MAGMA  1.5.0
Matrix Algebra for GPU and Multicore Architectures
 All Functions Groups
double precision

Functions

magma_int_t magma_dresidual (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector x, double *res)
 Computes the residual ||b-Ax|| for a solution approximation x. More...
 
magma_int_t magma_d_precond (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_preconditioner precond)
 For a given input matrix A and vectors x, y and the preconditioner parameters, the respective preconditioner is chosen. More...
 
magma_int_t magma_d_precondsetup (magma_d_sparse_matrix A, magma_d_vector b, magma_d_preconditioner *precond)
 For a given input matrix A and vectors x, y and the preconditioner parameters, the respective preconditioner is preprocessed. More...
 
magma_int_t magma_d_applyprecond (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_preconditioner *precond)
 For a given input matrix A and vectors x, y and the preconditioner parameters, the respective preconditioner is applied. More...
 
magma_int_t magma_d_applyprecond_left (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_preconditioner *precond)
 For a given input matrix A and vectors x, y and the preconditioner parameters, the respective left preconditioner is applied. More...
 
magma_int_t magma_d_applyprecond_right (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_preconditioner *precond)
 For a given input matrix A and vectors x, y and the preconditioner parameters, the respective right-preconditioner is applied. More...
 
magma_int_t magma_dnonlinres (magma_d_sparse_matrix A, magma_d_sparse_matrix L, magma_d_sparse_matrix U, magma_d_sparse_matrix *LU, real_Double_t *res)
 Computes the nonlinear residual A- LU and returns the difference as well es the Frobenius norm of the difference. More...
 
magma_int_t magma_dilures (magma_d_sparse_matrix A, magma_d_sparse_matrix L, magma_d_sparse_matrix U, magma_d_sparse_matrix *LU, real_Double_t *res)
 Computes the ILU residual A- LU and returns the difference as well es the Frobenius norm of the difference. More...
 
magma_int_t magma_d_vfree (magma_d_vector *x)
 Free the memory of a magma_d_vector. More...
 
magma_int_t magma_d_mfree (magma_d_sparse_matrix *A)
 Free the memory of a magma_d_sparse_matrix. More...
 
magma_int_t magma_d_vinit (magma_d_vector *x, magma_location_t mem_loc, magma_int_t num_rows, double values)
 Initialize a magma_d_vector. More...
 
magma_int_t magma_drowentries (magma_d_sparse_matrix *A)
 Checks the maximal number of nonzeros in a row of matrix A. More...
 
magma_int_t magma_ddiameter (magma_d_sparse_matrix *A)
 Computes the diameter of a sparse matrix and stores the value in diameter. More...
 
magma_int_t magma_d_csr_compressor (double **val, magma_index_t **row, magma_index_t **col, double **valn, magma_index_t **rown, magma_index_t **coln, magma_int_t *n)
 Helper function to compress CSR containing zero-entries. More...
 
magma_int_t magma_d_mconvert (magma_d_sparse_matrix A, magma_d_sparse_matrix *B, magma_storage_t old_format, magma_storage_t new_format)
 Converter between different sparse storage formats. More...
 
magma_int_t magma_d_LUmergein (magma_d_sparse_matrix L, magma_d_sparse_matrix U, magma_d_sparse_matrix *B)
 Merges an ILU factorization into one matrix. More...
 
magma_int_t magma_d_mtransfer (magma_d_sparse_matrix A, magma_d_sparse_matrix *B, magma_location_t src, magma_location_t dst)
 Copies a matrix from memory location src to memory location dst. More...
 
magma_int_t magma_d_vtransfer (magma_d_vector x, magma_d_vector *y, magma_location_t src, magma_location_t dst)
 Copies a vector from memory location src to memory location dst. More...
 
magma_int_t magma_d_vvisu (magma_d_vector x, magma_int_t offset, magma_int_t visulen)
 Visualizes part of a vector of type magma_d_vector. More...
 
