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    • Settings
    • LinearAlgebra
      • Vectors
        • DenseVector
        • SparseVector
        • Vector
      • Factorisation
        • SparseQR
      • Matrices
        • DenseMatrix
        • Matrix
        • SparseMatrix
        • Sparse
          • CompressedColumn
          • CompressedRow
        • Storage
          • DictionaryOfKeys
    • Algebra
      • Measure
        • IDotProduct<TSelf, TValue>
        • IMetric<TSelf>
        • INorm<TSelf>
      • Sets
        • IGroupAction<TSelf, TValue>
      • Fundamentals
        • IAddable<T>
    • Solvers
      • GuidedProjection
        • Energy
        • GuidedProjectionAlgorithm
        • LinearisedConstraint
        • QuadraticConstraint
        • VariableSet
        • EnergyTypes
          • SegmentOrthogonality
          • SegmentParallelity
        • Interfaces
          • IEnergyType
          • ILinearisedConstraintType
          • IQuadraticConstraintType
        • QuadraticConstraintTypes
          • CoherentLength
          • LowerBound
          • UpperBound
          • VectorLength
    • Arithmetic
      • Polynomials
        • Multivariate
          • Monomial
          • Polynomial
        • Univariate
          • Polynomial
          • Specials
            • Bernstein
            • BSpline
      • Numbers
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        • Quaternion
        • Real
    • Geometry
      • Euclidean3D
        • Basis
        • BSplineCurve
        • BSplineSurface
        • Circle
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      • Kernel
        • BSplineCurve<TPoint>
        • BSplineSurface<TPoint>
        • CurveParameterFormat
        • IGeometricallyEquatable<T>
      • Projective3D
        • Point
    • DataStructures
      • PolyhedralMeshes
        • IEdge<TPosition>
        • IFace<TPosition>
        • IMesh<TPosition>
        • IVertex<TPosition>
        • FaceVertexMesh
          • Edge<TPosition>
          • Face<TPosition>
          • Mesh<TPosition>
          • Vertex<TPosition>
        • Abstract
          • Edge<TPosition, TVertex, TEdge, TFace>
          • Face<TPosition, TVertex, TEdge, TFace>
          • Mesh<TPosition, TVertex, TEdge, TFace>
          • Vertex<TPosition, TVertex, TEdge, TFace>
        • HalfedgeMesh
          • Edge<TPosition>
          • Face<TPosition>
          • Halfedge<TPosition>
          • Mesh<TPosition>
          • Vertex<TPosition>

    Class SparseQR

    Class describing the QR factorisation of a CompressedColumn

    Inheritance
    Object
    SparseQR
    Namespace: BRIDGES.LinearAlgebra.Factorisation
    Assembly: BRIDGES.dll
    Syntax
    public class SparseQR : object

    Constructors

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    SparseQR(CompressedColumn)

    Initialises a new instance of the SparseQR class by computing the QR factorization of a CompressedColumn.

    Declaration
    public SparseQR(CompressedColumn matrix)
    Parameters
    Type Name Description
    CompressedColumn matrix

    Matrix over which the factorisation is performed.

    Methods

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    Solve(DenseVector)

    Solves the linear system : A·X=Y

    Declaration
    public DenseVector Solve(DenseVector vector)
    Parameters
    Type Name Description
    DenseVector vector

    DenseVector Y of the linear system.

    Returns
    Type Description
    DenseVector

    The DenseVector X, solution of the system.

    Remarks

    Since pre-factorisations are dedicated to speed, no exception handeling is provided.

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    Solve(SparseVector)

    Solves the linear system : A·X=Y

    Declaration
    public SparseVector Solve(SparseVector vector)
    Parameters
    Type Name Description
    SparseVector vector

    SparseVector Y of the linear system.

    Returns
    Type Description
    SparseVector

    The Vector X, solution of the system.

    Remarks

    Since pre-factorisations are dedicated to speed, no exception handeling is provided.

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    Solve(Vector)

    Solves the linear system : A·X=Y

    Declaration
    public Vector Solve(Vector vector)
    Parameters
    Type Name Description
    Vector vector

    Vector Y of the linear system.

    Returns
    Type Description
    Vector

    The Vector X, solution of the system.

    Remarks

    Since pre-factorisations are dedicated to speed, no exception handeling is provided.

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    Solve(Double[])

    Solves the linear system : A·X=Y

    Declaration
    public double[] Solve(double[] components)
    Parameters
    Type Name Description
    Double[] components

    -precision array representing the Y vector of the linear system.

    Returns
    Type Description
    Double[]

    The -precision array representing the X vector, solution of the system.

    Remarks

    Since pre-factorisations are dedicated to speed, no exception handeling is provided.

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