matrix.cpp File Reference

Function prototypes for creating tridiagonal matrices. More...

#include "matrix.hpp"

Functions
arma::mat	create_tridiagonal (const arma::vec &a, const arma::vec &d, const arma::vec &e)
	Create a tridiagonal matrix.
arma::mat	create_tridiagonal (int n, double a, double d, double e)
	Create a tridiagonal matrix.
arma::mat	create_symmetric_tridiagonal (int n, double a, double d)
	Create a symmetric tridiagonal matrix.
double	max_offdiag_symmetric (arma::mat &A, int &k, int &l)
	Find the off-diagonal element with the largest absolute value.

Detailed Description

Function prototypes for creating tridiagonal matrices.

Author

Cory Alexander Balaton (coryab)

Janita Ovidie Sandtrøen Willumsen (janitaws)

Bug:

No known bugs

Function Documentation

create_symmetric_tridiagonal()

arma::mat create_symmetric_tridiagonal	(	int	n,
		double	a,
		double	d
	)

Create a symmetric tridiagonal matrix.

Parameters

n	The dimensions of the tridiagonal matrix
a	The signature for the off diagonals
d	The signature for the main diagonal

Returns

arma::matrix

create_tridiagonal() [1/2]

arma::mat create_tridiagonal	(	const arma::vec &	a,
		const arma::vec &	d,
		const arma::vec &	e
	)

Create a tridiagonal matrix.

Parameters

a	Vector for the lower diagonal of size N-1
d	Vector for the main diagonal of size N
e	Vector for the upper diagonal of size N-1

Returns

arma::matrix

create_tridiagonal() [2/2]

arma::mat create_tridiagonal	(	int	n,
		double	a,
		double	d,
		double	e
	)

Create a tridiagonal matrix.

Parameters

n	The dimensions of the tridiagonal matrix
a	The signature for the lower diagonal
d	The signature for the main diagonal
e	The signature for the upper diagonal

Returns

arma::matrix

max_offdiag_symmetric()

double max_offdiag_symmetric	(	arma::mat &	A,
		int &	k,
		int &	l
	)

Find the off-diagonal element with the largest absolute value.

Parameters

A	Symmetric matrix
k	Variable to store the row of the return value
l	Variable to store the column of the return value

Returns

Double