Totally Positive Matrices
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Completely Positive Matrices
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Author : Abraham Berman
language : en
Publisher: World Scientific
Release Date : 2003-04-11
Completely Positive Matrices written by Abraham Berman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-11 with Mathematics categories.
A real matrix is positive semidefinite if it can be decomposed as A=BB′. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB′ is known as the cp-rank of A.This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp-rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined.
Totally Positive Matrices
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Author : Allan Pinkus
language : en
Publisher: Cambridge University Press
Release Date : 2010
Totally Positive Matrices written by Allan Pinkus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Language Arts & Disciplines categories.
This account of totally positive matrices treats their central properties with full proofs and a complete bibliography.
Copositive And Completely Positive Matrices
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Author : Naomi Shaked-monderer
language : en
Publisher: World Scientific
Release Date : 2021-02-09
Copositive And Completely Positive Matrices written by Naomi Shaked-monderer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-09 with Mathematics categories.
This book is an updated and extended version of Completely Positive Matrices (Abraham Berman and Naomi Shaked-Monderer, World Scientific 2003). It contains new sections on the cone of copositive matrices, which is the dual of the cone of completely positive matrices, and new results on both copositive matrices and completely positive matrices.The book is an up to date comprehensive resource for researchers in Matrix Theory and Optimization. It can also serve as a textbook for an advanced undergraduate or graduate course.
Totally Positive Matrices
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Author : Tsuyoshi Ando
language : en
Publisher:
Release Date : 1984
Totally Positive Matrices written by Tsuyoshi Ando and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Algebras, Linear categories.
Total Positivity And Its Applications
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Author : Mariano Gasca
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Total Positivity And Its Applications written by Mariano Gasca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.
Totally Nonnegative Matrices
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Author : Shaun M. Fallat
language : en
Publisher: Princeton University Press
Release Date : 2022-12-13
Totally Nonnegative Matrices written by Shaun M. Fallat and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-13 with Mathematics categories.
Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.
The Lu Factorization Of Totally Positive And Strictly Totally Positive Matrices
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Author : Anna Cooper Strong
language : en
Publisher:
Release Date : 2000
The Lu Factorization Of Totally Positive And Strictly Totally Positive Matrices written by Anna Cooper Strong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Matrices categories.
Almost Strictly Totally Positive Matrices
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Author : M. Gasca
language : en
Publisher:
Release Date : 1992
Almost Strictly Totally Positive Matrices written by M. Gasca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Totally Positive Matrices And Cyclic Polytopes
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1987
Totally Positive Matrices And Cyclic Polytopes written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Determinantal Inequalities For Totally Positive Matrices
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Author : Daniel Soskin
language : en
Publisher:
Release Date : 2023
Determinantal Inequalities For Totally Positive Matrices written by Daniel Soskin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.