An introduction to semitensor product of matrices and its applications
 Author/Creator
 Cheng, Daizhan.
 Language
 English.
 Imprint
 Hackensack, N.J. : World Scientific, c2012.
 Physical description
 xxii, 587 p. : ill ; 24 cm.
Access
Available online
 www.worldscientific.com World Scientific

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QA329 .C476 2012

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QA329 .C476 2012
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Contributors
 Contributor
 Qi, Hongsheng.
 Zhao, Yin.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 573581) and index.
 Contents

 MultiDimensional Data SemiTensor Product of Matrices Multilinear Mappings Among Vector Spaces Right and General SemiTensor Products Rank, PseudoInverse, and Positivity of STP Matrix Expression of Logic MixValued Logic Logical Matrix, Fuzzy Set and Fuzzy Logic Fuzzy Relational Equation Fuzzy Control with Coupled Fuzzy Relations Boolean Function with Galois Field Structure Decomposition of Logical Functions Boolean Calculus Lattice, Graph, and Universal Algebra Boolean Network Boolean Control System Game Theory MultiVariable Polynomials Some Applications to Differential Geometry and Algebra Morgan's Problem Linearization of Nonlinear Control Systems Stability Region of Dynamic System.
 (source: Nielsen Book Data)
 Publisher's Summary
 In this title, a generalization of Conventional Matrix Product (CMP), called the SemiTensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudocommutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higherdimensional 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Daizhan Cheng, Hongsheng Qi, Yin Zhao.
 ISBN
 9789814374682 (cloth)
 9814374687 (cloth)