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Totally positive matrices / Allan Pinkus
(Cambridge tracts in mathematics ; 181)

データ種別 図書
出版者 New York : Cambridge University Press
出版年 2010
本文言語 英語
大きさ xi, 182 p. ; 24 cm

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泉:図書館閉架地下2階書庫
QA/188tp a3010005995b
9780521194082

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内容注記 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
一般注記 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
著者標目 Pinkus, Allan, 1946-
件 名 LCSH:Matrices
分 類 LCC:QA188
DC22:512.9/434
書誌ID 1001033954
ISBN 9780521194082
NCID BB00381696

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