MatrixOperators.hpp File Reference

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Detailed Description

Matrix operators (arithmetic, transpose(), inverse(), etc).

Definition in file MatrixOperators.hpp.

#include <limits>
#include "MiscMath.hpp"
#include "MatrixFunctors.hpp"

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Namespaces
namespace	gpstk
Functions
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator && (const ConstMatrixBase< T, BaseClass1 > &l, const ConstMatrixBase< T, BaseClass2 > &r) throw (MatrixException)
	Returns the top to bottom concatenation of Matrices l and r only if they have the same number of columns.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator && (const ConstMatrixBase< T, BaseClass1 > &t, const ConstVectorBase< T, BaseClass2 > &b) throw (MatrixException)
	Returns the top to bottom concatenation of Matrix t and Vector b only if they have the same number of columns.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator && (const ConstVectorBase< T, BaseClass1 > &t, const ConstMatrixBase< T, BaseClass2 > &b) throw (MatrixException)
	Returns the top to bottom concatenation of Vector t and Matrix b only if they have the same number of columns.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator|| (const ConstMatrixBase< T, BaseClass1 > &l, const ConstMatrixBase< T, BaseClass2 > &r) throw (MatrixException)
	Returns the left to right concatenation of l and r only if they have the same number of rows.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator|| (const ConstMatrixBase< T, BaseClass1 > &l, const ConstVectorBase< T, BaseClass2 > &r) throw (MatrixException)
	Returns the left to right concatenation of Matrix l and Vector r only if they have the same number of rows.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator|| (const ConstVectorBase< T, BaseClass1 > &l, const ConstMatrixBase< T, BaseClass2 > &r) throw (MatrixException)
	Returns the left to right concatenation of Vector l and Matrix r only if they have the same number of rows.
template<class T, class BaseClass>
Matrix< T >	minorMatrix (const ConstMatrixBase< T, BaseClass > &l, size_t row, size_t col) throw (MatrixException)
	Returns the minor matrix of l at element (row, col).
template<class T, class BaseClass>
Matrix< T >	transpose (const ConstMatrixBase< T, BaseClass > &m)
	Returns a matrix that is m transposed.
template<class T, class BaseClass>
T	det (const ConstMatrixBase< T, BaseClass > &m) throw (MatrixException)
	Uses an LU Decomposition to calculate the determinate of m.
template<class T, class BaseClass>
T	condNum (const ConstMatrixBase< T, BaseClass > &m, T &big, T &small) throw ()
	returns the condition number of the matrix
template<class T, class BaseClass>
T	condNum (const ConstMatrixBase< T, BaseClass > &m) throw ()
	returns the condition number of the matrix, doesnt require big or small..
template<class T>
Matrix< T >	ident (size_t dim) throw (MatrixException)
	Returns a new dim * dim matrix that's an identity matrix.
template<class T, class BaseClass>
Matrix< T >	diag (const ConstMatrixBase< T, BaseClass > &m) throw (MatrixException)
	Returns the diagonal matrix of m .
template<class T, class BaseClass>
Matrix< T >	blkdiag (const ConstMatrixBase< T, BaseClass > &m1, const ConstMatrixBase< T, BaseClass > &m2) throw (MatrixException)
	Block diagonal concatenation of matrix input.
template<class T, class BaseClass>
Matrix< T >	blkdiag (const ConstMatrixBase< T, BaseClass > &m1, const ConstMatrixBase< T, BaseClass > &m2, const ConstMatrixBase< T, BaseClass > &m3) throw (MatrixException)
template<class T, class BaseClass>
Matrix< T >	blkdiag (const ConstMatrixBase< T, BaseClass > &m1, const ConstMatrixBase< T, BaseClass > &m2, const ConstMatrixBase< T, BaseClass > &m3, const ConstMatrixBase< T, BaseClass > &m4) throw (MatrixException)
template<class T>
Matrix< T >	rotation (T angle, int axis) throw (MatrixException)
	Return a rotation matrix [dimensioned 3x3, inverse() = transpose()] for the rotation through angle radians about axis number (= 1, 2 or 3).
template<class T, class BaseClass>
