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lsolve(1) Utility Commands lsolve(1) NAME lsolve - linear solver for sparse matrices SYNOPSIS lsolve matrix_filename rhs_setting solution_filename rhistory_filename [options] DESCRIPTION This program inputs the data of the coefficient matrix from ma- trix_filename and solves the linear equation A*x = b with the solver specified by options. It outputs the solution to solution_filename in the extended Matrix Market format and the residual history to rhis- tory_filename in the PLAIN format (see Appendix of the Lis User Guide). Both the extended Matrix Market format and the Harwell-Boeing format are supported for the matrix filename. One of the following values can be specified by rhs_setting: 0 Use the right hand side vector b included in matrix_filename 1 Use b = (1, ..., 1)^T 2 Use b = A * (1, ..., 1)^T rhs_filename The filename for the right-hand side vector The PLAIN and Matrix Market formats are supported for rhs_filename. OPTIONS The following options are supported: -i linear solver The following options are supported for linear solver: -i {cg|1} CG -i {bicg|2} BiCG -i {cgs|3} CGS -i {bicgstab|4} BiCGSTAB -i {bicgstabl|5} BiCGSTAB(l) -ell [2] The degree l -i {gpbicg|6} GPBiCG -i {tfqmr|7} TFQMR -i {orthomin|8} Orthomin(m) -restart [40] The restart value m -i {gmres|9} GMRES(m) -restart [40] The restart value m -i {jacobi|10} Jacobi -i {gs|11} Gauss-Seidel -i {sor|12} SOR -omega [1.9] The relaxation coefficient omega (0<omega<2) -i {bicgsafe|13} BiCGSafe -i {cr|14} CR -i {bicr|15} BiCR -i {crs|16} CRS -i {bicrstab|17} BiCRSTAB -i {gpbicr|18} GPBiCR -i {bicrsafe|19} BiCRSafe -i {fgmres|20} FGMRES(m) -restart [40] The restart value m -i {idrs|21} IDR(s) -irestart [2] The restart value s -i {idr1|22} IDR(1) -i {minres|23} MINRES -i {COCG|24} COCG -i {COCR|25} COCR -p preconditioner The following options are supported for preconditioner: -p {none|0} None -p {jacobi|1} Jacobi -p {ilu|2} ILU(k) -ilu_fill [0] The fill level k -p {ssor|3} SSOR -ssor_omega [1.0] The relaxation coefficient omega (0<omega<2) -p {hybrid|4} Hybrid -hybrid_i [sor] The linear solver -hybrid_maxiter [25] The maximum number of the iterations -hybrid_tol [1.0e-3] The convergence criterion -hybrid_omega [1.5] The relaxation coefficient omega of the SOR (0<omega<2) -hybrid_ell [2] The degree l of the BiCGSTAB(l) -hybrid_restart [40] The restart values of the GMRES and Orthomin -p {is|5} I+S -is_alpha [1.0] The parameter alpha of I+alpha*S(m) -is_m [3] The parameter m of I+alpha*S(m) -p {sainv|6} SAINV -sainv_drop [0.05] The drop criterion -p {saamg|7} SA-AMG -saamg_unsym [false] Select the unsymmetric version (The matrix struc- ture must be symmetric) -saamg_theta [0.05|0.12] The drop criterion -p {iluc|8} Crout ILU -iluc_drop [0.05] The drop criterion -iluc_rate [5.0] The ration of maximum fill-in -p {ilut|9} ILUT -ilut_drop [0.05] The drop criterion -ilut_rate [5.0] The ration of maximum fill-in -adds true Additive Schwarz -adds_iter [1] The number of the iteration Other Options: -maxiter [1000] The maximum number of the iterations -tol [1.0e-12] The convergence criterion -print [0] The output of the residual history -print {none|0} None -print {mem|1} Save the residual history -print {out|2} Output it to the standard output -print {all|3} Save the residual history and output it to the standard output -scale [0] The scaling -scale {none|0} No scaling -scale {jacobi|1} The Jacobi scaling -scale {symm_diag|2} The diagonal scaling -initx_zeros [true] The behavior of the initial vector x_0 -initx_zero {false|0} Given values -initx_zero {true|1} All values are set to 0 -omp_num_threads [t] The number of the threads (t represents the maximum number of the threads) -storage [0] The matrix storage format -storage_block [2] The block size of the BSR and BSC formats -f [0] The precision of the linear solver -f {double|0} Double precision -f {quad|1} Double-double (quadruple) precision See Lis User Guide for full description. EXIT STATUS The following exit values are returned: 0 The process is normally terminated unspecified An error occurred SEE ALSO lis(3), esolve(1), hpcg_kernel(1), hpcg_spmvtest(1), spmvtest1(1), sp- mvtest2(1), spmvtest2b(1), spmvtest3(1), spmvtest3b(1), spmvtest4(1), spmvtest5(1) http://www.ssisc.org/lis/ http://math.nist.gov/MatrixMarket/ Man Page 14 Sep 2017 lsolve(1)
NAME | SYNOPSIS | DESCRIPTION | OPTIONS | EXIT STATUS | SEE ALSO
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