenvalues and eigenvectors -- 6. Factorizations of totally positive matrices |
| ctrlnum | (ZDB-20-CBO)CR9780511691713 (OCoLC)967775773 (DE-599)BVBBV043941919 |
| dewey-full | 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511691713 |
| format | Electronic eBook |
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| id | DE-604.BV043941919 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511691713 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350889 |
| oclc_num | 967775773 |
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| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xi, 182 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Pinkus, Allan 1946- Verfasser (DE-588)110369297 aut Totally positive matrices Allan Pinkus Cambridge Cambridge University Press 2010 1 Online-Ressource (xi, 182 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 181 1. Basic properties of totally positive and strictly totally positive matrices -- 2. Criteria for total positivity and strict total positivity -- 3. Variation diminishing -- 4. Examples -- 5. Eigenvalues and eigenvectors -- 6. Factorizations of totally positive matrices Totally positive matrices constitute a particular class of matrices, the study of which was initiated by analysts because of its many applications in diverse areas. This account of the subject is comprehensive and thorough, with careful treatment of the central properties of totally positive matrices, full proofs and a complete bibliography. The history of the subject is also described: in particular, the book ends with a tribute to the four people who have made the most notable contributions to the history of total positivity: I. J. Schoenberg, M. G. Krein, F. R. Gantmacher and S. Karlin. This monograph will appeal to those with an interest in matrix theory, to those who use or have used total positivity, and to anyone who wishes to learn about this rich and interesting subject Matrices Positive Matrix (DE-588)7696958-7 gnd rswk-swf Positive Matrix (DE-588)7696958-7 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-19408-2 https://doi.org/10.1017/CBO9780511691713 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Pinkus, Allan 1946- Totally positive matrices 1. Basic properties of totally positive and strictly totally positive matrices -- 2. Criteria for total positivity and strict total positivity -- 3. Variation diminishing -- 4. Examples -- 5. Eigenvalues and eigenvectors -- 6. Factorizations of totally positive matrices Matrices Positive Matrix (DE-588)7696958-7 gnd |
| subject_GND | (DE-588)7696958-7 |
| title | Totally positive matrices |
| title_auth | Totally positive matrices |
| title_exact_search | Totally positive matrices |
| title_full | Totally positive matrices Allan Pinkus |
| title_fullStr | Totally positive matrices Allan Pinkus |
| title_full_unstemmed | Totally positive matrices Allan Pinkus |
| title_short | Totally positive matrices |
| title_sort | totally positive matrices |
| topic | Matrices Positive Matrix (DE-588)7696958-7 gnd |
| topic_facet | Matrices Positive Matrix |
| url | https://doi.org/10.1017/CBO9780511691713 |
| work_keys_str_mv | AT pinkusallan totallypositivematrices |