pow_element_matrixpow_element_matrixPowElementMatrixpow_element_matrixPowElementMatrixPowElementMatrix (Operator)

Name

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

Signature

pow_element_matrix( : : MatrixID, MatrixExpID : MatrixPowID)

The operator pow_element_matrixpow_element_matrixPowElementMatrixpow_element_matrixPowElementMatrixPowElementMatrix computes the power of all elements of the input MatrixMatrixMatrixMatrixMatrixmatrix with the elements of the input matrix MatrixExpMatrixExpMatrixExpMatrixExpMatrixExpmatrixExp. The input matrices MatrixMatrixMatrixMatrixMatrixmatrix and MatrixExpMatrixExpMatrixExpMatrixExpMatrixExpmatrixExp are defined by the matrix handles MatrixIDMatrixIDMatrixIDMatrixIDMatrixIDmatrixID and MatrixExpIDMatrixExpIDMatrixExpIDMatrixExpIDMatrixExpIDmatrixExpID. Both matrices must have identical dimensions. A new matrix MatrixPowMatrixPowMatrixPowMatrixPowMatrixPowmatrixPow is generated with the result. The operator returns the matrix handle MatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDmatrixPowID of the matrix MatrixPowMatrixPowMatrixPowMatrixPowMatrixPowmatrixPow. Access to the elements of the matrix is possible e.g. with the operator get_full_matrixget_full_matrixGetFullMatrixget_full_matrixGetFullMatrixGetFullMatrix. The formula for the calculation of the result is:


                          MatrixExp
                                   ij
  MatrixPow   =   Matrix              .
           ij           ij

Example:


           / 3.0  1.0  2.0 \                 / 1.0  2.0  2.0 \
  Matrix = | 5.0  7.0  2.0 |      PowerExp = | 2.0  0.0  3.0 |
           \ 9.0  4.0  1.0 /                 \ 0.5  3.0  1.0 /

                    /  3.0   1.0   4.0 \
  ->    MatrixPow = | 25.0   1.0   8.0 |
                    \  3.0  64.0   1.0 /

Parallelization

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

Parameters

MatrixIDMatrixIDMatrixIDMatrixIDMatrixIDmatrixID (input_control) matrix → (integer)

Matrix handle of the input matrix of the base.

MatrixExpIDMatrixExpIDMatrixExpIDMatrixExpIDMatrixExpIDmatrixExpID (input_control) matrix → (integer)

Matrix handle of the input matrix with exponents.

MatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDmatrixPowID (output_control) matrix → (integer)

Matrix handle with the raised power of the input matrix.

Result

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