SingleBandMatrix Class - Extreme.Mathematics.LinearAlgebra

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SingleBandMatrix Class

Extreme Optimization Numerical Libraries for .NET Professional

Represents a sparse matrix with nonzero elements only on a diagonal band containing the main diagonal.

Inheritance Hierarchy

SystemObject
  Extreme.Mathematics.LinearAlgebraSingleLinearTransformation
    Extreme.MathematicsSingleMatrix
      Extreme.Mathematics.LinearAlgebraSingleBandMatrix

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Version4x.Net40 (in Extreme.Numerics.Version4x.Net40.dll) Version: 4.2.11333.0 (5.0.12317.0)

Syntax

C++

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[SerializableAttribute]
public sealed class SingleBandMatrix : SingleMatrix, 
	ISerializable

<SerializableAttribute>
Public NotInheritable Class SingleBandMatrix
	Inherits SingleMatrix
	Implements ISerializable

[SerializableAttribute]
public ref class SingleBandMatrix sealed : public SingleMatrix, 
	ISerializable

[<SealedAttribute>]
[<SerializableAttribute>]
type SingleBandMatrix =  
    class
        inherit SingleMatrix
        interface ISerializable
    end

The SingleBandMatrix type exposes the following members.

Constructors

	Name	Description
	SingleBandMatrix(Int32, Int32)	Constructs a symmetric band matrix.
	SingleBandMatrix(Int32, Int32, Int32, Int32)	Constructs a new general band matrix.
	SingleBandMatrix(MatrixTriangle, Int32, Int32, MatrixDiagonal)	Constructs an upper or lower band matrix
	SingleBandMatrix(Int32, Int32, Int32, Int32, Boolean)	Constructs a new band matrix.
	SingleBandMatrix(MatrixTriangle, Int32, Int32, Int32, MatrixDiagonal)	Constructs a new triangular band matrix.

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Properties

	Name	Description
	ColumnCount	Gets the number of columns in the SingleMatrix. (Inherited from SingleMatrix.)
	Columns	Gets the ColumnCollection for this instance. (Inherited from SingleMatrix.)
	ElementOrder	Gets a value indicating the order in which the matrix elements are stored. (Inherited from SingleMatrix.)
	IsLowerTriangular	Gets a value indicating whether this instance is lower triangular. (Overrides SingleMatrixIsLowerTriangular.)
	IsSparse	Gets a value that indicates whether the matrix is sparse. (Overrides SingleMatrixIsSparse.)
	IsSymmetric	Gets a value indicating whether this instance is triangleMode triangular.
	IsSymmetrical	Gets a value that indicates if the matrix is symmetrical about the main diagonal. (Overrides SingleMatrixIsSymmetrical.)
	IsUnitDiagonal	Gets a value indicating whether all diagonal elements of this instance are equal to 1. (Overrides SingleMatrixIsUnitDiagonal.)
	IsUpperTriangular	Gets a value indicating whether this instance is triangleMode triangular. (Overrides SingleMatrixIsUpperTriangular.)
	ItemInt32, Range	Gets or sets the components of a row of this SingleMatrix. (Inherited from SingleMatrix.)
	ItemInt32, Int32	Gets or sets the specified element in this SingleMatrix. (Inherited from SingleMatrix.)
	ItemRange, Range	Gets or sets the components of a submatrix of this SingleMatrix. (Inherited from SingleMatrix.)
	ItemRange, Int32	Gets or sets the components of a column of this SingleMatrix. (Inherited from SingleMatrix.)
	LowerBandwidth	Gets the lower bandwidth of the matrix.
	NonzeroComponents	Gets a collection of the nonzero components of the matrix. (Inherited from SingleMatrix.)
	RowCount	Gets the number of rows in the SingleMatrix. (Inherited from SingleMatrix.)
	Rows	Gets the RowCollection for this instance. (Inherited from SingleMatrix.)
	TotalBandwidth	Gets the total bandwidth of the matrix.
	UpperBandwidth	Gets the upper bandwidth of the matrix.

