Yan, Tongxin; Ke, Yifen; Ma, Changfeng Adaptive parameter alternating direction algorithm for reflexive solutions of a class of matrix equations. (Chinese. English summary) Zbl 1474.65116 J. Fujian Norm. Univ., Nat. Sci. 37, No. 1, 31-40 (2021). Summary: An adaptive parameter alternating direction iterative algorithm is proposed to solve the reflexive solutions of a class of generalized coupled Sylvester matrix equations. It is proved that the algorithm is convergent under appropriate conditions. The numerical experiments are presented. MSC: 65F45 Numerical methods for matrix equations 15A24 Matrix equations and identities Keywords:Sylvester matrix equation; reflexive solution; iterative algorithm; convergence analysis; numerical experiment PDFBibTeX XMLCite \textit{T. Yan} et al., J. Fujian Norm. Univ., Nat. Sci. 37, No. 1, 31--40 (2021; Zbl 1474.65116) Full Text: DOI