詳細情報

刊年

2010

形態

xi, 182 p. ; 24 cm

シリーズ名

Cambridge tracts in mathematics ; 181

内容注記

Machine generated contents note: 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 totall

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

出版国

アメリカ合衆国

標題言語

英語 (eng)

本文言語

英語 (eng)

著者情報

Pinkus, Allan, 1946- [ Pinkus, Allan M. ] [ Pinkus, A. ] [ Pinkus, A. M. ]

分類

LCC:QA188

DC22:512.9/434

件名

Matrices

ISBN

9780521194082

NCID

BB00381696

番号

LCCN : 2009036647