\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - CGAL and Solvers
List of all members | Static Public Member Functions
CGAL::Eigen_svd Class Reference
CGAL and Solvers Reference

#include <CGAL/Eigen_svd.h>

Definition

The class Eigen_svd provides an algorithm to solve in the least square sense a linear system with a singular value decomposition using Eigen.

Is Model Of:
SvdTraits
Examples:
Solver_interface/singular_value_decomposition.cpp.

Static Public Member Functions

static FT solve (const Matrix &M, Vector &B)
 Solves the system \( MX=B\) (in the least square sense if \( M\) is not square) using a singular value decomposition.The solution is stored in \( B\). More...
 

Types

typedef double FT
 
typedef Eigen_vector< FT > Vector
 
typedef Eigen_matrix< FT > Matrix
 

Member Function Documentation

◆ solve()

static FT CGAL::Eigen_svd::solve ( const Matrix &  M,
Vector &  B 
)
static

Solves the system \( MX=B\) (in the least square sense if \( M\) is not square) using a singular value decomposition.The solution is stored in \( B\).

Returns
the condition number of \( M\)