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Books > Science & Mathematics > Mathematics > Algebra
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Introduction To Semi-tensor Product Of Matrices And Its Applications, An (Hardcover)
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Introduction To Semi-tensor Product Of Matrices And Its Applications, An (Hardcover)
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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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