An finite iterative algorithm for sloving periodic Sylvester bimatrix equations

• Published in: Journal of the Franklin Institute Vol. 357; no. 15; pp. 10757 - 10772
• Main Authors: Zhang, Lei, Tang, Shiyu, Lv, Lingling
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.10.2020; Elsevier Science Ltd
• Subjects: Algorithms; Conjugate gradient method; Exact solutions; Finite element analysis; Iterative algorithms; Iterative methods; Nonlinear equations; Numerical analysis; Studies

The problem considered in this paper is to solve periodic Sylvester bimatrix equations. Based on the conjugate gradient method and least squares principle, an iterative algorithm is presented to solve the periodic Sylvester bimatrix equations. We show that the iterative solutions of the algorithm co...