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Expand ReferenceReference
SingleBandMatrix ClassExtreme 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#
VB
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F#
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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

  NameDescription
Public methodSingleBandMatrix(Int32, Int32)
Constructs a symmetric band matrix.
Public methodSingleBandMatrix(Int32, Int32, Int32, Int32)
Constructs a new general band matrix.
Public methodSingleBandMatrix(MatrixTriangle, Int32, Int32, MatrixDiagonal)
Constructs an upper or lower band matrix
Public methodSingleBandMatrix(Int32, Int32, Int32, Int32, Boolean)
Constructs a new band matrix.
Public methodSingleBandMatrix(MatrixTriangle, Int32, Int32, Int32, MatrixDiagonal)
Constructs a new triangular band matrix.
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Properties

  NameDescription
Public propertyColumnCount
Gets the number of columns in the SingleMatrix.
(Inherited from SingleMatrix.)
Public propertyColumns
Gets the ColumnCollection for this instance.
(Inherited from SingleMatrix.)
Public propertyElementOrder
Gets a value indicating the order in which the matrix elements are stored.
(Inherited from SingleMatrix.)
Public propertyIsLowerTriangular
Gets a value indicating whether this instance is lower triangular.
(Overrides SingleMatrixIsLowerTriangular.)
Public propertyIsSparse
Gets a value that indicates whether the matrix is sparse.
(Overrides SingleMatrixIsSparse.)
Public propertyIsSymmetric
Gets a value indicating whether this instance is triangleMode triangular.
Public propertyIsSymmetrical
Gets a value that indicates if the matrix is symmetrical about the main diagonal.
(Overrides SingleMatrixIsSymmetrical.)
Public propertyIsUnitDiagonal
Gets a value indicating whether all diagonal elements of this instance are equal to 1.
(Overrides SingleMatrixIsUnitDiagonal.)
Public propertyIsUpperTriangular
Gets a value indicating whether this instance is triangleMode triangular.
(Overrides SingleMatrixIsUpperTriangular.)
Public propertyItemInt32, Range
Gets or sets the components of a row of this SingleMatrix.
(Inherited from SingleMatrix.)
Public propertyItemInt32, Int32
Gets or sets the specified element in this SingleMatrix.
(Inherited from SingleMatrix.)
Public propertyItemRange, Range
Gets or sets the components of a submatrix of this SingleMatrix.
(Inherited from SingleMatrix.)
Public propertyItemRange, Int32
Gets or sets the components of a column of this SingleMatrix.
(Inherited from SingleMatrix.)
Public propertyLowerBandwidth
Gets the lower bandwidth of the matrix.
Public propertyNonzeroComponents
Gets a collection of the nonzero components of the matrix.
(Inherited from SingleMatrix.)
Public propertyRowCount
Gets the number of rows in the SingleMatrix.
(Inherited from SingleMatrix.)
Public propertyRows
Gets the RowCollection for this instance.
(Inherited from SingleMatrix.)
Public propertyTotalBandwidth
Gets the total bandwidth of the matrix.
Public propertyUpperBandwidth
Gets the upper bandwidth of the matrix.
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Methods

  NameDescription
Public methodAbsoluteMax
Returns the value of the component in this SingleMatrix that has the largest absolute value.
(Inherited from SingleMatrix.)
Public methodAbsoluteMin
Returns the value of the component in this SingleMatrix that has the smallest absolute value.
(Inherited from SingleMatrix.)
Public methodAdd(Single)
Adds a constant to a matrix.
(Inherited from SingleMatrix.)
Public methodAdd(TransposeOperation, TransposeOperation, Single, SingleMatrix)
Adds a multiple of a SingleMatrix to this SingleMatrix and returns the result.
(Inherited from SingleMatrix.)
Public methodAddProductToVector
Multiplies a vector by this SingleMatrix and stores the result in a second SingleVector.
(Overrides SingleMatrixAddProductToVector(Single, SingleVector, TransposeOperation, Single, SingleDenseVector).)
Public methodApply(FuncSingle, Single)
Applies a function to the elements of a SingleMatrix.
(Inherited from SingleMatrix.)
Public methodApplyToColumns
Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from SingleMatrix.)
Public methodApplyToRows
Applies a function to each column in a matrix and returns the result as a vector.
(Inherited from SingleMatrix.)
Public methodAsDenseMatrix
Returns this matrix as a SingleDenseMatrix.