magma_int_t magma_d_vread (magma_d_vector *x, magma_int_t length, char *filename)
 Reads in a double vector of length "length". More...
 
magma_int_t magma_dmgenerator (magma_int_t n, magma_int_t offdiags, magma_index_t *diag_offset, double *diag_vals, magma_d_sparse_matrix *A)
 Generate a symmetric n x n CSR matrix for a stencil. More...
 
magma_int_t magma_dilustruct (magma_d_sparse_matrix *A, magma_int_t levels)
 This routine computes the fill-in structure of an ILU(levels) factorization based on the successive multiplication of upper and lower triangular factors using the CUSPARSE library. More...
 
magma_int_t magma_dmhom (magma_d_sparse_matrix A, magma_int_t b, magma_index_t *p)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t magma_dmscale (magma_d_sparse_matrix *A, magma_scale_t scaling)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t magma_dmdiagadd (magma_d_sparse_matrix *A, double add)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t magma_dmsort (magma_d_sparse_matrix *A)
 Sorts columns and rows for a matrix in COO or CSRCOO format. More...
 
magma_int_t magma_d_initP2P (magma_int_t *bw_bmark, magma_int_t *num_gpus)
 Initializes P2P communication between GPUs. More...
 
magma_int_t magma_dsolverinfo (magma_d_solver_par *solver_par, magma_d_preconditioner *precond_par)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t magma_dsolverinfo_free (magma_d_solver_par *solver_par, magma_d_preconditioner *precond_par)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t magma_dsolverinfo_init (magma_d_solver_par *solver_par, magma_d_preconditioner *precond_par)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t d_transpose_csr (magma_int_t n_rows, magma_int_t n_cols, magma_int_t nnz, double *val, magma_index_t *row, magma_index_t *col, magma_int_t *new_n_rows, magma_int_t *new_n_cols, magma_int_t *new_nnz, double **new_val, magma_index_t **new_row, magma_index_t **new_col)
 Transposes a matrix stored in CSR format. More...
 
magma_int_t magma_d_csrtranspose (magma_d_sparse_matrix A, magma_d_sparse_matrix *B)
 Helper function to transpose CSR matrix. More...
 
magma_int_t magma_d_cucsrtranspose (magma_d_sparse_matrix A, magma_d_sparse_matrix *B)
 Helper function to transpose CSR matrix. More...
 
magma_int_t read_d_csr_from_binary (magma_int_t *n_row, magma_int_t *n_col, magma_int_t *nnz, double **val, magma_index_t **row, magma_index_t **col, const char *filename)
 Reads in a matrix stored in coo format from a binary and converts it into CSR format. More...
 
magma_int_t read_d_csr_from_mtx (magma_storage_t *type, magma_location_t *location, magma_int_t *n_row, magma_int_t *n_col, magma_int_t *nnz, double **val, magma_index_t **row, magma_index_t **col, const char *filename)
 Reads in a matrix stored in coo format from a Matrix Market (.mtx) file and converts it into CSR format. More...
 
magma_int_t write_d_csr_mtx (magma_int_t n_row, magma_int_t n_col, magma_int_t nnz, double **val, magma_index_t **row, magma_index_t **col, magma_order_t MajorType, const char *filename)
 Writes a CSR matrix to a file using Matrix Market format. More...
 
magma_int_t print_d_csr_mtx (magma_int_t n_row, magma_int_t n_col, magma_int_t nnz, double **val, magma_index_t **row, magma_index_t **col, magma_order_t MajorType)
 Prints a CSR matrix in Matrix Market format. More...
 
magma_int_t print_d_csr (magma_int_t n_row, magma_int_t n_col, magma_int_t nnz, double **val, magma_index_t **row, magma_index_t **col)
 Prints a CSR matrix in CSR format. More...
 
magma_int_t magma_d_mvisu (magma_d_sparse_matrix A)
 Prints a sparse matrix in CSR format. More...
 
