pow_element_matrixT_pow_element_matrixPowElementMatrixPowElementMatrixpow_element_matrix (Operator)

Name

pow_element_matrixT_pow_element_matrixPowElementMatrixPowElementMatrixpow_element_matrix — Compute the power functions of the elements of a matrix.

Signature

pow_element_matrix( : : MatrixID, MatrixExpID : MatrixPowID)

Description

The operator pow_element_matrixpow_element_matrixPowElementMatrixPowElementMatrixPowElementMatrixpow_element_matrix computes the power of all elements of the input MatrixMatrixMatrixMatrixmatrixmatrix with the elements of the input matrix MatrixExpMatrixExpMatrixExpMatrixExpmatrixExpmatrix_exp. The input matrices MatrixMatrixMatrixMatrixmatrixmatrix and MatrixExpMatrixExpMatrixExpMatrixExpmatrixExpmatrix_exp are defined by the matrix handles MatrixIDMatrixIDMatrixIDMatrixIDmatrixIDmatrix_id and MatrixExpIDMatrixExpIDMatrixExpIDMatrixExpIDmatrixExpIDmatrix_exp_id. Both matrices must have identical dimensions. A new matrix MatrixPowMatrixPowMatrixPowMatrixPowmatrixPowmatrix_pow is generated with the result. The operator returns the matrix handle MatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDmatrixPowIDmatrix_pow_id of the matrix MatrixPowMatrixPowMatrixPowMatrixPowmatrixPowmatrix_pow. Access to the elements of the matrix is possible e.g. with the operator get_full_matrixget_full_matrixGetFullMatrixGetFullMatrixGetFullMatrixget_full_matrix. The formula for the calculation of the result is:

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

MatrixIDMatrixIDMatrixIDMatrixIDmatrixIDmatrix_id (input_control) matrix → (handle)

Matrix handle of the input matrix of the base.

MatrixExpIDMatrixExpIDMatrixExpIDMatrixExpIDmatrixExpIDmatrix_exp_id (input_control) matrix → (handle)

Matrix handle of the input matrix with exponents.

MatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDmatrixPowIDmatrix_pow_id (output_control) matrix → (handle)

Matrix handle with the raised power of the input matrix.

Result

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