PARDISO Version Reference Sheet Fortran
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1 PARDISO Version Reference Sheet Fortran CALL PARDISO(PT, MAXFCT, MNUM, MTYPE, PHASE, N, A, IA, JA, 1 PERM, NRHS, IPARM, MSGLVL, B, X, ERROR, DPARM) 1 Please note that this version differs significantly from Intel s MKL PARDISO version and that some new improvements and features are not available in Intel s MKL 10.3 release.
2 Name Type Input/Output PT (64) INT Internal memory address pointer. I/O MAXFCT INT Number of numerical factorizations in memory. I MNUM INT Actual matrix to factorize. I MTYPE INT Matrix type. I 1 real and structurally symmetric, supernode pivoting 2 real and symmetric positive definite -2 real and symmetric indefinite, diagonal or Bunch-Kaufman pivoting 11 real and nonsymmetric, complete supernode pivoting 3 complex and structurally symmetric, supernode pivoting 4 complex and hermitian positive definite -4 complex and hermitian indefinite, diagonal or Bunch-Kaufman pivoting 6 complex and symmetric 13 complex and nonsymmetric, supernode pivoting PHASE INT Solver Execution Phase. I 11 Analysis 12 Analysis, Numerical Factorization 13 Analysis, Numerical Factorization, Solve, Iterative Refinement 22 Numerical Factorization -22 Selected Inversion 23 Numerical Factorization, Solve, Iterative Refinement 33 Solve, Iterative Refinement -1 Release all internal memory for all matrices 0 Release memory for matrix number MNUM N INT Number of equations. I A ( ) R/C Matrix values. I IA (N+1) INT Beginning of each row. I JA ( ) INT Column indices. I PERM (N) INT User permutation. I NRHS INT Number of right-hand sides. I IPARM (64) INT Control parameters. I/O MSGLVL INT Message level. I 0 No output. 1 Output statistical information B (N, NRHS) R/C Right-hand sides. I/O X (N, NRHS) R/C Solution vectors (see IPARM(6)). O ERROR INT Error indicator. O DPARM (64) REAL Control parameters for iterative solver I/O Table 1: Overview of subroutine arguments.
3 Name IPARM(1) IPARM(2) IPARM(3) Use default options. 0 Set all entries to their default values except IPARM(3). Use METIS reordering. 0 Do not use METIS. 2* Use METIS nested dissection reordering. Number of processors. p Number of OPENMP threads. This must be identical or slightly larger to the environment variable OMP NUM THREADS. IPARM(4) Do preconditioned CGS iterations (see description). Default is 0. IPARM(5) IPARM(6) IPARM(8) Use user permutation. 0* Do not use user perm. 1 Use the permutation provided in argument PERM. Solution on X / B 0* Write solution to X 1 Write solution to B Max. numbers of iterative refinement steps. k=0* Do at most k steps of iterative refinement for all matrices. IPARM(10) eps pivot (perturbation 10 k ). 13* Default for nonsymmetric matrices 8* Default for symmetric indefinite matrices IPARM(11) IPARM(12) IPARM(13) IPARM(18) IPARM(19) Use (non-) symmetric scaling vectors. 0 Do not use. 1* Use (nonsymmetric matrices). 0* Do not use (symmetric matrices). Solve transposed matrix. 0* Do normal solve. 1 Do solve with transposed matrix. Improved accuracy using (non-)symmetric matchings 0 Do not use. 1* Use (nonsymmetric matrices). 2 Use a very robust method for symmetric indefinite matrices. 0* Do not use (symmetric matrices). Number of nonzeros in LU. 0 Do not determine. 1 * Will only be determined if 1 on entry. Gflops for LU factorization. 0 * Do not determine. 1 Will only be determined if 1 on entry. Increases ordering time. Table 2: Overview of input IPARM control parameters. An asterisk (*) indicates the default value.
