青山学院大学図書館

Totally positive matrices

Allan Pinkus. -- Cambridge University Press, 2010. -- (Cambridge tracts in mathematics ; 181). <BB01168801>
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0001 相数理資料室 相数理室L111 510.8||C14||V.181 880950254 0件
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所蔵館 相数理資料室
配置場所 相数理室L111
請求記号 510.8||C14||V.181
資料ID 880950254
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予約 0件
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書誌詳細

標題および責任表示 Totally positive matrices / Allan Pinkus
出版・頒布事項 New York : Cambridge University Press , 2010
形態事項 xi, 182 p. ; 24 cm
巻号情報
ISBN 9780521194082
書誌構造リンク Cambridge tracts in mathematics <BB01175134> 181//a
内容著作注記 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 totally positive matrices
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
NCID BB00381696
本文言語コード 英語
著者標目リンク Pinkus, Allan, 1946- <AU50003499>
分類標目 LCC:QA188
分類標目 DC22:512.9/434
件名標目等 Matrices