%0 Journal Article
%T Three types of biconjugate residual method for general periodic matrix equations over generalized bisymmetric periodic matrices
%A Masoud Hajarian
%J Transactions of the Institute of Measurement and Control
%@ 1477-0369
%D 2019
%R 10.1177/0142331218808859
%X As is well known, periodic matrix equations have wide applications in many areas of control and system theory. This paper is devoted to a study of the numerical solutions of a general type of periodic matrix equations. We present three types of biconjugate residual (BCR) method to find the generalized bisymmetric periodic solutions ( X 1 , Y 1 , X 2 , Y 2 , ¡­ , X ¦Ç , Y ¦Ç ) of general periodic matrix equations   The main theorems of this paper show that the presented methods can compute the generalized bisymmetric periodic solutions in a finite number of steps in the absence of round-off errors. We give two numerical examples to illustrate and interpret the theoretical results
%K BCR method
%K generalized bisymmetric periodic solution
%K general periodic matrix equations
%U https://journals.sagepub.com/doi/full/10.1177/0142331218808859