Matrix< T >	inverse (const ConstMatrixBase< T, BaseClass > &m) throw (MatrixException)
	Inverts the matrix M by Gaussian elimination.
template<class T, class BaseClass>
Matrix< T >	inverseLUD (const ConstMatrixBase< T, BaseClass > &m) throw (MatrixException)
	Inverts the matrix M by LU decomposition.
template<class T, class BaseClass>
Matrix< T >	inverseLUD (const ConstMatrixBase< T, BaseClass > &m, T &determ) throw (MatrixException)
	Inverts the matrix M by LU decomposition, and returns determinant as well Throws on non-square and singular matricies.
template<class T, class BaseClass>
Matrix< T >	inverseSVD (const ConstMatrixBase< T, BaseClass > &m, const T tol=T(1.e-8)) throw (MatrixException)
	Inverts the square matrix M by SVD, editing the singular values using tolerance tol.
template<class T, class BaseClass>
Matrix< T >	inverseSVD (const ConstMatrixBase< T, BaseClass > &m, T &big, T &small, const T tol=T(1.e-8)) throw (MatrixException)
	Invert the square matrix M by SVD, editing the singular values with tolerance tol, and return the largest and smallest singular values (before any editing).
template<class T, class BaseClass>
Matrix< T >	inverseSVD (const ConstMatrixBase< T, BaseClass > &m, Vector< T > &sv, const T tol=T(1.e-8)) throw (MatrixException)
	Invert the square matrix M by SVD, editing the singular values using tolerance tol, and return the singular values (before any editing).
template<class T, class BaseClass>
Matrix< T >	inverseChol (const ConstMatrixBase< T, BaseClass > &m) throw (MatrixException)
	Inverts the square symetrix positive definite matrix M using Cholesky-Crout algorithm.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator * (const ConstMatrixBase< T, BaseClass1 > &l, const ConstMatrixBase< T, BaseClass2 > &r) throw (MatrixException)
	Matrix * Matrix : row by column multiplication of two matricies.
template<class T, class BaseClass1, class BaseClass2>
Vector< T >	operator * (const ConstMatrixBase< T, BaseClass1 > &m, const ConstVectorBase< T, BaseClass2 > &v) throw (MatrixException)
	Matrix times vector multiplication, returning a vector.
template<class T, class BaseClass1, class BaseClass2>
Vector< T >	operator * (const ConstVectorBase< T, BaseClass1 > &v, const ConstMatrixBase< T, BaseClass2 > &m) throw (gpstk::MatrixException)
	Vector times matrix multiplication, returning a vector.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator+ (const ConstMatrixBase< T, BaseClass1 > &l, const ConstMatrixBase< T, BaseClass2 > &r) throw (MatrixException)
	Compute sum of two matricies.
template<class T, class BaseClass1, class BaseClass2>
Matrix< T >	operator- (const ConstMatrixBase< T, BaseClass1 > &l, const ConstMatrixBase< T, BaseClass2 > &r) throw (MatrixException)
	Compute difference of two matricies.
template<class T, class BaseClass>
Matrix< T >	outer (const ConstVectorBase< T, BaseClass > &v, const ConstVectorBase< T, BaseClass > &w) throw (MatrixException)
	Compute the outer product of two vectors.
template<class T, class BaseClass>
Matrix< T >	operator * (const ConstMatrixBase< T, BaseClass > &m, const T d)
	Multiplies all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator * (const T d, const ConstMatrixBase< T, BaseClass > &m)
	Multiplies all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator/ (const ConstMatrixBase< T, BaseClass > &m, const T d)
	Divides all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator/ (const T d, const ConstMatrixBase< T, BaseClass > &m)
	Divides all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator+ (const ConstMatrixBase< T, BaseClass > &m, const T d)
	Adds all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator+ (const T d, const ConstMatrixBase< T, BaseClass > &m)
	Adds all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator- (const ConstMatrixBase< T, BaseClass > &m, const T d)
	Subtracts all the elements of m by d.
template<class T, class BaseClass>
Matrix< T >	operator- (const T d, const ConstMatrixBase< T, BaseClass > &m)
	Subtracts all the elements of m by d.

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