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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2012
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 |
| Physical Description: | xxii, 587 p. ill |
| ISBN: | 9789814374699 |
Staff View
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| 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 | ||
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| id | DE-604.BV044638805 |
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| institution | BVB |
| isbn | 9789814374699 |
| language | English |
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| physical | xxii, 587 p. ill |
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| spelling | Cheng, Dai-Zhan Verfasser aut An introduction to semi-tensor product of matrices and ITS applications Daizhan Cheng, Hongsheng Qi, Yin Zhao Singapore World Scientific Pub. Co. c2012 xxii, 587 p. ill txt rdacontent c rdamedia cr rdacarrier 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 Operator theory Matrices Spectral theory (Mathematics) Qi, Hongsheng Sonstige oth Zhao, Yin Sonstige oth Erscheint auch als Druck-Ausgabe 9789814374682 Erscheint auch als Druck-Ausgabe 9814374687 http://www.worldscientific.com/worldscibooks/10.1142/8323#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Cheng, Dai-Zhan An introduction to semi-tensor product of matrices and ITS applications Operator theory Matrices Spectral theory (Mathematics) |
| title | An introduction to semi-tensor product of matrices and ITS applications |
| title_auth | An introduction to semi-tensor product of matrices and ITS applications |
| title_exact_search | An introduction to semi-tensor product of matrices and ITS applications |
| title_full | An introduction to semi-tensor product of matrices and ITS applications Daizhan Cheng, Hongsheng Qi, Yin Zhao |
| title_fullStr | An introduction to semi-tensor product of matrices and ITS applications Daizhan Cheng, Hongsheng Qi, Yin Zhao |
| title_full_unstemmed | An introduction to semi-tensor product of matrices and ITS applications Daizhan Cheng, Hongsheng Qi, Yin Zhao |
| title_short | An introduction to semi-tensor product of matrices and ITS applications |
| title_sort | an introduction to semi tensor product of matrices and its applications |
| topic | Operator theory Matrices Spectral theory (Mathematics) |
| topic_facet | Operator theory Matrices Spectral theory (Mathematics) |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8323#t=toc |
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