Modified Jacobi-Gradient Iterative Method for Generalized Sylvester Matrix Equation

اسناد مشابه

• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle

  سند علمی۲۰۰۸Applied Mathematics and ComputationFeng Ding, Peter Xiaoping Liu, Jie Ding

  In this paper, by extending the well-known Jacobi and Gauss–Seidel iterations for Ax = b, we study iterative solutions of matrix equations AXB = F and generalized Sylvester matrix equations AXB + CXD = F (including the Sylvester equation AX + XB = F as a special case), and presen

• global conjugate gradient method for solving large general sylvester matrix equation

  مقاله۲۰۱۳journal of mathematical modelingsaeed karimi

  in this paper, an iterative method is proposed for solving large general sylvester matrix equation $axb+cxd = e$, where $a in r^{ntimes n}$ , $c in r^{ntimes n}$ , $b in r^{stimes s}$ and $d in r^{stimes s}$ are given matrices and $x in r^{stimes s}$ is the unknown matrix. we pre

• Global conjugate gradient method for solving large general Sylvester matrix equation

  مقاله۲۰۱۳Journal of Mathematical ModelingSaeed Karimi

  In this paper, an iterative method is proposed for solving large general Sylvester matrix equation $AXB+CXD = E$, where $A \in R^{n\times n}$ , $C \in R^{n\times n}$ , $B \in R^{s\times s}$ and $D \in R^{s\times s}$ are given matrices and $X \in R^{s\times s}$ is the unknown matr

• theoretical results on the global gmres method for solving generalized sylvester matrix‎ ‎equations

  مقاله۲۰۱۴bulletin of the iranian mathematical societyf. panjeh ali beik

  ‎the global generalized minimum residual (gl-gmres)‎ ‎method is examined for solving the generalized sylvester matrix equation‎ ‎[sumlimits_{i = 1}^q {a_i } xb_i = c.]‎ ‎some new theoretical results are elaborated for‎ ‎the proposed method by employing the schur complement‎. ‎the

• Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations

  مقاله۲۰۱۴Bulletin of the Iranian Mathematical SocietyF. Panjeh Ali Beik

  The global generalized minimum residual (Gl-GMRES) method is examined for solving the generalized Sylvester matrix equation \[\sum\limits_{i = 1}^q {A_i } XB_i = C.\] Some new theoretical results are elaborated for the proposed method by employing the Schur complement. These resu

• An iterative scheme for a class of generalized Sylvester matrix equations

  مقاله۲۰۲۴AUT Journal of Mathematics and ComputingMehdi Dehghan, Gholamreza Karamali, Akbar Shirilord

  In this study based on the accelerated over relaxation (AOR) method we make an iterative scheme for solving generalized Lyapunov matrix equation$$ {A}{X}+{X}{B}+\sum_{j=1}^{m}{N}_j{X}{M}_j={C},$$over complex or real matrices. Then we analyze the convergence of the new iterative m