Description

Book Synopsis
Totally positive matrices constitute a particular class of matrices that features strongly in many areas of mathematics with diverse applications. This account of the subject provides a comprehensive treatment of their central properties, with full proofs and a complete bibliography.

Trade Review
"... 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

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.

Totally Positive Matrices 181 Cambridge Tracts in Mathematics Series Number 181

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    A Hardback by Allan Pinkus

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      View other formats and editions of Totally Positive Matrices 181 Cambridge Tracts in Mathematics Series Number 181 by Allan Pinkus

      Publisher: Cambridge University Press
      Publication Date: 11/26/2009 12:00:00 AM
      ISBN13: 9780521194082, 978-0521194082
      ISBN10: 0521194083
      Also in:
      Algebra

      Description

      Book Synopsis
      Totally positive matrices constitute a particular class of matrices that features strongly in many areas of mathematics with diverse applications. This account of the subject provides a comprehensive treatment of their central properties, with full proofs and a complete bibliography.

      Trade Review
      "... 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

      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.

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