Totally positive matrices

著者

• Pinkus, Allan

書誌事項

Totally positive matrices

Allan Pinkus

（Cambridge tracts in mathematics, 181）

Cambridge University Press, 2010

注記

Summary: "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"--Provided by publisher

収録内容

• Contents note: Foreword
• Basic properties of totally positive and strictly totally positive matrices
• Criteria for total positivity and strict total positivity
• Variation diminishing
• Examples
• Eigenvalues and eigenvectors
• Factorizations of totally positive matrices

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB00381696
• ISBN:
  • 9780521194082
• LCCN: 2009036647
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xi, 182 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA188
  • DC22 : 512.9/434
• 件名:
  • LCSH : Matrices
• 親書誌ID:
  • BA00134372