mult_matrixT_mult_matrixMultMatrixMultMatrixmult_matrix (Operator)

Name

mult_matrixT_mult_matrixMultMatrixMultMatrixmult_matrix — Multiply two matrices.

Signature

Description

The operator mult_matrixmult_matrixMultMatrixMultMatrixMultMatrixmult_matrix computes the product of the input matrices MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a and MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b defined by the matrix handles MatrixAIDMatrixAIDMatrixAIDMatrixAIDmatrixAIDmatrix_aid and MatrixBIDMatrixBIDMatrixBIDMatrixBIDmatrixBIDmatrix_bid. A new matrix MatrixMultMatrixMultMatrixMultMatrixMultmatrixMultmatrix_mult is generated with the result. The operator returns the matrix handle MatrixMultIDMatrixMultIDMatrixMultIDMatrixMultIDmatrixMultIDmatrix_mult_id of the matrix MatrixMultMatrixMultMatrixMultMatrixMultmatrixMultmatrix_mult. Access to the elements of the matrix is possible e.g. with the operator get_full_matrixget_full_matrixGetFullMatrixGetFullMatrixGetFullMatrixget_full_matrix. If desired, one or both input matrices will be transposed for the multiplication.

The type of multiplication can be selected via MultTypeMultTypeMultTypeMultTypemultTypemult_type:

'AB'"AB""AB""AB""AB""AB":

The matrices MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a and MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b will not be transposed. Therefore, the formula for the calculation of the result is:

MatrixMultMatrixMultMatrixMultMatrixMultmatrixMultmatrix_mult = MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a * MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b.

The number of columns of the matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a must be identical to the number of rows of the matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b.

Example:

'ATB'"ATB""ATB""ATB""ATB""ATB":

The matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a will be transposed. The matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b will not be transposed. Therefore, the formula for the calculation of the result is:

The number of rows of the matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a must be identical to the number of rows of the matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b.

Example:

'ABT'"ABT""ABT""ABT""ABT""ABT":

The matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a will not be transposed. The matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b will be transposed. Therefore, the formula for the calculation of the result is:

The number of columns of the matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a must be identical to the number of columns of the matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b.

Example:

'ATBT'"ATBT""ATBT""ATBT""ATBT""ATBT":

The matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a and the matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b will be transposed. Therefore, the formula for the calculation of the result is:

The number of rows of the matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a must be identical to the number of columns of the matrix MatrixBMatrixBMatrixBMatrixBmatrixBmatrix_b.

Example:

Execution Information

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Processed without parallelization.

Parameters

Result

If the parameters are valid, the operator mult_matrixmult_matrixMultMatrixMultMatrixMultMatrixmult_matrix returns the value TRUE. If necessary, an exception is raised.

Possible Predecessors

create_matrixcreate_matrixCreateMatrixCreateMatrixCreateMatrixcreate_matrix

Possible Successors

get_full_matrixget_full_matrixGetFullMatrixGetFullMatrixGetFullMatrixget_full_matrix, get_value_matrixget_value_matrixGetValueMatrixGetValueMatrixGetValueMatrixget_value_matrix

Alternatives

mult_matrix_modmult_matrix_modMultMatrixModMultMatrixModMultMatrixModmult_matrix_mod

See also

mult_element_matrixmult_element_matrixMultElementMatrixMultElementMatrixMultElementMatrixmult_element_matrix, mult_element_matrix_modmult_element_matrix_modMultElementMatrixModMultElementMatrixModMultElementMatrixModmult_element_matrix_mod, div_element_matrixdiv_element_matrixDivElementMatrixDivElementMatrixDivElementMatrixdiv_element_matrix, div_element_matrix_moddiv_element_matrix_modDivElementMatrixModDivElementMatrixModDivElementMatrixModdiv_element_matrix_mod, transpose_matrixtranspose_matrixTransposeMatrixTransposeMatrixTransposeMatrixtranspose_matrix, transpose_matrix_modtranspose_matrix_modTransposeMatrixModTransposeMatrixModTransposeMatrixModtranspose_matrix_mod

References

David Poole: “Linear Algebra: A Modern Introduction”; Thomson; Belmont; 2006.
Gene H. Golub, Charles F. van Loan: “Matrix Computations”; The Johns Hopkins University Press; Baltimore and London; 1996.

Module

Foundation