SvdTraits Concept Reference

Definition

The concept SvdTraits describes the set of requirements to be fulfilled by any class used to instantiate the third template parameter of the class CGAL::Monge_via_jet_fitting<DataKernel,LocalKernel,SvdTraits>.

It describes the linear algebra types and algorithms needed by the class CGAL::Monge_via_jet_fitting.

Requirements

The scalar type, SvdTraits::FT, must be the same as that of the LocalKernel concept : LocalKernel::FT.

Has Models:

CGAL::Eigen_svd

See also

LocalKernel

Concepts
concept	Matrix
	Concept of matrix type used by the concept SvdTraits. More...
concept	Vector
	Concept of vector type used by the concept SvdTraits. More...

Types
typedef unspecified_type	FT
	The scalar type. More...
typedef unspecified_type	Vector
	The vector type, model of the concept SvdTraits::Vector. More...
typedef unspecified_type	matrix
	The matrix type, model of the concept SvdTraits::Matrix. More...

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...

Member Typedef Documentation

typedef unspecified_type SvdTraits::FT

The scalar type.

typedef unspecified_type SvdTraits::matrix

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

typedef unspecified_type SvdTraits::Vector

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

Member Function Documentation

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 \( B\).