linear_algebra.hpp File Reference

#include <cassert>
#include <cmath>
#include <complex>
#include <functional>
#include <limits>
#include <map>
#include <numeric>
#include <vector>
#include "common.hpp"

Go to the source code of this file.

Classes
struct	lambda_lanczos::util::ManhattanNorm< T >
struct	lambda_lanczos::util::ManhattanNorm< std::complex< T > >

Namespaces
namespace	lambda_lanczos
namespace	lambda_lanczos::util

Functions
template<typename T>
T	lambda_lanczos::util::inner_prod (const std::vector< T > &v1, const std::vector< T > &v2)
	Returns "mathematical" inner product of v1 and v2.
template<typename T>
real_t< T >	lambda_lanczos::util::norm (const std::vector< T > &vec)
	Returns Euclidean norm of given vector.
template<typename T1, typename T2>
void	lambda_lanczos::util::scalar_mul (T1 a, std::vector< T2 > &vec)
	Multiplies each element of vec by a.
template<typename T>
void	lambda_lanczos::util::normalize (std::vector< T > &vec)
	Normalizes given vector.
template<typename T>
real_t< T >	lambda_lanczos::util::m_norm (const std::vector< T > &vec)
	Returns Manhattan-like norm of given vector.
template<typename ForwardIterator, typename T>
void	lambda_lanczos::util::schmidt_orth (std::vector< T > &uorth, ForwardIterator first, ForwardIterator last)
	Orthogonalizes vector uorth with respect to orthonormal vectors defined by given iterators.
template<typename T>
void	lambda_lanczos::util::initAsIdentity (std::vector< std::vector< T > > &a, size_t n)
	Initializes the given matrix a to an n by n identity matrix.