HALCON 20.11.0.0 / HALCON Operator Reference / Matrix / Features
ClassesClasses | | Operators

determinant_matrixT_determinant_matrixDeterminantMatrixDeterminantMatrixdeterminant_matrix (Operator)

Name

determinant_matrixT_determinant_matrixDeterminantMatrixDeterminantMatrixdeterminant_matrix — Compute the determinant of a matrix.

Signature

determinant_matrix( : : MatrixID, MatrixType : Value)

Herror T_determinant_matrix(const Htuple MatrixID, const Htuple MatrixType, Htuple* Value)

void DeterminantMatrix(const HTuple& MatrixID, const HTuple& MatrixType, HTuple* Value)

double HMatrix::DeterminantMatrix(const HString& MatrixType) const

double HMatrix::DeterminantMatrix(const char* MatrixType) const

double HMatrix::DeterminantMatrix(const wchar_t* MatrixType) const   (Windows only)

static void HOperatorSet.DeterminantMatrix(HTuple matrixID, HTuple matrixType, out HTuple value)

double HMatrix.DeterminantMatrix(string matrixType)

def determinant_matrix(matrix_id: HHandle, matrix_type: str) -> float

Description

The operator determinant_matrixdeterminant_matrixDeterminantMatrixDeterminantMatrixDeterminantMatrixdeterminant_matrix computes the determinant of the input MatrixMatrixMatrixMatrixmatrixmatrix given by the matrix handle MatrixIDMatrixIDMatrixIDMatrixIDmatrixIDmatrix_id. The type of the input MatrixMatrixMatrixMatrixmatrixmatrix can be selected via the parameter 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, 'tridiagonal'"tridiagonal""tridiagonal""tridiagonal""tridiagonal""tridiagonal" for tridiagonal, '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: ValueValueValueValuevaluevalue = det MatrixMatrixMatrixMatrixmatrixmatrix.

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. For MatrixTypeMatrixTypeMatrixTypeMatrixTypematrixTypematrix_type = 'tridiagonal'"tridiagonal""tridiagonal""tridiagonal""tridiagonal""tridiagonal", only the main diagonal, the superdiagonal, and the subdiagonal of the input MatrixMatrixMatrixMatrixmatrixmatrix are used. The other parts of the matrix are not referenced. If the referenced part of the input MatrixMatrixMatrixMatrixmatrixmatrix is not of the specified type, an exception is raised.

Execution Information

Parameters

MatrixIDMatrixIDMatrixIDMatrixIDmatrixIDmatrix_id (input_control)  matrix → HMatrix, HTupleHHandleHTupleHtuple (handle) (IntPtr) (HHandle) (handle)

Matrix handle of the input matrix.

MatrixTypeMatrixTypeMatrixTypeMatrixTypematrixTypematrix_type (input_control)  string → HTuplestrHTupleHtuple (string) (string) (HString) (char*)

The type of the input matrix.

Default value: 'general' "general" "general" "general" "general" "general"

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", 'tridiagonal'"tridiagonal""tridiagonal""tridiagonal""tridiagonal""tridiagonal", 'upper_triangular'"upper_triangular""upper_triangular""upper_triangular""upper_triangular""upper_triangular"

ValueValueValueValuevaluevalue (output_control)  real → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Determinant of the input matrix.

Result

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

Possible Predecessors

create_matrixcreate_matrixCreateMatrixCreateMatrixCreateMatrixcreate_matrix

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

ClassesClasses | | Operators
HALCON Operator Reference 20.11.0.0 Copyright © 1996-2020 MVTec Software GmbH