mkl_?imatcopy

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

mkl_?imatcopy_batch

Computes a group of in-place scaled matrix copy or transposition operations on general matrices.

Syntax

void mkl_simatcopy_batch(char layout, const char *trans_array, const size_t *rows_array,
                         const size_t *cols_array, const float *alpha_array,
                         float **ab_array, const size_t *lda_array,
                         const size_t *ldb_array, size_t group_count,
                         const size_t *group_size);

void mkl_dimatcopy_batch(char layout, const char *trans_array, const size_t *rows_array,
                         const size_t *cols_array, const double *alpha_array,
                         double **ab_array, const size_t *lda_array,
                         const size_t *ldb_array, size_t group_count,
                         const size_t *group_size);

void mkl_cimatcopy_batch(char layout, const char *trans_array, const size_t *rows_array,
                         const size_t *cols_array, const MKL_Complex8 *alpha_array,
                         MKL_Complex8 **ab_array, const size_t *lda_array,
                         const size_t *ldb_array, size_t group_count,
                         const size_t *group_size);

void mkl_zimatcopy_batch(char layout, const char *trans_array, const size_t *rows_array,
                         const size_t *cols_array, const MKL_Complex16 *alpha_array,
                         MKL_Complex16 **ab_array, const size_t *lda_array,
                         const size_t *ldb_array, size_t group_count,
                         const size_t *group_size);

Include Files

mkl.h

Description

The mkl_?imatcopy_batch routine performs a series of in-place scaled matrix copies or transpositions. They are similar to the mkl_?imatcopy routine counterparts, but the mkl_?imatcopy_batch routine performs matrix operations with groups of matrices. Each group has the same parameters (matrix size, leading dimension, and scaling parameter), but a single call to mkl_?imatcopy_batch operates on multiple groups, and each group can have different parameters, unlike the related mkl_?imatcopy_batch_strided routines.

The operation is defined as

idx = 0
for i = 0..group_count - 1
     m in rows_array[i], n in cols_array[i], and alpha in alpha_array[i]
     for j = 0..group_size[i] - 1
          AB matrices in AB_array[idx]
          AB := alpha*op(AB)
          idx = idx + 1
     end for
end for

Where op(X) is one of op(X)=X , op(X)=X' , op(X)=conjg(X') , or op(X)=conjg(X) . On entry, AB is a m -by- n matrix such that m and n are elements of rows_array and cols_array .

AB represents a matrix stored at addresses pointed to by AB_array . The number of entries in AB_array is total_batch_count = the sum of all of the group_size entries.

Input Parameters

layout

Specifies whether two-dimensional array storage is row-major (R) or column-major (C).

trans_array

Array of size group_count . For the group i , trans = trans_array [ i ] specifies the form of op(AB) , the transposition operation applied to the AB matrix: If trans = ‘N’ or ‘n’ , op(AB)=AB . If trans = ‘T’ or ‘t’ , op(AB)=AB' If trans = ‘C’ or ‘c’ , op(AB)=conjg(AB') If trans = ‘R’ or ‘r’ , op(AB)=conjg(AB)

rows_array

Array of size group_count . Specifies the number of rows of the input matrix AB . The value of each element must be at least zero.

cols_array

Array of size group_count . Specifies the number of columns of the input matrix AB . The value of each element must be at least zero.

alpha_array: REAL for mkl_simatcopy_batch . DOUBLE PRECISION for mkl_dimatcopy_batch . COMPLEX for mkl_cimatcopy_batch . DOUBLE COMPLEX for mkl_zimatcopy_batch . Array of size group_count . Specifies the scalar alpha .
AB_array: INTEGER*8 for Intel® 64 architecture. Array of size total_batch_count , holding pointers to arrays used to store AB matrices.

lda_array

Array of size group_count . The leading dimension of the matrix input AB . It must be positive and at least m if column major layout is used or at least n if row major layout is used.

ldb_array

Array of size group_count . The leading dimension of the matrix input AB . It must be positive and at least

m if column major layout is used and op(AB) = AB or conjg(AB)n if row major layout is used and op(AB) = AB' or conjg(AB')n otherwise

group_count

Specifies the number of groups. Must be at least 0

group_size

Array of size group_count . The element group_size [ i ] specifies the number of matrices in group i . Each element in group_size must be at least 0.

Output Parameters

AB_array: INTEGER*8 for Intel® 64 architecture. Output array of size total_batch_count , holding pointers to arrays used to store the updated AB matrices.

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