magma_int_t magma_d_csr_mtx (magma_d_sparse_matrix *A, const char *filename)
 Reads in a matrix stored in coo format from a Matrix Market (.mtx) file and converts it into CSR format. More...
 
magma_int_t magma_d_csr_mtxsymm (magma_d_sparse_matrix *A, const char *filename)
 – MAGMA (version 1.5.0-beta3) – Univ. More...
 
magma_int_t magma_dlobpcg_res (magma_int_t num_rows, magma_int_t num_vecs, double *evalues, double *X, double *R, double *res)
 This routine computes for Block-LOBPCG, the set of residuals. More...
 
magma_int_t magma_dlobpcg_shift (magma_int_t num_rows, magma_int_t num_vecs, magma_int_t shift, double *x)
 For a Block-LOBPCG, the set of residuals (entries consecutive in memory) shrinks and the vectors are shifted in case shift residuals drop below threshold. More...
 
magma_int_t magma_dcopyscale (int n, int k, double *r, double *v, double *skp)
 Computes the correction term of the pipelined GMRES according to P. More...
 
magma_int_t magma_d_spmv_shift (double alpha, magma_d_sparse_matrix A, double lambda, magma_d_vector x, double beta, magma_int_t offset, magma_int_t blocksize, magma_index_t *add_rows, magma_d_vector y)
 For a given input matrix A and vectors x, y and scalars alpha, beta the wrapper determines the suitable SpMV computing y = alpha * ( A - lambda I ) * x + beta * y. More...
 

Detailed Description

Function Documentation

magma_int_t d_transpose_csr ( magma_int_t  n_rows,
magma_int_t  n_cols,
magma_int_t  nnz,
double *  val,
magma_index_t *  row,
magma_index_t *  col,
magma_int_t *  new_n_rows,
magma_int_t *  new_n_cols,
magma_int_t *  new_nnz,
double **  new_val,
magma_index_t **  new_row,
magma_index_t **  new_col 
)

Transposes a matrix stored in CSR format.

Parameters
n_rowsmagma_int_t number of rows in input matrix
n_colsmagma_int_t number of columns in input matrix
nnzmagma_int_t number of nonzeros in input matrix
valdouble* value array of input matrix
rowmagma_index_t* row pointer of input matrix
colmagma_index_t* column indices of input matrix
new_n_rowsmagma_index_t* number of rows in transposed matrix
new_n_colsmagma_index_t* number of columns in transposed matrix
new_nnzmagma_index_t* number of nonzeros in transposed matrix
new_valdouble** value array of transposed matrix
new_rowmagma_index_t** row pointer of transposed matrix
new_colmagma_index_t** column indices of transposed matrix
magma_int_t magma_d_applyprecond ( magma_d_sparse_matrix  A,
magma_d_vector  b,
magma_d_vector *  x,
magma_d_preconditioner *  precond 
)

For a given input matrix A and vectors x, y and the preconditioner parameters, the respective preconditioner is applied.

E.g. for Jacobi: the scaling-vetor, for ILU the triangular solves.

Parameters
Amagma_d_sparse_matrix sparse matrix A
xmagma_d_vector input vector x
ymagma_d_vector input vector y
precondmagma_d_preconditioner preconditioner
magma_int_t magma_d_applyprecond_left ( magma_d_sparse_matrix  A,
magma_d_vector  b,
magma_d_vector *  x,
magma_d_preconditioner *  precond 
)

For a given input matrix A and vectors x, y and the preconditioner parameters, the respective left preconditioner is applied.

E.g. for Jacobi: the scaling-vetor, for ILU the left triangular solve.

Parameters
Amagma_d_sparse_matrix sparse matrix A
xmagma_d_vector input vector x
ymagma_d_vector input vector y
precondmagma_d_preconditioner preconditioner
magma_int_t magma_d_applyprecond_right ( magma_d_sparse_matrix  A,
magma_d_vector  b,
magma_d_vector *  x,
magma_d_preconditioner *  precond 
)

For a given input matrix A and vectors x, y and the preconditioner parameters, the respective right-preconditioner is applied.

