The scaling conjugate gradient iterative method for two types of linear matrix equations

DOI10.1016/j.camwa.2015.06.030zbMath1443.65058OpenAlexW1230139712MaRDI QIDQ2006253

Ya-Jun Xie, Chang-Feng Ma

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.06.030

zbMATH Keywords

iterative methodKronecker productnumerical testlinear matrix equationsvec operatorscaling conjugate gradient (SCG) method

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Related Items

The relaxed gradient-based iterative algorithms for a class of generalized coupled Sylvester-conjugate matrix equations ⋮ Generalized conjugate direction algorithm for solving general coupled Sylvester matrix equations ⋮ Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ The relaxed gradient based iterative algorithm for solving matrix equations \(A_iXB_i=F_i\) ⋮ Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices ⋮ Gradient-based iterative algorithms for generalized coupled Sylvester-conjugate matrix equations ⋮ Finite iterative Hermitian \(R\)-conjugate solutions of the generalized coupled Sylvester-conjugate matrix equations ⋮ Conjugate gradient-like algorithms for constrained operator equation related to quadratic inverse eigenvalue problems ⋮ Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm

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