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- 2019
Three types of biconjugate residual method for general periodic matrix equations over generalized bisymmetric periodic matricesKeywords: BCR method,generalized bisymmetric periodic solution,general periodic matrix equations Abstract: 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 η , Y η ) 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
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