Totally Positive Matrices
Totally Positive Matrices
£111.00
GBPTotally 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.
- Up-to-date monograph detailing research in the area over the last twenty years
- For researchers and graduate students in mathematics
- Contains complete proofs
Product details
November 2009Hardback
9780521194082
196 pages
229 × 152 × 14 mm
0.42kg
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.
