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

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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 ...

An Introduction to Semi-Tensor Product of Matrices and Its Applications 2012, World Scientific Publishing Company

ISBN-13: 9789814374682

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