An introduction to semi-tensor product of matrices and its applications

1. Multi-dimensional data -- 2. Semi-tensor product of matrices -- 3. Multilinear mappings among vector spaces -- 4. Right and general semi-tensor products -- 5. Rank, pseudo-inverse, and positivity of STP -- 6. Matrix expression of logic -- 7. Mix-valued logic -- 8. Logical matrix, fuzzy set and fu...

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1. Verfasser:	Cheng, Daizhan (VerfasserIn)
Weitere Verfasser:	Qi, Hongsheng (VerfasserIn), Zhao, Yin (VerfasserIn), Cheng, Daizan (BerichterstatterIn)
Format:	UnknownFormat
Sprache:	eng
Veröffentlicht:	New Jersey u.a. World Scientific 2012
Schlagworte:	Operator theory > Matrices > Spectral theory (Mathematics) > Matrix > Tensorprodukt
Online Zugang:	Inhaltstext
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Beschreibung
Zusammenfassung:	1. Multi-dimensional data -- 2. Semi-tensor product of matrices -- 3. Multilinear mappings among vector spaces -- 4. Right and general semi-tensor products -- 5. Rank, pseudo-inverse, and positivity of STP -- 6. Matrix expression of logic -- 7. Mix-valued logic -- 8. Logical matrix, fuzzy set and fuzzy logic -- 9. Fuzzy relational equation -- 10. Fuzzy control with coupled fuzzy relations -- 11. Representation of boolean functions -- 12. Decomposition of logical functions -- 13. Boolean calculus -- 14. Lattice, graph, and universal algebra -- 15. Boolean network -- 16. Boolean control system -- 17. Game theory -- 18. Multi-variable polynomials -- 19. Some applications to differential geometry and algebra -- 20. Morgan's problem -- 21. Linearization of nonlinear control systems -- 22. Stability region of dynamic systems -- Appendix A. Numerical algorithms
Beschreibung:	Literaturverz. S. 573 - 581
Beschreibung:	XXII, 587 S. graph. Darst.
ISBN:	9814374687 981-4374-68-7 9789814374682 978-981-4374-68-2