Totally Positive Matrices

Erscheinungsjahr 2011
ISBN: 978-0-521-19408-2
Verlag: Cambridge University Press

Buch, Englisch, Band 181, 194 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 443 g

Reihe: Cambridge Tracts in Mathematics

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.

Autoren/Hrsg.

Pinkus, Allan

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

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.

Über Autor(innen)

Pinkus, Allan
Allan Pinkus holds the Margaret Mosenfelder Harris Chair in Mathematics at the Department of Mathematics at the Technion - Israel Institute of Technology.