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Methods

	Name	Description
	AbsoluteMax	Returns the value of the component in this SingleMatrix that has the largest absolute value. (Inherited from SingleMatrix.)
	AbsoluteMin	Returns the value of the component in this SingleMatrix that has the smallest absolute value. (Inherited from SingleMatrix.)
	Add(Single)	Adds a constant to a matrix. (Inherited from SingleMatrix.)
	Add(TransposeOperation, TransposeOperation, Single, SingleMatrix)	Adds a multiple of a SingleMatrix to this SingleMatrix and returns the result. (Inherited from SingleMatrix.)
	AddProductToVector	Multiplies a vector by this SingleMatrix and stores the result in a second SingleVector. (Overrides SingleMatrixAddProductToVector(Single, SingleVector, TransposeOperation, Single, SingleDenseVector).)
	Apply(FuncSingle, Single)	Applies a function to the elements of a SingleMatrix. (Inherited from SingleMatrix.)
	ApplyToColumns	Applies a function to each column in a matrix and returns the result as a vector. (Inherited from SingleMatrix.)
	ApplyToRows	Applies a function to each column in a matrix and returns the result as a vector. (Inherited from SingleMatrix.)
	AsDenseMatrix	Returns this matrix as a SingleDenseMatrix. (Inherited from SingleMatrix.)
	AsGeneralMatrix	Obsolete. Returns this matrix as a SingleDenseMatrix. (Inherited from SingleMatrix.)
	Clone	Constructs a deep copy of this SingleMatrix. (Inherited from SingleMatrix.)
	CloneData	Gives this instance its own copy of its elements. (Overrides SingleMatrixCloneData.)
	ComponentwiseDivide(SingleMatrix)	Divides the components of this instance by the corresponding components of another matrix. (Inherited from SingleMatrix.)
	ComponentwiseMultiply(SingleMatrix)	Multiplies the components of this instance by the corresponding components of another matrix. (Inherited from SingleMatrix.)
	CopyTo	Copies the components of this SingleMatrix to another matrix. (Overrides SingleMatrixCopyTo(SingleMatrix).)
	Equals(Object)	Determines whether the specified Object is equal to the current SingleMatrix. (Inherited from SingleMatrix.)
	Equals(SingleMatrix)	Determines whether the specified SingleMatrix is equal to the current SingleMatrix. (Inherited from SingleMatrix.)
	EstimateConditionNumber	Calculates an estimate for the condition number of the SingleSymmetricMatrix. (Overrides SingleMatrixEstimateConditionNumber.)
	Extract(SingleMatrix, Int32, Int32)	Constructs a new SingleBandMatrix from the components of another matrix.
	Extract(SingleMatrix, Int32, Int32, Intent)	Constructs a new SingleBandMatrix from the components of another matrix.
	Extract(SingleTriangularMatrix, MatrixTriangle, Int32, MatrixDiagonal)	Constructs a new upper or lower SingleBandMatrix from the components of a triangular matrix.
	Extract(SingleTriangularMatrix, MatrixTriangle, Int32, MatrixDiagonal, Intent)	Constructs a new upper or lower SingleBandMatrix from the components of a triangular matrix.
	ExtractSymmetric(SingleMatrix, Int32, MatrixTriangle)	Constructs a new symmetric SingleBandMatrix from the components of a matrix.
	ExtractSymmetric(SingleMatrix, Int32, MatrixTriangle, Intent)	Constructs a new symmetric SingleBandMatrix from the components of a matrix.
	FrobeniusNorm	Returns the Frobenius norm of this SingleMatrix. (Inherited from SingleMatrix.)
	GetColumn(Int32)	Returns a column SingleVector for this instance that points at the specified column. (Inherited from SingleMatrix.)
	GetColumn(Int32, Range)	Returns a column SingleVector for this instance starting at the specified column and row and of the specified length. (Inherited from SingleMatrix.)
	GetColumn(Int32, Int32, Int32)	Returns a column SingleVector for this instance starting at the specified column and row and of the specified length. (Inherited from SingleMatrix.)
	GetColumn(Int32, Int32, Int32, Int32)	Returns a column SingleVector for this instance starting at the specified column and row and of the specified length. (Overrides SingleMatrixGetColumn(Int32, Int32, Int32, Int32).)
	GetColumnEnumerator	Obsolete. Gets an IEnumerator than can be used to enumerate the columns of this SingleMatrix. (Inherited from SingleMatrix.)
	GetColumnSums	Returns the sums of the components of each column of the matrix. (Inherited from SingleMatrix.)
	GetComponents	Obsolete. Gets the components of the vector. (Inherited from SingleMatrix.)
	GetComponents(MatrixElementOrder)	Obsolete. Gets the components of the vector. (Inherited from SingleMatrix.)
