An Introduction to Semi-Tensor Product of Matrices and Its Applications Contributor(s): Cheng, Daizhan (Author), Qi, Hongsheng (Author), Zhao, Yin (Author) |
|
ISBN: 9814374687 ISBN-13: 9789814374682 Publisher: World Scientific Publishing Company OUR PRICE: $209.00 Product Type: Hardcover Published: August 2012 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Applied - Mathematics | Logic |
Dewey: 515.724 |
Physical Information: 1.5" H x 6.1" W x 9" (2.15 lbs) 612 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |