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

CGAL::Lapack_svd

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.
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...

Member Function Documentation

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 \( B\).