(Inherited from SingleMatrix.)
Public methodAsGeneralMatrix Obsolete.
Returns this matrix as a SingleDenseMatrix.
(Inherited from SingleMatrix.)
Public methodClone
Constructs a deep copy of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodCloneData
Gives this instance its own copy of its elements.
(Overrides SingleMatrixCloneData.)
Public methodComponentwiseDivide(SingleMatrix)
Divides the components of this instance by the corresponding components of another matrix.
(Inherited from SingleMatrix.)
Public methodComponentwiseMultiply(SingleMatrix)
Multiplies the components of this instance by the corresponding components of another matrix.
(Inherited from SingleMatrix.)
Public methodCopyTo
Copies the components of this SingleMatrix to another matrix.
(Overrides SingleMatrixCopyTo(SingleMatrix).)
Public methodEquals(Object)
Determines whether the specified Object is equal to the current SingleMatrix.
(Inherited from SingleMatrix.)
Public methodEquals(SingleMatrix)
Determines whether the specified SingleMatrix is equal to the current SingleMatrix.
(Inherited from SingleMatrix.)
Public methodEstimateConditionNumber
Calculates an estimate for the condition number of the SingleSymmetricMatrix.
(Overrides SingleMatrixEstimateConditionNumber.)
Public methodStatic memberExtract(SingleMatrix, Int32, Int32)
Constructs a new SingleBandMatrix from the components of another matrix.
Public methodStatic memberExtract(SingleMatrix, Int32, Int32, Intent)
Constructs a new SingleBandMatrix from the components of another matrix.
Public methodStatic memberExtract(SingleTriangularMatrix, MatrixTriangle, Int32, MatrixDiagonal)
Constructs a new upper or lower SingleBandMatrix from the components of a triangular matrix.
Public methodStatic memberExtract(SingleTriangularMatrix, MatrixTriangle, Int32, MatrixDiagonal, Intent)
Constructs a new upper or lower SingleBandMatrix from the components of a triangular matrix.
Public methodStatic memberExtractSymmetric(SingleMatrix, Int32, MatrixTriangle)
Constructs a new symmetric SingleBandMatrix from the components of a matrix.
Public methodStatic memberExtractSymmetric(SingleMatrix, Int32, MatrixTriangle, Intent)
Constructs a new symmetric SingleBandMatrix from the components of a matrix.
Public methodFrobeniusNorm
Returns the Frobenius norm of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetColumn(Int32)
Returns a column SingleVector for this instance that points at the specified column.
(Inherited from SingleMatrix.)
Public methodGetColumn(Int32, Range)
Returns a column SingleVector for this instance starting at the specified column and row and of the specified length.
(Inherited from SingleMatrix.)
Public methodGetColumn(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.)
Public methodGetColumn(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).)
Public methodGetColumnEnumerator Obsolete.
Gets an IEnumerator than can be used to enumerate the columns of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetColumnSums
Returns the sums of the components of each column of the matrix.
(Inherited from SingleMatrix.)
Public methodGetComponents Obsolete.
Gets the components of the vector.
(Inherited from SingleMatrix.)
Public methodGetComponents(MatrixElementOrder) Obsolete.
Gets the components of the vector.
(Inherited from SingleMatrix.)
Public methodGetConditionNumber
Calculates the condition number of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetDeterminant
Calculates the determinant of the SingleBandMatrix.
(Overrides SingleMatrixGetDeterminant.)
Public methodGetDiagonal
Gets a vector view of the diagonal elements of this instance.
(Inherited from SingleMatrix.)
Public methodGetDiagonal(Int32)
Gets a vector view of the diagonal elements of this instance.
(Overrides SingleMatrixGetDiagonal(Int32).)
Public methodGetExponential
Computes the matrix exponential of a square matrix.
(Inherited from SingleMatrix.)
Public methodGetHashCode
Returns the hash code for this instance.
(Inherited from SingleMatrix.)
Public methodGetInverse
Calculates the inverse matrix.
(Overrides SingleMatrixGetInverse.)
Public methodGetObjectData
Populates a SerializationInfo with the data needed to serialize the target object.
(Overrides SingleMatrixGetObjectData(SerializationInfo, StreamingContext).)
Public methodGetPseudoInverse
Calculates the Moore-Penrose pseudo-inverse of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetRow(Int32)
Returns a row SingleVector for this instance that points at the specified row.