E.g. for Jacobi: the scaling-vetor, for ILU the right triangular solve.

Parameters
Amagma_d_sparse_matrix sparse matrix A
xmagma_d_vector input vector x
ymagma_d_vector input vector y
precondmagma_d_preconditioner preconditioner
magma_int_t magma_d_csr_compressor ( double **  val,
magma_index_t **  row,
magma_index_t **  col,
double **  valn,
magma_index_t **  rown,
magma_index_t **  coln,
magma_int_t *  n 
)

Helper function to compress CSR containing zero-entries.

Parameters
valdouble** input val pointer to compress
rowmagma_int_t** input row pointer to modify
colmagma_int_t** input col pointer to compress
valndouble** output val pointer
rownmagma_int_t** output row pointer
colnmagma_int_t** output col pointer
nmagma_int_t* number of rows in matrix
magma_int_t magma_d_csr_mtx ( magma_d_sparse_matrix *  A,
const char *  filename 
)

Reads in a matrix stored in coo format from a Matrix Market (.mtx) file and converts it into CSR format.

It duplicates the off-diagonal entries in the symmetric case.

Parameters
Amagma_d_sparse_matrix* matrix in magma sparse matrix format
filenameconst char* filname of the mtx matrix
magma_int_t magma_d_csr_mtxsymm ( magma_d_sparse_matrix *  A,
const char *  filename 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Reads in a SYMMETRIC matrix stored in coo format from a Matrix Market (.mtx) file and converts it into CSR format. It does not duplicate the off-diagonal entries!

Parameters
Amagma_d_sparse_matrix* matrix in magma sparse matrix format
filenameconst char* filname of the mtx matrix
magma_int_t magma_d_csrtranspose ( magma_d_sparse_matrix  A,
magma_d_sparse_matrix *  B 
)

Helper function to transpose CSR matrix.

Parameters
Amagma_d_sparse_matrix input matrix (CSR)
Bmagma_d_sparse_matrix* output matrix (CSR)
magma_int_t magma_d_cucsrtranspose ( magma_d_sparse_matrix  A,
magma_d_sparse_matrix *  B 
)

Helper function to transpose CSR matrix.

Using the CUSPARSE CSR2CSC function.

Parameters
Amagma_d_sparse_matrix input matrix (CSR)
Bmagma_d_sparse_matrix* output matrix (CSR)
magma_int_t magma_d_initP2P ( magma_int_t *  bw_bmark,
magma_int_t *  num_gpus 
)

Initializes P2P communication between GPUs.

Parameters
bw_bmarkmagma_int_t* input: run the benchmark (1/0)
num_gpusmagma_int_t* output: number of GPUs
magma_int_t magma_d_LUmergein ( magma_d_sparse_matrix  L,
magma_d_sparse_matrix  U,
magma_d_sparse_matrix *  B 
)

Merges an ILU factorization into one matrix.

works only for the symmetric case!!!

Parameters
Lmagma_d_sparse_matrix sparse matrix L
Umagma_d_sparse_matrix sparse matrix U
Bmagma_d_sparse_matrix* output sparse matrix B
magma_int_t magma_d_mconvert ( magma_d_sparse_matrix  A,
magma_d_sparse_matrix *  B,
magma_storage_t  old_format,
magma_storage_t  new_format 
)

Converter between different sparse storage formats.

Parameters
Amagma_d_sparse_matrix sparse matrix A
Bmagma_d_sparse_matrix* copy of A in new format
old_formatmagma_storage_t original storage format
new_formatmagma_storage_t new storage format
magma_int_t magma_d_mfree ( magma_d_sparse_matrix *  A)

Free the memory of a magma_d_sparse_matrix.

Parameters
Amagma_d_sparse_matrix* matrix to free
magma_int_t magma_d_mtransfer ( magma_d_sparse_matrix  A,
magma_d_sparse_matrix *  B,
magma_location_t  src,
magma_location_t  dst 
)

Copies a matrix from memory location src to memory location dst.

