88   Mat         mat, F, RHS, SOLU;  in main()  local
130     PetscCall(MatDuplicate(mat, MAT_COPY_VALUES, &F));  in main()
131     PetscCall(MatCholeskyFactor(F, perm, 0));  in main()
132     PetscCall(MatSolve(F, b, y));  in main()
137     PetscCall(MatMatSolve(F, RHS, SOLU));  in main()
142     PetscCall(MatDestroy(&F));  in main()
148   PetscCall(MatGetFactor(mat, solver, MAT_FACTOR_CHOLESKY, &F));  in main()
149   PetscCall(MatCholeskyFactorSymbolic(F, mat, perm, 0));  in main()
150   PetscCall(MatCholeskyFactorNumeric(F, mat, 0));  in main()
151   PetscCall(MatSolve(F, b, y));  in main()
155   PetscCall(MatDestroy(&F));  in main()
166     PetscCall(MatDuplicate(mat, MAT_COPY_VALUES, &F));  in main()
167     PetscCall(MatLUFactor(F, perm, perm, 0));  in main()
168     PetscCall(MatSolve(F, b, y));  in main()
172     PetscCall(MatMatSolve(F, RHS, SOLU));  in main()
177     PetscCall(MatDestroy(&F));  in main()
182   PetscCall(MatGetFactor(mat, solver, MAT_FACTOR_LU, &F));  in main()
183   PetscCall(MatLUFactorSymbolic(F, mat, perm, perm, 0));  in main()
184   PetscCall(MatLUFactorNumeric(F, mat, 0));  in main()
185   PetscCall(MatSolve(F, b, y));  in main()
192   PetscCall(MatDestroy(&F));  in main()
213       PetscCall(MatDuplicate(mat, MAT_COPY_VALUES, &F));  in main()
214       PetscCall(MatQRFactor(F, NULL, 0));  in main()
215       PetscCall(MatSolve(F, b, y));  in main()
221       PetscCall(MatMatSolve(F, RHS, SOLU2));  in main()
225       PetscCall(MatDestroy(&F));  in main()
230     PetscCall(MatGetFactor(mat, solver, MAT_FACTOR_QR, &F));  in main()
231     PetscCall(MatQRFactorSymbolic(F, mat, NULL, NULL));  in main()
232     PetscCall(MatQRFactorNumeric(F, mat, NULL));  in main()
233     PetscCall(MatSolve(F, b, y));  in main()
241       PetscCall(MatSolveTranspose(F, b, y));  in main()
248     PetscCall(MatDestroy(&F));  in main()