Actions for Totally positive matrices
Totally positive matrices / Allan Pinkus
- Author
- Pinkus, Allan, 1946-
- Published
- Cambridge ; New York : Cambridge University Press, [2010]
- Copyright Date
- ©2010
- Physical Description
- 1 online resource (xi, 182 pages).
Access Online
- Series
- Language Note
- English.
- 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.
- 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 modern 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"--Provided by publisher
- Subject(s)
- ISBN
- 9780511691126 (electronic bk.)
0511691122 (electronic bk.)
9780511692246 (ebook)
0511692242 (ebook)
051168889X
9780511691713
0511691718
9780511688898
9780511690389
051169038X
1107204615
9781107204614
1282637053
9781282637054
9786612637056
6612637056
0511689640
9780511689642
9780521194082 (hardback)
0521194083 (hardback) - Bibliography Note
- Includes bibliographical references and indexes.
View MARC record | catkey: 43343289