Parameters
Amagma_d_sparse_matrix sparse matrix A
Bmagma_d_sparse_matrix* copy of A
srcmagma_location_t original location A
dstmagma_location_t location of the copy of A
magma_int_t magma_d_mvisu ( magma_d_sparse_matrix  A)

Prints a sparse matrix in CSR format.

Parameters
Amagma_d_sparse_matrix sparse matrix in Magma_CSR format
magma_int_t magma_d_precond ( magma_d_sparse_matrix  A,
magma_d_vector  b,
magma_d_vector *  x,
magma_d_preconditioner  precond 
)

For a given input matrix A and vectors x, y and the preconditioner parameters, the respective preconditioner is chosen.

It approximates x for A x = y.

Parameters
Amagma_d_sparse_matrix sparse matrix A
xmagma_d_vector input vector x
ymagma_d_vector input vector y
precondmagma_d_preconditioner preconditioner
magma_int_t magma_d_precondsetup ( magma_d_sparse_matrix  A,
magma_d_vector  b,
magma_d_preconditioner *  precond 
)

For a given input matrix A and vectors x, y and the preconditioner parameters, the respective preconditioner is preprocessed.

E.g. for Jacobi: the scaling-vetor, for ILU the factorization.

Parameters
Amagma_d_sparse_matrix sparse matrix A
xmagma_d_vector input vector x
ymagma_d_vector input vector y
precondmagma_d_preconditioner preconditioner
magma_int_t magma_d_spmv_shift ( double  alpha,
magma_d_sparse_matrix  A,
double  lambda,
magma_d_vector  x,
double  beta,
magma_int_t  offset,
magma_int_t  blocksize,
magma_index_t *  add_rows,
magma_d_vector  y 
)

For a given input matrix A and vectors x, y and scalars alpha, beta the wrapper determines the suitable SpMV computing y = alpha * ( A - lambda I ) * x + beta * y.

Parameters
alphadouble scalar alpha
Amagma_d_sparse_matrix sparse matrix A
lambdadouble scalar lambda
xmagma_d_vector input vector x
betadouble scalar beta
offsetmagma_int_t in case not the main diagonal is scaled
blocksizemagma_int_t in case of processing multiple vectors
add_rowsmagma_int_t* in case the matrixpowerskernel is used
ymagma_d_vector output vector y
magma_int_t magma_d_vfree ( magma_d_vector *  x)

Free the memory of a magma_d_vector.

Parameters
xmagma_d_vector* vector to free
magma_int_t magma_d_vinit ( magma_d_vector *  x,
magma_location_t  mem_loc,
magma_int_t  num_rows,
double  values 
)

Initialize a magma_d_vector.

Parameters
xmagma_d_vector vector to initialize
mem_locmagma_location_t memory for vector
num_rowsmagma_int_t desired length of vector
valuesdouble entries in vector
magma_int_t magma_d_vread ( magma_d_vector *  x,
magma_int_t  length,
char *  filename 
)

Reads in a double vector of length "length".

Parameters
xmagma_d_vector vector to read in
lengthmagma_int_t length of vector
filenamechar* file where vector is stored
magma_int_t magma_d_vtransfer ( magma_d_vector  x,
magma_d_vector *  y,
magma_location_t  src,
magma_location_t  dst 
)

Copies a vector from memory location src to memory location dst.

Parameters
xmagma_d_vector vector x
ymagma_d_vector* copy of x
srcmagma_location_t original location x
dstmagma_location_t location of the copy of x
magma_int_t magma_d_vvisu ( magma_d_vector  x,
magma_int_t  offset,
magma_int_t  visulen 
)

Visualizes part of a vector of type magma_d_vector.

With input vector x , offset, visulen, the entries offset - (offset + visulen) of x are visualized.

