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Totally positive matrices

Pinkus, Allan, (1946-)

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Totally positive matrices

Record Type:	Electronic resources : Monograph/item
Title/Author:	Totally positive matrices/ Allan Pinkus.
Author:	Pinkus, Allan,
Published:	Cambridge :Cambridge University Press, : 2010.,
Description:	xi, 182 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	1. Basic properties of totally positive and strictly 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.
Subject:	Matrices. -
Online resource:	https://doi.org/10.1017/CBO9780511691713
ISBN:	9780511691713

Totally positive matrices
Pinkus, Allan,1946-

Totally positive matrices[electronic resource] /Allan Pinkus. - Cambridge :Cambridge University Press,2010. - xi, 182 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;181. - Cambridge tracts in mathematics ;181..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Basic properties of totally positive and strictly 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.

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.

ISBN: 9780511691713Subjects--Topical Terms:

516894
Matrices.

LC Class. No.: QA188 / .P556 2010

Dewey Class. No.: 512.9434

Totally positive matrices
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 1. Basic properties of totally positive and strictly 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.
520 $a 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.
650 0 $a Matrices. $3 516894
830 0 $a Cambridge tracts in mathematics ; $v 181. $3 3470405
856 4 0 $u https://doi.org/10.1017/CBO9780511691713