mult_matrix_modmult_matrix_modMultMatrixModmult_matrix_modMultMatrixModMultMatrixMod (Operator)

Name

mult_matrix_modmult_matrix_modMultMatrixModmult_matrix_modMultMatrixModMultMatrixMod — Multiply two matrices.

Signature

Description

The operator mult_matrixmult_matrixMultMatrixmult_matrixMultMatrixMultMatrix computes the product of the input matrices MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA and MatrixBMatrixBMatrixBMatrixBMatrixBmatrixB defined by the matrix handles MatrixAIDMatrixAIDMatrixAIDMatrixAIDMatrixAIDmatrixAID and MatrixBIDMatrixBIDMatrixBIDMatrixBIDMatrixBIDmatrixBID. The input matrix MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA is overwritten with the result. Access to the elements of the matrix is possible e.g. with the operator get_full_matrixget_full_matrixGetFullMatrixget_full_matrixGetFullMatrixGetFullMatrix. If desired, one or both input matrices will be transposed for the multiplication.

The type of multiplication can be selected via MultTypeMultTypeMultTypeMultTypeMultTypemultType:

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

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

    MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA = MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA * MatrixBMatrixBMatrixBMatrixBMatrixBmatrixB.
  

The number of columns of the matrix MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA must be identical to the number of rows of the matrix MatrixBMatrixBMatrixBMatrixBMatrixBmatrixB.

Example:

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

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

The number of rows of the matrix MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA must be identical to the number of rows of the matrix MatrixBMatrixBMatrixBMatrixBMatrixBmatrixB.

Example:

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

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

The number of columns of the matrix MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA must be identical to the number of columns of the matrix MatrixBMatrixBMatrixBMatrixBMatrixBmatrixB.

Example:

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

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

The number of rows of the matrix MatrixAMatrixAMatrixAMatrixAMatrixAmatrixA must be identical to the number of columns of the matrix MatrixBMatrixBMatrixBMatrixBMatrixBmatrixB.

Example:

Parallelization

• 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:

• MatrixAIDMatrixAIDMatrixAIDMatrixAIDMatrixAIDmatrixAID

Parameters

Result

If the parameters are valid, the operator mult_matrix_modmult_matrix_modMultMatrixModmult_matrix_modMultMatrixModMultMatrixMod returns the value 2 (H_MSG_TRUE). If necessary, an exception is raised.

Possible Predecessors

create_matrixcreate_matrixCreateMatrixcreate_matrixCreateMatrixCreateMatrix

Possible Successors

get_full_matrixget_full_matrixGetFullMatrixget_full_matrixGetFullMatrixGetFullMatrix, get_value_matrixget_value_matrixGetValueMatrixget_value_matrixGetValueMatrixGetValueMatrix

Alternatives

mult_matrixmult_matrixMultMatrixmult_matrixMultMatrixMultMatrix

See also

mult_element_matrixmult_element_matrixMultElementMatrixmult_element_matrixMultElementMatrixMultElementMatrix, mult_element_matrix_modmult_element_matrix_modMultElementMatrixModmult_element_matrix_modMultElementMatrixModMultElementMatrixMod, div_element_matrixdiv_element_matrixDivElementMatrixdiv_element_matrixDivElementMatrixDivElementMatrix, div_element_matrix_moddiv_element_matrix_modDivElementMatrixModdiv_element_matrix_modDivElementMatrixModDivElementMatrixMod, transpose_matrixtranspose_matrixTransposeMatrixtranspose_matrixTransposeMatrixTransposeMatrix, transpose_matrix_modtranspose_matrix_modTransposeMatrixModtranspose_matrix_modTransposeMatrixModTransposeMatrixMod

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