CGAL 5.3 - CGAL and Solvers
SvdTraits Concept Reference

## Definition

The concept SvdTraits describes the linear algebra types and algorithms needed to solve in the least square sense a linear system with a singular value decomposition.

Has Models:
CGAL::Eigen_svd

## Concepts

conceptMatrix
Concept of matrix type used by the concept SvdTraits. More...

conceptVector
Concept of vector type used by the concept SvdTraits. More...

## Types

typedef unspecified_type FT
The scalar type.

typedef unspecified_type Vector
The vector type, model of the concept SvdTraits::Vector.

typedef unspecified_type Matrix
The matrix type, model of the concept SvdTraits::Matrix.

## Operations

The concept SvdTraits has a linear solver using a singular value decomposition algorithm.

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 and returns the condition number of $$M$$. More...

## ◆ solve()

 FT SvdTraits::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 and returns the condition number of $$M$$.

The solution is stored in $$B$$.