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Matrix positivity

Johnson, Charles R.

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Matrix positivity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Matrix positivity/ Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros.
Author:	Johnson, Charles R.
other author:	Smith, Ronald L.
Published:	Cambridge :Cambridge University Press, : 2020.,
Description:	xiv, 208 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 21 Sep 2020).
Subject:	Matrices. -
Online resource:	https://doi.org/10.1017/9781108778619
ISBN:	9781108778619

Matrix positivity
Johnson, Charles R.

Matrix positivity[electronic resource] /Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros. - Cambridge :Cambridge University Press,2020. - xiv, 208 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;221. - Cambridge tracts in mathematics ;221..

Title from publisher's bibliographic system (viewed on 21 Sep 2020).

Matrix positivity is a central topic in matrix theory: properties that generalize the notion of positivity to matrices arose from a large variety of applications, and many have also taken on notable theoretical significance, either because they are natural or unifying. This is the first book to provide a comprehensive and up-to-date reference of important material on matrix positivity classes, their properties, and their relations. The matrix classes emphasized in this book include the classes of semipositive matrices, P-matrices, inverse M-matrices, and copositive matrices. This self-contained reference will be useful to a large variety of mathematicians, engineers, and social scientists, as well as graduate students. The generalizations of positivity and the connections observed provide a unique perspective, along with theoretical insight into applications and future challenges. Direct applications can be found in data analysis, differential equations, mathematical programming, computational complexity, models of the economy, population biology, dynamical systems and control theory.

ISBN: 9781108778619Subjects--Topical Terms:

516894
Matrices.

LC Class. No.: QA188 / .J64 2020

Dewey Class. No.: 512.9434

Matrix positivity
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490 1 $a Cambridge tracts in mathematics ; $v 221
500 $a Title from publisher's bibliographic system (viewed on 21 Sep 2020).
520 $a Matrix positivity is a central topic in matrix theory: properties that generalize the notion of positivity to matrices arose from a large variety of applications, and many have also taken on notable theoretical significance, either because they are natural or unifying. This is the first book to provide a comprehensive and up-to-date reference of important material on matrix positivity classes, their properties, and their relations. The matrix classes emphasized in this book include the classes of semipositive matrices, P-matrices, inverse M-matrices, and copositive matrices. This self-contained reference will be useful to a large variety of mathematicians, engineers, and social scientists, as well as graduate students. The generalizations of positivity and the connections observed provide a unique perspective, along with theoretical insight into applications and future challenges. Direct applications can be found in data analysis, differential equations, mathematical programming, computational complexity, models of the economy, population biology, dynamical systems and control theory.
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830 0 $a Cambridge tracts in mathematics ; $v 221. $3 3470593
856 4 0 $u https://doi.org/10.1017/9781108778619