Totally Positive Matrices
Part of Cambridge Tracts in Mathematics
- Author: Allan Pinkus, Technion - Israel Institute of Technology, Haifa
- Date Published: November 2009
- availability: Available
- format: Hardback
- isbn: 9780521194082
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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.
Read more- Up-to-date monograph detailing research in the area over the last twenty years
- For researchers and graduate students in mathematics
- Contains complete proofs
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×Product details
- Date Published: November 2009
- format: Hardback
- isbn: 9780521194082
- length: 196 pages
- dimensions: 229 x 152 x 14 mm
- weight: 0.42kg
- availability: Available
Table of Contents
Foreword
1. Basic properties of 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
Afterword
References
Subject index
Author index.
Related Books
related journals
also by this author
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