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An introduction to semi-tensor product of matrices and its applications /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
Distributed by World Scientific Pub.,
©2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Cheng, Daizhan. | |
| 245 | 1 | 3 | |a An introduction to semi-tensor product of matrices and its applications / |c Daizhan Cheng, Honsheng Qi, Yin Zhao. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b Distributed by World Scientific Pub., |c ©2012. | ||
| 300 | |a 1 online resource (xxii, 587 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 573-581) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Multi-dimensional data -- Semi-tensor product of matrices -- Multilinear mappings among vector spaces -- Right and general semi-tensor products -- Rank, pseudo-inverse, and positivity of STP -- Matrix expression of logic -- Mix-valued logic -- Logical matrix, fuzzy set and fuzzy logic -- Fuzzy relational equation -- Fuzzy control with coupled fuzzy relations -- Representation of boolean functions -- Decomposition of logical functions -- Boolean calculus -- Lattice, graph, and universal algebra -- Boolean network -- Boolean control system -- Game theory -- Multi-variable polynomials -- Some applications to differential geometry and algebra -- Morgan's problem -- Linearization of nonlinear control systems -- Stability region of dynamic systems. | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Matrices. | |
| 650 | 0 | |a Spectral theory (Mathematics) | |
| 650 | 6 | |a Théorie des opérateurs. | |
| 650 | 6 | |a Matrices. | |
| 650 | 6 | |a Spectre (Mathématiques) | |
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| 650 | 7 | |a Operator theory. |2 fast |0 (OCoLC)fst01046419 | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast |0 (OCoLC)fst01129072 | |
| 700 | 1 | |a Qi, Honsheng. | |
| 700 | 1 | |a Zhao, Yin. | |
| 776 | 0 | 8 | |i Print version: |z 9786613906168 |
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