	GetConditionNumber	Calculates the condition number of this SingleMatrix. (Inherited from SingleMatrix.)
	GetDeterminant	Calculates the determinant of the SingleBandMatrix. (Overrides SingleMatrixGetDeterminant.)
	GetDiagonal	Gets a vector view of the diagonal elements of this instance. (Inherited from SingleMatrix.)
	GetDiagonal(Int32)	Gets a vector view of the diagonal elements of this instance. (Overrides SingleMatrixGetDiagonal(Int32).)
	GetExponential	Computes the matrix exponential of a square matrix. (Inherited from SingleMatrix.)
	GetHashCode	Returns the hash code for this instance. (Inherited from SingleMatrix.)
	GetInverse	Calculates the inverse matrix. (Overrides SingleMatrixGetInverse.)
	GetObjectData	Populates a SerializationInfo with the data needed to serialize the target object. (Overrides SingleMatrixGetObjectData(SerializationInfo, StreamingContext).)
	GetPseudoInverse	Calculates the Moore-Penrose pseudo-inverse of this SingleMatrix. (Inherited from SingleMatrix.)
	GetRow(Int32)	Returns a row SingleVector for this instance that points at the specified row. (Inherited from SingleMatrix.)
	GetRow(Int32, Range)	Returns a row SingleVector for this instance starting at the specified row and column and of the specified length. (Inherited from SingleMatrix.)
	GetRow(Int32, Int32, Int32)	Returns a row SingleVector for this instance over the specified range. (Inherited from SingleMatrix.)
	GetRow(Int32, Int32, Int32, Int32)	Returns a row SingleVector for this instance starting at the specified row and column and of the specified length. (Overrides SingleMatrixGetRow(Int32, Int32, Int32, Int32).)
	GetRowEnumerator	Obsolete. Returns an IEnumerator instance that allows you to enumerate the rows of this SingleMatrix. (Inherited from SingleMatrix.)
	GetRowSums	Returns the sums of the components of each row of the matrix. (Inherited from SingleMatrix.)
	GetSingularValues	Gets a vector containing the singular values of the matrix. (Inherited from SingleMatrix.)
	GetSubmatrix(Range, Range)	Gets a SingleMatrix that is a submatrix of this SingleMatrix. (Inherited from SingleMatrix.)
	GetSubmatrix(Range, Range, TransposeOperation)	Gets a SingleMatrix that is a submatrix of this SingleMatrix. (Inherited from SingleMatrix.)
	GetSubmatrix(Int32, Int32, Int32, Int32)	Gets a SingleMatrix that is a submatrix of this SingleMatrix. (Inherited from SingleMatrix.)
	GetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation)	Gets a SingleMatrix that is a submatrix of this SingleMatrix. (Inherited from SingleMatrix.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetValue	Gets the matrix component at the specified position. (Overrides SingleMatrixGetValue(Int32, Int32).)
	InfinityNorm	Returns the infinity norm of this SingleMatrix. (Inherited from SingleMatrix.)
	IsComponentWritable	Returns a value that indicates whether the value of the component at the specified row and column can be changed. (Overrides SingleMatrixIsComponentWritable(Int32, Int32).)
	IsSingular	Gets a value indicating whether the SingleSymmetricMatrix is singular. (Overrides SingleMatrixIsSingular.)
	Max	Returns the value of the largest component in this SingleMatrix. (Inherited from SingleMatrix.)
	Min	Returns the value of the smallest component in this SingleMatrix. (Inherited from SingleMatrix.)
	Multiply(Single)	Multiplies this SingleMatrix by a scalar factor. (Overrides SingleMatrixMultiply(Single).)
	Multiply(MatrixOperationSide, TransposeOperation, TransposeOperation, SingleMatrix)	Multiplies this SingleMatrix by another matrix and returns the result. (Inherited from SingleMatrix.)
	OneNorm	Returns the 1-norm of this SingleMatrix. (Inherited from SingleMatrix.)
	PermuteColumns	Permutes the columns of the matrix using the specified Permutation. (Inherited from SingleMatrix.)
	PermuteRows	Permutes the rows of the matrix using the specified Permutation. (Inherited from SingleMatrix.)
	PermuteRowsAndColumns(Permutation)	Permutes the rows and columns of the matrix using the specified Permutation. (Inherited from SingleMatrix.)
	PermuteRowsAndColumns(Permutation, Permutation)	Permutes the rows and columns of the matrix using the specified row and column Permutation. (Inherited from SingleMatrix.)
	Rank	Returns the numerical rank of a matrix. (Inherited from SingleLinearTransformation.)
	Rank(Single)	Returns the numerical rank of a matrix using the specified tolerance. (Inherited from SingleMatrix.)
