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  1. Home
  2. Books
  3. Totally Positive Matrices
  • Cited by 34
  • Allan Pinkus, Technion - Israel Institute of Technology, Haifa
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
2009
Online ISBN:
9780511691713
DOI:
https://doi.org/10.1017/CBO9780511691713
Subjects:
Mathematics (general), Mathematics, Abstract Analysis, Algebra
Series:
Cambridge Tracts in Mathematics (181)
Information

Book description

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.

Reviews

"... found the book particularly effective as a tool for a reading group on algebraic statistics; it is an excellent resource, cuts straight to the subject's open questions, and should be an interesting read for any researcher for theoretical statistics."
Robin J. Evans, SIAM Review

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Contents

Contents
References
References
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