SparseSquareMatrix Class

Represents a sparse, square matrix.

Inheritance Hierarchy

SystemObject
  Meta.Numerics.MatricesAnyMatrixDouble
    Meta.Numerics.MatricesAnyRectangularMatrix
      Meta.Numerics.MatricesAnySquareMatrix
        Meta.Numerics.MatricesSparseSquareMatrix

Namespace: Meta.Numerics.Matrices
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

C++

Copy

public sealed class SparseSquareMatrix : AnySquareMatrix

Public NotInheritable Class SparseSquareMatrix
	Inherits AnySquareMatrix

public ref class SparseSquareMatrix sealed : public AnySquareMatrix

[<SealedAttribute>]
type SparseSquareMatrix =  
    class
        inherit AnySquareMatrix
    end

The SparseSquareMatrix type exposes the following members.

Constructors

	Name	Description
	SparseSquareMatrix	Initializes a new sparse, square matrix.

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Properties

	Name	Description
	ColumnCount	Gets the number of matrix columns. (Inherited from AnySquareMatrix.)
	Dimension	Gets or sets the dimension of the square matrix. (Overrides AnySquareMatrixDimension.)
	FillCount	Gets the number of non-zero matrix entries.
	FillFraction	Gets the fraction of matrix entries that are non-zero.
	IsReadOnly	Gets a flag indicating whether the matrix is read-only. (Inherited from AnyMatrixT.)
	Item	Gets or sets the value of a matrix entry. (Overrides AnyMatrixTItemInt32, Int32.)
	RowCount	Gets the number of matrix rows. (Inherited from AnySquareMatrix.)

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Methods

	Name	Description
	Column	Gets a copy of the specified column. (Overrides AnyRectangularMatrixColumn(Int32).)
	Copy	Copies the matrix.
	Equals(Object)	Determines whether the given object is an equal matrix. (Inherited from AnyMatrixT.)
	Equals(AnyMatrixT)	Determines whether the given matrix equals the current matrix. (Inherited from AnyMatrixT.)
	Fill	Sets all matrix entries according to a supplied fill function. (Inherited from AnyMatrixT.)
	FrobeniusNorm	Computes the Frobenius-norm of the matrix. (Inherited from AnyRectangularMatrix.)
	GetHashCode	Not a valid operation. (Inherited from AnyMatrixT.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	InfinityNorm	Computes the ∞-norm of the matrix. (Inherited from AnyRectangularMatrix.)
	MaxNorm	Computes the max-norm of the matrix. (Inherited from AnyRectangularMatrix.)
	MultiplySelfByTranspose	Computes the product of the matrix and its transpose. (Inherited from AnyRectangularMatrix.)
	MultiplyTransposeBySelf	Computes the product of the matrix's transpose and itself. (Inherited from AnyRectangularMatrix.)
	OneNorm	Computes the 1-norm of the matrix. (Inherited from AnyRectangularMatrix.)
	Row	Gets a copy of the specified row. (Overrides AnyRectangularMatrixRow(Int32).)
	Solve	Solves Ax = b using iterative methods.
	ToArray	Copies the matrix into an array. (Inherited from AnyMatrixT.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	Trace	Computes the trace of the square matrix. (Inherited from AnySquareMatrix.)

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Operators

	Name	Description
	Multiply(Double, SparseSquareMatrix)	Multiplies a sparse matrix by a real scalar.
	Multiply(RowVector, SparseSquareMatrix)	Multiplies a sparse matrix by a row vector.
	Multiply(SparseSquareMatrix, ColumnVector)	Multiplies a column vector by a sparse matrix.

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Remarks

Many applications give rise to very large matrices which consist mostly of zero elements.

When working with sparse matrices, it is important to keep in mind that many operations do not respect sparsity. For example, the product of two sparse matrices is not necessarily sparse, nor is the inverse of a sparse matrix.

Reference

Meta.Numerics.Matrices Namespace