Algorithm 432

Algorithm 432: Solution of the matrix equation AX + XB = C [F4]. The following programs are a collection of Fortran IV subroutines to solve the matrix equation AX+XB=C(1) where A, B, and C are real matrices of dimensions m×m, n×n, and m×n, respectively. Additional subroutines permit the efficient solution of the equation A T X+XA=C, where C is symmetric. Equation (1) has applications to the direct solution of discrete Poisson equations [W. G. Bickley and J. McNamee, Philos. Trans. R. Soc. Lond., Ser. A 252, 69–131 (1960; Zbl 0092.13001)].

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References in zbMATH (referenced in 252 articles , 1 standard article )

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  8. Li, Sheng-Kun; Wang, Mao-Xiao; Liu, Gang: A global variant of the COCR method for the complex symmetric Sylvester matrix equation (AX+XB=C) (2021)
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