학술논문
Some results on matrix symmetries and a pattern recognition application
Document Type
Periodical
Author
Source
IEEE Transactions on Acoustics, Speech, and Signal Processing IEEE Trans. Acoust., Speech, Signal Process. Acoustics, Speech and Signal Processing, IEEE Transactions on. 34(4):992-994 Aug, 1986
Subject
Language
ISSN
0096-3518
Abstract
This correspondence deals with various matrix symmetries frequently encountered in practice. It is shown that the class of doubly symmetric matrices is not closed under multiplication, whereas centrosymmetric matrices form an Abelian group under addition and a non-Abelian group under multiplication. Results similar to centrosymmetric matrices are presented for the special case of centro-Hermitian matrices. A brief discussion of a pattern recognition feature selection problem is included to demonstrate the manner in which these results may be utilized in practice for developing computationally efficient algorithms.