4 Name IPARM(21) Pivoting for symmetric indefinite matrices. Default is Diagonal Pivoting 1* 1 1 and 2 2 Bunch-Kaufman pivoting. IPARM(24) IPARM(25) IPARM(26) IPARM(28) IPARM(29) IPARM(30) IPARM(31) IPARM(32) IPARM(33) IPARM(34) Parallel Numerical Factorization 0 Do one-level parallel scheduling. 1* Do two-level parallel scheduling. Parallel Forward/Backward Solve 0 Do sequential solve. 1* Do parallel solve. Partial Forward/Backward Solve 0* Do forward/backward solve with L and U. 1 Do forward solve with L or U T. 2 Do backward solve with U or L T. Parallel METIS reordering 0* Do sequential METIS reordering. 1 Do parallel METIS reordering. 32-bit/64-bit IEEE accuracy 0* Use 64-bit IEEE accuracy. 1 Use 32-bit IEEE accuracy. Control size of supernodes 0* Use default configuration. 1 Use use configuration. Partial solve for sparse right-hand sides and sparse solutions 0* Compute all components in the solution vector. 1 Compute only a few selected in the solution vector. Use the multi-recursive iterative linear solver 0* Use sparse direct solver. 1 Use multi-recursive iterative solver. Determinant for real symmetric matrices 0* Do not compute determinant. 1 Compute determinant. Identical solution independent on the number of processors 0* No identical parallel results. 1 Identical parallel results Table 3: Overview of input IPARM control parameters. An asterisk (*) indicates the default value.
5 Name IPARM(36) IPARM(37) IPARM(38) IPARM(51) IPARM(52) Selected inversion for A 1 ij 0* Overwrite internal factor with inverse elements. 1 Do not overwrite internal factor with inverse elements. Selected inversion for A 1 ij for symmetric matrices 0* Return inverse elements in upper triangular symmetric compressed CSR format (1-index based). 1 Return inverse elements in full symmetric compressed CSR format (1-index based). Schur-complement computation 0* Indicates the numbers of rows/columns in S. k Schur-complement matrix S is a k matrix. Use parallel distributed-memory solver 0* Use OpenMP-threaded solver 1 Use Mixed OpenMP-MPI solver Number of nodes for distributed-memory solver 1* For OpenMP-threaded solver p Use p compute nodes Table 4: Overview of input IPARM control parameters. An asterisk (*) indicates the default value. Name IPARM(7) IPARM(14) IPARM(15) Number of iterative refinement steps. Number of perturbed pivots. Peak Memory in KBytes during analysis. IPARM(16) Permanent Memory in KBytes from analysis that is used in phases 2 and 3. IPARM(17) IPARM(18) IPARM(19) IPARM(20) IPARM(22) IPARM(23) IPARM(39) DPARM(33) DPARM(34) DPARM(35) Peak Double Precision Memory in KBytes including one LU Factor. Number of nonzeros in LU. 0 Do not determine. 1 * Will only be determined if 1 on entry. Gflops for LU factorization. 0 * Do not determine. 1 Will only be determined if 1 on entry. Increases ordering time. Numbers of CG Iterations. Number of positive eigenvalues for symmetric indefinite systems. Number of negative eigenvalues for symmetric indefinite systems. Number of nonzeros in Schur-complement matrix S Determinant for real symmetric indefinite matrices. Relative residual after Krylov-Subspace convergence. Number of Krylov-Subspace iterations. Table 5: Overview of output IPARM/DPARM control parameters. An asterisk (*) indicates the default value.
6 Error Information 0 No error. -1 Input inconsistent. -2 Not enough memory. -3 Reordering problem. -4 Zero pivot, numerical fact. or iterative refinement problem. -5 Unclassified (internal) error. -6 Preordering failed (matrix types 11, 13 only). -7 Diagonal matrix problem bit integer overflow problem. -10 No license file pardiso.lic found. -11 License is expired. -12 Wrong username or hostname Reached maximum number of Krylov-subspace iteration in iterative solver No sufficient convergence in Krylov-subspace iteration within 25 iterations Error in Krylov-subspace iteration Break-Down in Krylov-subspace iteration. Table 6: PARDISO Error codes.
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