Parameters
xmagma_d_vector vector to visualize
offsetmagma_int_t start inex of visualization
visulenmagma_int_t number of entries to visualize
magma_int_t magma_dcopyscale ( int  n,
int  k,
double *  r,
double *  v,
double *  skp 
)

Computes the correction term of the pipelined GMRES according to P.

Ghysels and scales and copies the new search direction

Returns the vector v = r/ ( skp[k] - (sum_i=1^k skp[i]^2) ) .

Parameters
nint length of v_i
kint

skp entries v_i^T * r ( without r )

Parameters
rdouble* vector of length n
vdouble* vector of length n
skpdouble* array of parameters
magma_int_t magma_ddiameter ( magma_d_sparse_matrix *  A)

Computes the diameter of a sparse matrix and stores the value in diameter.

Parameters
Amagma_d_sparse_matrix* sparse matrix
magma_int_t magma_dilures ( magma_d_sparse_matrix  A,
magma_d_sparse_matrix  L,
magma_d_sparse_matrix  U,
magma_d_sparse_matrix *  LU,
real_Double_t *  res 
)

Computes the ILU residual A- LU and returns the difference as well es the Frobenius norm of the difference.

Parameters
Amagma_d_sparse_matrix input sparse matrix in CSR
Lmagma_d_sparse_matrix input sparse matrix in CSR
Umagma_d_sparse_matrix input sparse matrix in CSR
LUmagma_d_sparse_matrix* output sparse matrix in A-LU in CSR
resreal_Double_t* residual
magma_int_t magma_dilustruct ( magma_d_sparse_matrix *  A,
magma_int_t  levels 
)

This routine computes the fill-in structure of an ILU(levels) factorization based on the successive multiplication of upper and lower triangular factors using the CUSPARSE library.

Parameters
Amagma_d_sparse_matrix* matrix in magma sparse matrix format
levelsmagma_int_t fill in level
magma_int_t magma_dlobpcg_res ( magma_int_t  num_rows,
magma_int_t  num_vecs,
double *  evalues,
double *  X,
double *  R,
double *  res 
)

This routine computes for Block-LOBPCG, the set of residuals.

R = Ax - x evalues It replaces: for(int i=0; i < n; i++){ magma_daxpy(m, MAGMA_D_MAKE(-evalues[i],0),blockX+i*m,1,blockR+i*m,1); } The memory layout of x is:

/ x1[0] x2[0] x3[0] \
| x1[1] x2[1] x3[1] |

x = | x1[2] x2[2] x3[2] | = x1[0] x1[1] x1[2] x1[3] x1[4] x2[0] x2[1] . | x1[3] x2[3] x3[3] | \ x1[4] x2[4] x3[4] /

Parameters
num_rowsmagma_int_t number of rows
num_vecsmagma_int_t number of vectors
evaluesdouble* array of eigenvalues/approximations
Xdouble* block of eigenvector approximations
Rdouble* block of residuals
resdouble* array of residuals
magma_int_t magma_dlobpcg_shift ( magma_int_t  num_rows,
magma_int_t  num_vecs,
magma_int_t  shift,
double *  x 
)

For a Block-LOBPCG, the set of residuals (entries consecutive in memory) shrinks and the vectors are shifted in case shift residuals drop below threshold.

The memory layout of x is:

/ x1[0] x2[0] x3[0] \ | x1[1] x2[1] x3[1] | x = | x1[2] x2[2] x3[2] | = x1[0] x2[0] x3[0] x1[1] x2[1] x3[1] x1[2] . | x1[3] x2[3] x3[3] | \ x1[4] x2[4] x3[4] /

Parameters
num_rowsmagma_int_t number of rows
num_vecsmagma_int_t number of vectors
shiftmagma_int_t shift number
xdouble* input/output vector x
magma_int_t magma_dmdiagadd ( magma_d_sparse_matrix *  A,
double  add 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Adds a multiple of the Identity matrix to a matrix: A = A+add * I

Parameters
Amagma_d_sparse_matrix* input/output matrix
adddouble scaling for the identity matrix
magma_int_t magma_dmgenerator ( magma_int_t  n,
magma_int_t  offdiags,
magma_index_t *  diag_offset,
double *  diag_vals,
magma_d_sparse_matrix *  A 
)

Generate a symmetric n x n CSR matrix for a stencil.

