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M. Robb and M. Sadkane, “Use of Near-Breakdowns in the Block Arnoldi Method for Solving Large Sylvester Equations,” Applied Numerical Mathematics, Vol. 58, No. 4, 2008, pp. 486-498. doi:10.1016/j.apnum.2007.01.025

has been cited by the following article:

• TITLE: A New Iterative Scheme for Solving the Semi Sylvester Equation

  AUTHORS: Saeed Karimi, Fatemeh Attarzadeh

  KEYWORDS: Iterative Method; Multiple Linear Systems; Galerkin Projection Method; L-GL-LSQR Algorithm

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 25, 2013

  ABSTRACT: In this paper, the Galerkin projection method is used for solving the semi Sylvester equation. Firstly the semi Sylvester equation is reduced to the multiple linear systems. To apply the Galerkin projection method, some propositions are presented. The presented scheme is compared with the L-GL-LSQR algorithm in point of view CPU-time and iteration number. Finally, some numerical experiments are presented to show that the efficiency of the new scheme.