Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations

作者：Hajarian Masoud^*

来源：Applied Mathematical Modelling, 2015, 39(19): 6073-6084.

DOI：10.1016/j.apm.2015.01.026

• BiCOR method
• CURS method
• Iterative method
• Periodic Sylvester matrix equation
• Sylvester-transpose matrix equation

Recently the biconjugate A-orthogonal residual (BiCOR) and the conjugate A-orthogonal residual squared (CURS) methods have been introduced for solving nonsymmetric linear systems Ax = b. This study directly develops the BiCOR and CURS methods to obtain matrix iterative methods for solving the coupled Sylvester-transpose matrix equations
{Sigma(1)(K=1)(A(1,k)XB(1,k) + (C1,kXD1,k)-D-T + E1,kYF1,k) = M-1,
Sigma(1)(K=1)(A(2,k)XB(1,k) + (C2,kXD2,k)-D-T + E2,kYF2,k) = M-2,
and the coupled periodic Sylvester matrix equations
{A(1,j)X(j)B(1,j) + C1,jXj+1D1,j + epsilon 1,jYjF1,j = M-1,M-j, for j = 1,2,....mu.
A(2,j)X(j)B(2,j) + C2,jXj+1D2,j + epsilon 2,jYjF2,j = M-2,M-j,
Numerical examples are given at the end of this paper to compare the accuracy and efficiency of the matrix iterative methods with other methods in the literature.

• 出版日期2015-10-1