Namespaces | Functions
householder_base.h File Reference

File for Householder transformations. More...

#include <gsl/gsl_machine.h>
#include <o2scl/err_hnd.h>
#include <o2scl/cblas.h>
#include <o2scl/permutation.h>

Go to the source code of this file.

Namespaces

 o2scl_linalg
 The namespace for linear algebra classes and functions.
 

Functions

template<class vec_t >
double o2scl_linalg::householder_transform (const size_t n, vec_t &v)
 Replace the vector v with a Householder vector and a coefficient tau that annihilates v[1] through v[n-1] (inclusive) More...
 
template<class mat_t >
double o2scl_linalg::householder_transform_subcol (mat_t &A, const size_t ir, const size_t ic, const size_t M)
 Compute the Householder transform of a vector formed with n rows of a column of a matrix. More...
 
template<class mat_t >
double o2scl_linalg::householder_transform_subrow (mat_t &A, const size_t ir, const size_t ic, const size_t N)
 Compute the Householder transform of a vector formed with the last n columns of a row of a matrix. More...
 
template<class vec_t , class mat_t >
void o2scl_linalg::householder_hm (const size_t M, const size_t N, double tau, const vec_t &v, mat_t &A)
 Apply a Householder transformation $ (v,\tau) $ to matrix $ A $ of size (M,N) More...
 
template<class mat_t >
void o2scl_linalg::householder_hm_subcol (mat_t &M, const size_t ir, const size_t ic, const size_t nr, const size_t nc, const mat_t &M2, const size_t ir2, const size_t ic2, double tau)
 Apply a Householder transformation to the lower-right part of M when the transformation is stored in a column of M2. More...
 
template<class mat_t >
void o2scl_linalg::householder_hm_subrow (mat_t &M, const size_t ir, const size_t ic, const size_t nr, const size_t nc, const mat_t &M2, const size_t ir2, const size_t ic2, double tau)
 Apply a Householder transformation to the lower-right part of M when the transformation is stored in a row of M2. More...
 
template<class vec_t , class vec2_t >
void o2scl_linalg::householder_hv (const size_t N, double tau, const vec_t &v, vec2_t &w)
 Apply a Householder transformation v to vector w.
 
template<class mat_t , class vec_t >
void o2scl_linalg::householder_hv_subcol (const mat_t &A, vec_t &w, double tau, const size_t ie, const size_t N)
 Apply a Householder transformation v to vector w where v is stored as a column in a matrix A. More...
 
template<class mat_t >
void o2scl_linalg::householder_hm1 (const size_t M, const size_t N, double tau, mat_t &A)
 Apply a Householder transformation $ (v,\tau) $ to a matrix being build up from the identity matrix, using the first column of A as a Householder vector.
 
template<class mat_t >
void o2scl_linalg::householder_hm1_sub (const size_t M, const size_t N, double tau, mat_t &A, size_t ir, size_t ic)
 Apply a Householder transformation $ (v,\tau) $ to a matrix being build up from the identity matrix, using the first column of A as a Householder vector. More...
 
template<class vec_t , class mat_t >
void o2scl_linalg::householder_mh (const size_t M, const size_t N, double tau, const vec_t &v, mat_t &A)
 Apply the Householder transformation (v,tau) to the right-hand side of the matrix A.
 
template<class mat_t , class mat2_t >
void o2scl_linalg::householder_mh_subrow (mat_t &M, const size_t ir, const size_t ic, const size_t nr, const size_t nc, const mat2_t &M2, const size_t ir2, const size_t ic2, double tau)
 Apply the Householder transformation (v,tau) to the right-hand side of the matrix A. More...
 

Detailed Description

Todo:
Better documentation for the Householder functions.

Definition in file householder_base.h.

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