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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 applications/ Daizhan 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:
134552
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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An introduction to semi-tensor product of matrices and its applications
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Daizhan Cheng, Honsheng Qi, Yin Zhao.
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c2012.
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World Scientific,
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1 online resource (xxii, 587 p.) :
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ill.
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Includes bibliographical references (p. 573-581) and index.
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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.
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Description based on print version record.
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Qi, Hongsheng,
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Zhao, Yin.
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http://www.worldscientific.com/worldscibooks/10.1142/8323#t=toc
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