CGAL 6.1.2 - CGAL and Solvers: SparseLinearAlgebraTraits_d Concept Reference

CGAL 6.1.2 - CGAL and Solvers

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SparseLinearAlgebraTraits_d Concept Reference
Reference Manual » Concepts

## Definition

The concept `SparseLinearAlgebraTraits_d` is used to solve sparse linear systems A \( \times \) X = B.

Has models
  `CGAL::Eigen_solver_traits<T>`

## Concepts
concept | Matrix
| `SparseLinearAlgebraTraits_d::Matrix` is a concept of a sparse matrix class. More...
concept | Vector
| `SparseLinearAlgebraTraits_d::Vector` is a concept of a vector that can be multiplied by a sparse matrix. More...

## Types
typedef unspecified_type | Matrix
typedef unspecified_type | Vector
typedef unspecified_type | NT

## Creation
| SparseLinearAlgebraTraits_d ()
| Default constructor.

## Operations
bool | linear_solver (const Matrix &A, const Vector &B, Vector &X, NT &D)
| Solve the sparse linear system \(A \times X = B\).

## Member Function Documentation

## ◆ linear_solver()

bool SparseLinearAlgebraTraits_d::linear_solver | ( | const Matrix & | A,
|  | const Vector & | B,
|  | Vector & | X,
|  | NT & | D
| ) |  |

Solve the sparse linear system \(A \times X = B\).

Return `true` on success. The solution is then \((1/D) \times X \).

Precondition
  `A.row_dimension()` == `B.dimension()`
  `A.column_dimension()` == `X.dimension()`