Totally Positive Matrices
eBook - PDF

Totally Positive Matrices

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Totally Positive Matrices

About this book

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.

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Yes, you can access Totally Positive Matrices by Allan Pinkus in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Foreword
  8. 1 Basic properties of totally positive and strictly totally positive matrices
  9. 2 Criteria for total positivity and strict total positivity
  10. 3 Variation diminishing
  11. 4 Examples
  12. 5 Eigenvalues and eigenvectors
  13. 6 Factorizations of totally positive matrices
  14. Afterword
  15. References
  16. Author index
  17. Subject index