	ScaleColumns	Scales the columns of the matrix by the values specified by a vector. (Inherited from SingleMatrix.)
	ScaleRows	Scales the rows of the matrix by the values specified by a vector. (Inherited from SingleMatrix.)
	SetToZero	Sets all elements of the matrix to zero. (Inherited from SingleMatrix.)
	SetValue(Single)	Sets all elements of the matrix to the specified value. (Inherited from SingleMatrix.)
	SetValue(Single, Int32, Int32)	Sets the matrix component at the specified position to the specified value. (Overrides SingleMatrixSetValue(Single, Int32, Int32).)
	ShallowCopy	Makes a shallow copy of this SingleMatrix. (Inherited from SingleMatrix.)
	Solve(SingleMatrix)	Solves the system of linear equations for the specified right-hand side SingleMatrix. (Inherited from SingleLinearTransformation.)
	Solve(SingleVector)	Solves the system of linear equations for the specified right-hand side SingleVector. (Inherited from SingleLinearTransformation.)
	Solve(SingleDenseMatrix, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side SingleDenseMatrix and optionally overwrites the right-hand side with the solution. (Overrides SingleMatrixSolve(SingleDenseMatrix, Boolean).)
	Solve(SingleDenseVector, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side SingleVector. (Overrides SingleMatrixSolve(SingleDenseVector, Boolean).)
	SolveTranspose(SingleMatrix)	Solves the transposed system of linear equations for the specified right-hand side SingleMatrix. (Inherited from SingleLinearTransformation.)
	SolveTranspose(SingleVector)	Solves the system of linear equations for the specified right-hand side SingleVector. (Inherited from SingleLinearTransformation.)
	SolveTranspose(SingleDenseMatrix, Boolean)	Solves the transposed system of linear equations for the specified right-hand side SingleDenseMatrix and optionally overwrites the right-hand side with the solution. (Overrides SingleMatrixSolveTranspose(SingleDenseMatrix, Boolean).)
	SolveTranspose(SingleDenseVector, Boolean)	Solves the transposed system of linear equations for the specified right-hand side DenseVector and optionally overwrites the right-hand side with the solution. (Overrides SingleMatrixSolveTranspose(SingleDenseVector, Boolean).)
	SwapColumns	Swaps the columns with the specified indices. (Inherited from SingleMatrix.)
	SwapRows	Swaps the rows with the specified indices. (Inherited from SingleMatrix.)
	ToArray	Gets the components of the vector. (Inherited from SingleMatrix.)
	ToArray(MatrixElementOrder)	Gets the components of the vector. (Overrides SingleMatrixToArray(MatrixElementOrder).)
	ToDenseMatrix	Makes a copy of this instance and returns it as a SingleDenseMatrix. (Inherited from SingleMatrix.)
	ToDoublePrecision	Returns a double-precision equivalent of the matrix. (Overrides SingleMatrixToDoublePrecision.)
	ToGeneralBandMatrix	Makes a copy of this instance and returns it as a general SingleBandMatrix.
	ToGeneralBandMatrix(Boolean)	Makes a copy of this instance and returns it as a general SingleBandMatrix.
	ToGeneralMatrix	Obsolete. Makes a copy of this instance and returns it as a SingleDenseMatrix. (Inherited from SingleMatrix.)
	ToString	Returns a String representation of this SingleMatrix. (Inherited from SingleMatrix.)
	ToString(String)	Returns a String representation of this SingleMatrix. (Inherited from SingleMatrix.)
	ToString(String, IFormatProvider)	Returns a String representation of this SingleMatrix. (Inherited from SingleMatrix.)
	Trace	Gets the sum of the diagonal elements of this SingleMatrix. (Inherited from SingleMatrix.)
	Transpose	Returns the transpose of this instance. (Inherited from SingleMatrix.)
	TwoNorm	Returns the two-norm of this SingleMatrix. (Inherited from SingleMatrix.)
	UnscaleColumns	Scales the columns of the matrix by the inverse of the values specified by a vector. (Inherited from SingleMatrix.)
	UnscaleRows	Scales the rows of the matrix by the inverse of the values specified by a vector. (Inherited from SingleMatrix.)

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Operators

	Name	Description
	(BandMatrix to SingleBandMatrix)	Converts a double-precision band matrix to its single-precision equivalent.
	(SingleBandMatrix to BandMatrix)	Converts a SingleBandMatrix to an equivalent double-precision matrix.

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Version Information

Numerical Libraries

Supported in: 5.x, 4.x

Reference

Extreme.Mathematics.LinearAlgebra Namespace

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