lowerTriangularMatrix.cpp File Reference

#include "../include/header/lowerTriangularMatrix.h"

Include dependency graph for lowerTriangularMatrix.cpp:

Functions
LTMatrix	operator* (const LTMatrix &lhs, const LTMatrix &rhs)
	Product of Lower Triangular Matrices. For \(L_1\) and \(L_2\) two lower triangular matrices of dimension \((n,n)\), we have. More...
Vector	operator* (const LTMatrix &lhs, const Vector &rhs)
LTMatrix	operator* (const double k, const LTMatrix &L)
LTMatrix	operator* (const LTMatrix &L, const double k)
LTMatrix	operator+ (const LTMatrix &lhs, const LTMatrix &rhs)
LTMatrix	operator+ (const double k, const LTMatrix &L)
LTMatrix	operator+ (const LTMatrix &L, const double k)
LTMatrix	operator- (const LTMatrix &lhs, const LTMatrix &rhs)
LTMatrix	operator- (const LTMatrix &L, const double k)
LTMatrix	operator- (const double k, const LTMatrix &L)
LTMatrix	operator/ (const LTMatrix &L, const double k)
std::ostream &	operator<< (std::ostream &os, const LTMatrix &L)

Function Documentation

operator*() [1/4]

LTMatrix operator*	(	const double	k,
		const LTMatrix &	L
	)

operator*() [2/4]

LTMatrix operator*	(	const LTMatrix &	L,
		const double	k
	)

operator*() [3/4]

LTMatrix operator*	(	const LTMatrix &	lhs,
		const LTMatrix &	rhs
	)

Product of Lower Triangular Matrices. For \(L_1\) and \(L_2\) two lower triangular matrices of dimension \((n,n)\), we have.

\[ (L_1L_2)_{i,j} = \sum_{k=j}^{i} (L_1)_{ik}(L_2)_{kj} ,\quad \forall\, j \leq i \]

Parameters

lhs	Left hand side, a lower triangular matrix of size : \((n, n)\)
rhs	Right hand side, a lower triangular matrix of size : \((n, n)\)

Returns

LTMatrix Product lhs and rhs stored as a new lower triangular matrix object

Warning

lhs and rhs must be square (and thus of the same dimensions) lower triangular matrices in order for the product to make sense.

operator*() [4/4]

Vector operator*	(	const LTMatrix &	lhs,
		const Vector &	rhs
	)

operator+() [1/3]

LTMatrix operator+	(	const double	k,
		const LTMatrix &	L
	)

operator+() [2/3]

LTMatrix operator+	(	const LTMatrix &	L,
		const double	k
	)

operator+() [3/3]

LTMatrix operator+	(	const LTMatrix &	lhs,
		const LTMatrix &	rhs
	)

operator-() [1/3]

LTMatrix operator-	(	const double	k,
		const LTMatrix &	L
	)

operator-() [2/3]

LTMatrix operator-	(	const LTMatrix &	L,
		const double	k
	)

operator-() [3/3]

LTMatrix operator-	(	const LTMatrix &	lhs,
		const LTMatrix &	rhs
	)

operator/()

LTMatrix operator/	(	const LTMatrix &	L,
		const double	k
	)

operator<<()

std::ostream& operator<<	(	std::ostream &	os,
		const LTMatrix &	L
	)