pow_matrixT_pow_matrixPowMatrixPowMatrixpow_matrix (算子)

名称

pow_matrixT_pow_matrixPowMatrixPowMatrixpow_matrix — 计算矩阵的幂函数。

签名

描述

算子 pow_matrixpow_matrixPowMatrixPowMatrixPowMatrixpow_matrix computes the power of the input Matrix by a constant value. The input Matrix is given by the matrix handle MatrixIDMatrixIDMatrixIDMatrixIDmatrixIDmatrix_id. The power value is given by the parameter PowerPowerPowerPowerpowerpower. A new matrix MatrixPow is generated with the result. The operator returns the matrix handle MatrixPowIDMatrixPowIDMatrixPowIDMatrixPowIDmatrixPowIDmatrix_pow_id of the matrix MatrixPow.可通过算子 get_full_matrixget_full_matrixGetFullMatrixGetFullMatrixGetFullMatrixget_full_matrix 等方式访问该矩阵的元素。

The type of the Matrix 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. 结果的计算公式为：

示例：

PowerPowerPowerPowerpowerpower = [2.0], MatrixTypeMatrixTypeMatrixTypeMatrixTypematrixTypematrix_type = 'general'"general""general""general""general""general"

注意

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 Matrix 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 Matrix 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 Matrix is not of the specified type, an exception is raised.

执行信息

• 多线程类型：可重入（与非独占算子并行运行）。
• 多线程作用域：全局（可从任何线程调用）。
• 未采用并行化处理。

参数

结果

如果参数有效，算子 pow_matrixpow_matrixPowMatrixPowMatrixPowMatrixpow_matrix 返回值 2 ( H_MSG_TRUE )。如有必要，则抛出异常。

可能的前趋

create_matrixcreate_matrixCreateMatrixCreateMatrixCreateMatrixcreate_matrix

可能的后继

get_full_matrixget_full_matrixGetFullMatrixGetFullMatrixGetFullMatrixget_full_matrix, get_value_matrixget_value_matrixGetValueMatrixGetValueMatrixGetValueMatrixget_value_matrix

替代

pow_matrix_modpow_matrix_modPowMatrixModPowMatrixModPowMatrixModpow_matrix_mod, eigenvalues_symmetric_matrixeigenvalues_symmetric_matrixEigenvaluesSymmetricMatrixEigenvaluesSymmetricMatrixEigenvaluesSymmetricMatrixeigenvalues_symmetric_matrix, eigenvalues_general_matrixeigenvalues_general_matrixEigenvaluesGeneralMatrixEigenvaluesGeneralMatrixEigenvaluesGeneralMatrixeigenvalues_general_matrix

另见

sqrt_matrixsqrt_matrixSqrtMatrixSqrtMatrixSqrtMatrixsqrt_matrix, sqrt_matrix_modsqrt_matrix_modSqrtMatrixModSqrtMatrixModSqrtMatrixModsqrt_matrix_mod

模块

基础