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An introduction to semi-tensor produ...

Cheng, Dai-Zhan.

An introduction to semi-tensor product of matrices and its applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to semi-tensor product of matrices and its applicationsDaizhan Cheng, Honsheng Qi, Yin Zhao.
Author:	Cheng, Dai-Zhan.
other author:	Qi, Hongsheng,
Published:	Hackensack, N.J. :World Scientific,c2012.
Description:	1 online resource (xxii, 587 p.) :ill.
Subject:	Operator theory.
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/8323#t=toc
ISBN:	9789814374699 (electronic bk.)

An introduction to semi-tensor product of matrices and its applications
Cheng, Dai-Zhan.

An introduction to semi-tensor product of matrices and its applications[electronic resource] /Daizhan Cheng, Honsheng Qi, Yin Zhao. - Hackensack, N.J. :World Scientific,c2012. - 1 online resource (xxii, 587 p.) :ill.

Includes bibliographical references (p. 573-581) and index.

A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations. This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

ISBN: 9789814374699 (electronic bk.)Subjects--Topical Terms:

229156
Operator theory.

LC Class. No.: QA329 / .C476 2012eb

Dewey Class. No.: 515.724

An introduction to semi-tensor product of matrices and its applications
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245 1 3 $a An introduction to semi-tensor product of matrices and its applications $h [electronic resource] / $c Daizhan Cheng, Honsheng Qi, Yin Zhao.
260 $a Hackensack, N.J. : $b World Scientific, $c c2012.
300 $a 1 online resource (xxii, 587 p.) : $b ill.
504 $a Includes bibliographical references (p. 573-581) and index.
520 $a A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations. This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.
588 $a Description based on print version record.
650 0 $a Operator theory. $3 229156
650 0 $a Matrices. $3 181876
650 0 $a Spectral theory (Mathematics) $3 182365
700 1 $a Qi, Hongsheng, $c Ph.D. $3 648123
700 1 $a Zhao, Yin. $3 648124
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/8323#t=toc