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.
Author: Allan Pinkus Publisher: Cambridge University Press Published: 11/01/2009 Pages: 196 Binding Type: Hardcover Weight: 1.01lbs Size: 9.02h x 5.98w x 0.56d ISBN: 9780521194082
Review Citation(s): Choice 02/01/2011
About the Author Pinkus, Allan: - "Allan Pinkus holds the Margaret Mosenfelder Harris Chair in Mathematics at the Department of Mathematics at the Technion - Israel Institute of Technology."