mult_matrix_modT_mult_matrix_modMultMatrixModMultMatrixModmult_matrix_mod (Operator)

Name

mult_matrix_modT_mult_matrix_modMultMatrixModMultMatrixModmult_matrix_mod — 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. The input matrix MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a is overwritten with the result. 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:

MatrixAMatrixAMatrixAMatrixAmatrixAmatrix_a = 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.

This operator modifies the state of the following input parameter:

• MatrixAIDMatrixAIDMatrixAIDMatrixAIDmatrixAIDmatrix_aid

During execution of this operator, access to the value of this parameter must be synchronized if it is used across multiple threads.

Parameters

Result

If the parameters are valid, the operator mult_matrix_modmult_matrix_modMultMatrixModMultMatrixModMultMatrixModmult_matrix_mod 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_matrixmult_matrixMultMatrixMultMatrixMultMatrixmult_matrix

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