Parameters
nmagma_int_t number of rows
offdiagsmagma_int_t number of offdiagonals
diag_offsetmagma_int_t* array containing the offsets
                            (length offsets+1)
diag_valsdouble* array containing the values
                            (length offsets+1)
Amagma_d_sparse_matrix* matrix to generate
magma_int_t magma_dmhom ( magma_d_sparse_matrix  A,
magma_int_t  b,
magma_index_t *  p 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Takes a matrix and a blocksize b to generate a homomorphism that orders the matrix entries according to the subdomains of size b x b. Returns p on the device

example:

/ a 0 0 b 0 \
| 0 c 0 d 0 |

A= | 0 e f g 0 | b = 2 | h 0 0 0 0 | \ i j 0 0 0 /

will generate the projection:

0 2 1 3 4 7 8 9 10 11

according to

a c b d e h f g i j

Parameters
Amagma_d_sparse_matrix input/output matrix
bmagma_int_t blocksize
pmagma_index_t* homomorphism vector containing the indices
magma_int_t magma_dmscale ( magma_d_sparse_matrix *  A,
magma_scale_t  scaling 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Scales a matrix.

Parameters
Amagma_d_sparse_matrix* input/output matrix
scalingmagma_scale_t scaling type (unit rownorm / unit diagonal)
magma_int_t magma_dmsort ( magma_d_sparse_matrix *  A)

Sorts columns and rows for a matrix in COO or CSRCOO format.

Parameters
Amagma_d_sparse_matrix* matrix in magma sparse matrix format
magma_int_t magma_dnonlinres ( magma_d_sparse_matrix  A,
magma_d_sparse_matrix  L,
magma_d_sparse_matrix  U,
magma_d_sparse_matrix *  LU,
real_Double_t *  res 
)

Computes the nonlinear residual A- LU and returns the difference as well es the Frobenius norm of the difference.

Parameters
Amagma_d_sparse_matrix input sparse matrix in CSR
Lmagma_d_sparse_matrix input sparse matrix in CSR
Umagma_d_sparse_matrix input sparse matrix in CSR
LUmagma_d_sparse_matrix* output sparse matrix in A-LU in CSR
resreal_Double_t* residual
magma_int_t magma_dresidual ( magma_d_sparse_matrix  A,
magma_d_vector  b,
magma_d_vector  x,
double *  res 
)

Computes the residual ||b-Ax|| for a solution approximation x.

Parameters
Amagma_d_sparse_matrix input matrix A
bmagma_d_vector RHS b
xmagma_d_vector solution approximation
resdouble* return residual
magma_int_t magma_drowentries ( magma_d_sparse_matrix *  A)

Checks the maximal number of nonzeros in a row of matrix A.

Inserts the data into max_nnz_row.

Parameters
Amagma_d_sparse_matrix* sparse matrix
magma_int_t magma_dsolverinfo ( magma_d_solver_par *  solver_par,
magma_d_preconditioner *  precond_par 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Prints information about a previously called solver.

Parameters
solver_parmagma_d_solver_par* structure containing all solver information
precond_parmagma_d_preconditioner* structure containing all preconditioner information
magma_int_t magma_dsolverinfo_free ( magma_d_solver_par *  solver_par,
magma_d_preconditioner *  precond_par 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Frees any memory assocoiated with the verbose mode of solver_par. The other values are set to default.

Parameters
solver_parmagma_d_solver_par* structure containing all solver information
precond_parmagma_d_preconditioner* structure containing all preconditioner information
magma_int_t magma_dsolverinfo_init ( magma_d_solver_par *  solver_par,
magma_d_preconditioner *  precond_par 
)

– MAGMA (version 1.5.0-beta3) – Univ.

of Tennessee, Knoxville Univ. of California, Berkeley Univ. of Colorado, Denver November 2011

Initializes all solver and preconditioner parameters.

