Solution of Non-Symmetric, Sparse Linear Systems by RangeRestricted Generalized Minimal Residual Method

Range restricted generalized minimal residual method(RRGMRES) is a variant of GMRES for solving linear equations with singleright side which looks for the solution through the range of square matrix 𝑨.Herein a global version of the RRGMRES is proposed for solving of nonsymmetric,sparse linear systems with multiple right. Numerical resultsconfirm that this new algorithm is applicable