The type of the MatrixMatrixMatrixMatrixmatrixmatrix can be selected via
MatrixTypeMatrixTypeMatrixTypeMatrixTypematrixTypematrix_type. The following values are supported:
'general'"general""general""general""general""general" for general, 'symmetric'"symmetric""symmetric""symmetric""symmetric""symmetric" for symmetric,
'positive_definite'"positive_definite""positive_definite""positive_definite""positive_definite""positive_definite" for symmetric positive definite,
'upper_triangular'"upper_triangular""upper_triangular""upper_triangular""upper_triangular""upper_triangular" for upper triangular,
'permuted_upper_triangular'"permuted_upper_triangular""permuted_upper_triangular""permuted_upper_triangular""permuted_upper_triangular""permuted_upper_triangular" for permuted upper triangular,
'lower_triangular'"lower_triangular""lower_triangular""lower_triangular""lower_triangular""lower_triangular" for lower triangular, and
'permuted_lower_triangular'"permuted_lower_triangular""permuted_lower_triangular""permuted_lower_triangular""permuted_lower_triangular""permuted_lower_triangular" for permuted lower triangular
matrices. The formula for the calculation of the
result is:
Example:
Attention
For MatrixTypeMatrixTypeMatrixTypeMatrixTypematrixTypematrix_type = 'symmetric'"symmetric""symmetric""symmetric""symmetric""symmetric",
'positive_definite'"positive_definite""positive_definite""positive_definite""positive_definite""positive_definite", or 'upper_triangular'"upper_triangular""upper_triangular""upper_triangular""upper_triangular""upper_triangular" the
upper triangular part of the input MatrixMatrixMatrixMatrixmatrixmatrix must contain
the relevant information of the matrix. The strictly lower
triangular part of the matrix is not referenced. For
MatrixTypeMatrixTypeMatrixTypeMatrixTypematrixTypematrix_type = 'lower_triangular'"lower_triangular""lower_triangular""lower_triangular""lower_triangular""lower_triangular" the lower
triangular part of the input MatrixMatrixMatrixMatrixmatrixmatrix must contain the
relevant information of the matrix. The strictly upper triangular
part of the matrix is not referenced. If the referenced part of
the input MatrixMatrixMatrixMatrixmatrixmatrix is not of the specified type, an
exception is raised.
pow_matrix_modpow_matrix_modPowMatrixModPowMatrixModPowMatrixModpow_matrix_mod modifies the content of an already
existing matrix.
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:
List of values: 'general'"general""general""general""general""general", 'lower_triangular'"lower_triangular""lower_triangular""lower_triangular""lower_triangular""lower_triangular", 'permuted_lower_triangular'"permuted_lower_triangular""permuted_lower_triangular""permuted_lower_triangular""permuted_lower_triangular""permuted_lower_triangular", 'permuted_upper_triangular'"permuted_upper_triangular""permuted_upper_triangular""permuted_upper_triangular""permuted_upper_triangular""permuted_upper_triangular", 'positive_definite'"positive_definite""positive_definite""positive_definite""positive_definite""positive_definite", 'symmetric'"symmetric""symmetric""symmetric""symmetric""symmetric", 'upper_triangular'"upper_triangular""upper_triangular""upper_triangular""upper_triangular""upper_triangular"
PowerPowerPowerPowerpowerpower (input_control) number →HTupleUnion[int, float]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)
If the parameters are valid, the operator pow_matrix_modpow_matrix_modPowMatrixModPowMatrixModPowMatrixModpow_matrix_mod
returns the value 2 (H_MSG_TRUE). If necessary, an exception is raised.