Parameters
solver_parmagma_d_solver_par* structure containing all solver information
precond_parmagma_d_preconditioner* structure containing all preconditioner information
magma_int_t print_d_csr ( magma_int_t  n_row,
magma_int_t  n_col,
magma_int_t  nnz,
double **  val,
magma_index_t **  row,
magma_index_t **  col 
)

Prints a CSR matrix in CSR format.

Parameters
n_rowmagma_int_t* number of rows in matrix
n_colmagma_int_t* number of columns in matrix
nnzmagma_int_t* number of nonzeros in matrix
valdouble** value array of CSR
rowmagma_index_t** row pointer of CSR
colmagma_index_t** column indices of CSR
magma_int_t print_d_csr_mtx ( magma_int_t  n_row,
magma_int_t  n_col,
magma_int_t  nnz,
double **  val,
magma_index_t **  row,
magma_index_t **  col,
magma_order_t  MajorType 
)

Prints a CSR matrix in Matrix Market format.

Parameters
n_rowmagma_int_t* number of rows in matrix
n_colmagma_int_t* number of columns in matrix
nnzmagma_int_t* number of nonzeros in matrix
valdouble** value array of CSR
rowmagma_index_t** row pointer of CSR
colmagma_index_t** column indices of CSR
MajorTypemagma_index_t Row or Column sort default: 0 = RowMajor, 1 = ColMajor
magma_int_t read_d_csr_from_binary ( magma_int_t *  n_row,
magma_int_t *  n_col,
magma_int_t *  nnz,
double **  val,
magma_index_t **  row,
magma_index_t **  col,
const char *  filename 
)

Reads in a matrix stored in coo format from a binary and converts it into CSR format.

It duplicates the off-diagonal entries in the symmetric case.

Parameters
n_rowmagma_int_t* number of rows in matrix
n_colmagma_int_t* number of columns in matrix
nnzmagma_int_t* number of nonzeros in matrix
valdouble** value array of CSR output
rowmagma_index_t** row pointer of CSR output
colmagma_index_t** column indices of CSR output
filenameconst char* filname of the mtx matrix
magma_int_t read_d_csr_from_mtx ( magma_storage_t *  type,
magma_location_t *  location,
magma_int_t *  n_row,
magma_int_t *  n_col,
magma_int_t *  nnz,
double **  val,
magma_index_t **  row,
magma_index_t **  col,
const char *  filename 
)

Reads in a matrix stored in coo format from a Matrix Market (.mtx) file and converts it into CSR format.

It duplicates the off-diagonal entries in the symmetric case.

Parameters
typemagma_storage_t* storage type of matrix
locationmagma_location_t* location of matrix
n_rowmagma_int_t* number of rows in matrix
n_colmagma_int_t* number of columns in matrix
nnzmagma_int_t* number of nonzeros in matrix
valdouble** value array of CSR output
rowmagma_index_t** row pointer of CSR output
colmagma_index_t** column indices of CSR output
filenameconst char* filname of the mtx matrix
magma_int_t write_d_csr_mtx ( magma_int_t  n_row,
magma_int_t  n_col,
magma_int_t  nnz,
double **  val,
magma_index_t **  row,
magma_index_t **  col,
magma_order_t  MajorType,
const char *  filename 
)

Writes a CSR matrix to a file using Matrix Market format.

Parameters
n_rowmagma_int_t* number of rows in matrix
n_colmagma_int_t* number of columns in matrix
nnzmagma_int_t* number of nonzeros in matrix
valdouble** value array of CSR
rowmagma_index_t** row pointer of CSR
colmagma_index_t** column indices of CSR
MajorTypemagma_index_t Row or Column sort default: 0 = RowMajor, 1 = ColMajor
filenameconst char* output-filname of the mtx matrix