An Introduction to Semi-Tensor Product of Matrices and Its Applications (BOK)

Daizhan Cheng, Hongsheng Qi, Yin Zhao

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In this title, 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.


Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2012 Forfatter Daizhan Cheng, Hongsheng Qi, Yin Zhao
World Scientific Publishing UK
ISBN 9789814374682
Antall sider 612 Dimensjoner 15,5cm x 22,9cm x 3,8cm
Vekt 975 gram Leverandør Bertram Trading Ltd
Emner og form Applied mathematics, Algebra