Tools/Math/Matrix_nxn.h File Reference

Contains class Matrix_nxn. More...

#include "MVTools.h"
#include "Vector_n.h"

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Classes
class	Matrix_nxn
	Represents a nxn matrix of type T. More...
Defines
#define	MATRIX_NXN_HEAP
Functions
template<class T, size_t N> Matrix_nxn< T, N >	operator * (const Matrix_nxn< T, N > &m1, const Matrix_nxn< T, N > &m2)
	Operator * for matrix-matrix multiplication.
template<class T, size_t N> Matrix_nxn< T, N >	invert (const Matrix_nxn< T, N > &m)
	Inverts the passed matrix.
template<class T, size_t N> Matrix_nxn< T, N >	operator+ (const Matrix_nxn< T, N > &m1, const Matrix_nxn< T, N > &m2)
	Operator + for matrix additions.
template<class T, size_t N> Matrix_nxn< T, N >	operator- (const Matrix_nxn< T, N > &m1, const Matrix_nxn< T, N > &m2)
	Operator - for matrix subtractions.
template<class T, size_t N> Vector_n< T, N >	operator * (const Matrix_nxn< T, N > &m, const Vector_n< T, N > &v)
	Operator * for matrix-vector multiplication.
template<class T, size_t N> Matrix_nxn< T, N >	transpose (const Matrix_nxn< T, N > &m)
	Transposes a matrix.
template<class T, size_t N> Matrix_nxn< T, N >	eye_nxn ()
	Creates an identity matrix.
template<class T, size_t N> Matrix_nxn< T, N >	invert2 (const Matrix_nxn< T, N > &m)
	Inverts the passed matrix.
template<class T, size_t N> Matrix_nxn< T, N >	operator/ (const Matrix_nxn< T, N > &m1, const Matrix_nxn< T, N > &m2)
	Divides first matrix by second matrix (multiplicates with inverse of second matrix).
template<class T, size_t N> T	det (const Matrix_nxn< T, N > &m)
	Returns determinant of the passed matrix.

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Detailed Description

Contains class Matrix_nxn.

Author:

Stefan Uhrig

Definition in file Matrix_nxn.h.

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Define Documentation

#define MATRIX_NXN_HEAP

Definition at line 11 of file Matrix_nxn.h.

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Function Documentation

template<class T, size_t N> Matrix_nxn< T, N > operator * (  const Matrix_nxn< T, N > &  m1, const Matrix_nxn< T, N > &  m2 )

Operator * for matrix-matrix multiplication. Parameters: m1  First matrix m2  Second matrix Returns: m1*m2 Complexity: n^3 Definition at line 579 of file Matrix_nxn.h. References MVTools::isNearInf(), and MVTools::isNearPosInf().

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template<class T, size_t N> Matrix_nxn< T, N > invert (  const Matrix_nxn< T, N > &  m  )

Inverts the passed matrix. Matrix must not be singular Parameters: m  Matrix to be inverted Returns: Inverted matrix Complexity: n^3 Definition at line 674 of file Matrix_nxn.h. References MVTools::isNearInf(), MVTools::isNearNegZero(), MVTools::isNearPosInf(), and MVTools::isNearZero(). Referenced by operator/(), KalmanFixedPositionModel::update(), and KalmanConstantSpeedModel::update().

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template<class T, size_t N> Matrix_nxn<T, N> operator+ (  const Matrix_nxn< T, N > &  m1, const Matrix_nxn< T, N > &  m2 )

Operator + for matrix additions. Parameters: m1  First matrix m2  Second matrix Returns: m1+m2 Complexity: n^2 Definition at line 545 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn<T, N> operator- (  const Matrix_nxn< T, N > &  m1, const Matrix_nxn< T, N > &  m2 )

Operator - for matrix subtractions. Parameters: m1  First matrix m2  Second matrix Returns: m1-m2 Complexity: n^2 Definition at line 562 of file Matrix_nxn.h.

template<class T, size_t N> Vector_n<T, N> operator * (  const Matrix_nxn< T, N > &  m, const Vector_n< T, N > &  v )

Operator * for matrix-vector multiplication. Parameters: m  Matrix v  Vector Returns: m*v Complexity: n^2 Definition at line 613 of file Matrix_nxn.h. References MVTools::isNearInf(), and MVTools::isNearPosInf().

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template<class T, size_t N> Matrix_nxn<T, N> transpose (  const Matrix_nxn< T, N > &  m  )

Transposes a matrix. Parameters: m  Matrix to be transposed Returns: Transposed matrix Complexity: n^2 Definition at line 642 of file Matrix_nxn.h. Referenced by invert2(), KalmanFixedPositionModel::update(), and KalmanConstantSpeedModel::update().

template<class T, size_t N> Matrix_nxn<T, N> eye_nxn (   )

Creates an identity matrix. Returns: nxn identity matrix Complexity: n^2 Definition at line 658 of file Matrix_nxn.h.

template<class T, size_t N> Matrix_nxn<T, N> invert2 (  const Matrix_nxn< T, N > &  m  )

Inverts the passed matrix. Matrix must not be singular Parameters: m  Matrix to be inverted Returns: Inverted matrix Complexity: n^3 Definition at line 795 of file Matrix_nxn.h. References e, Matrix_nxn< T, N >::solve(), and transpose().

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template<class T, size_t N> Matrix_nxn<T, N> operator/ (  const Matrix_nxn< T, N > &  m1, const Matrix_nxn< T, N > &  m2 )

Divides first matrix by second matrix (multiplicates with inverse of second matrix). Parameters: m1  First matrix m2  Second matrix Returns: m1 & m2 Complexity: n^3 Definition at line 817 of file Matrix_nxn.h. References invert().

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template<class T, size_t N> T det (  const Matrix_nxn< T, N > &  m  )

Returns determinant of the passed matrix. Parameters: m  Matrix the determinant is to be calculated of Returns: det(m) Complexity: n^3 Definition at line 831 of file Matrix_nxn.h. References Matrix_nxn< T, N >::det(). Referenced by KalmanFixedPositionModel::update(), and KalmanConstantSpeedModel::update().

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