(Inherited from SingleMatrix.)
Public methodGetRow(Int32, Range)
Returns a row SingleVector for this instance starting at the specified row and column and of the specified length.
(Inherited from SingleMatrix.)
Public methodGetRow(Int32, Int32, Int32)
Returns a row SingleVector for this instance over the specified range.
(Inherited from SingleMatrix.)
Public methodGetRow(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).)
Public methodGetRowEnumerator Obsolete.
Returns an IEnumerator instance that allows you to enumerate the rows of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetRowSums
Returns the sums of the components of each row of the matrix.
(Inherited from SingleMatrix.)
Public methodGetSingularValues
Gets a vector containing the singular values of the matrix.
(Inherited from SingleMatrix.)
Public methodGetSubmatrix(Range, Range)
Gets a SingleMatrix that is a submatrix of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetSubmatrix(Range, Range, TransposeOperation)
Gets a SingleMatrix that is a submatrix of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetSubmatrix(Int32, Int32, Int32, Int32)
Gets a SingleMatrix that is a submatrix of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation)
Gets a SingleMatrix that is a submatrix of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodGetValue
Gets the matrix component at the specified position.
(Overrides SingleMatrixGetValue(Int32, Int32).)
Public methodInfinityNorm
Returns the infinity norm of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodIsComponentWritable
Returns a value that indicates whether the value of the component at the specified row and column can be changed.
(Overrides SingleMatrixIsComponentWritable(Int32, Int32).)
Public methodIsSingular
Gets a value indicating whether the SingleSymmetricMatrix is singular.
(Overrides SingleMatrixIsSingular.)
Public methodMax
Returns the value of the largest component in this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodMin
Returns the value of the smallest component in this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodMultiply(Single)
Multiplies this SingleMatrix by a scalar factor.
(Overrides SingleMatrixMultiply(Single).)
Public methodMultiply(MatrixOperationSide, TransposeOperation, TransposeOperation, SingleMatrix)
Multiplies this SingleMatrix by another matrix and returns the result.
(Inherited from SingleMatrix.)
Public methodOneNorm
Returns the 1-norm of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodPermuteColumns
Permutes the columns of the matrix using the specified Permutation.
(Inherited from SingleMatrix.)
Public methodPermuteRows
Permutes the rows of the matrix using the specified Permutation.
(Inherited from SingleMatrix.)
Public methodPermuteRowsAndColumns(Permutation)
Permutes the rows and columns of the matrix using the specified Permutation.
(Inherited from SingleMatrix.)
Public methodPermuteRowsAndColumns(Permutation, Permutation)
Permutes the rows and columns of the matrix using the specified row and column Permutation.
(Inherited from SingleMatrix.)
Public methodRank
Returns the numerical rank of a matrix.
(Inherited from SingleLinearTransformation.)
Public methodRank(Single)
Returns the numerical rank of a matrix using the specified tolerance.
(Inherited from SingleMatrix.)
Public methodScaleColumns
Scales the columns of the matrix by the values specified by a vector.
(Inherited from SingleMatrix.)
Public methodScaleRows
Scales the rows of the matrix by the values specified by a vector.
(Inherited from SingleMatrix.)
Public methodSetToZero
Sets all elements of the matrix to zero.
(Inherited from SingleMatrix.)
Public methodSetValue(Single)
Sets all elements of the matrix to the specified value.
(Inherited from SingleMatrix.)
Public methodSetValue(Single, Int32, Int32)
Sets the matrix component at the specified position to the specified value.
(Overrides SingleMatrixSetValue(Single, Int32, Int32).)
Public methodShallowCopy
Makes a shallow copy of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodSolve(SingleMatrix)
Solves the system of linear equations for the specified right-hand side SingleMatrix.
(Inherited from SingleLinearTransformation.)
Public methodSolve(SingleVector)
Solves the system of linear equations for the specified right-hand side SingleVector.
(Inherited from SingleLinearTransformation.)
Public methodSolve(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).)
Public methodSolve(SingleDenseVector, Boolean)
Solves the system of simultaneous linear equations for the specified right-hand side SingleVector.
(Overrides SingleMatrixSolve(SingleDenseVector, Boolean).)
Public methodSolveTranspose(SingleMatrix)
Solves the transposed system of linear equations for the specified right-hand side SingleMatrix.
(Inherited from SingleLinearTransformation.)
Public methodSolveTranspose(SingleVector)
Solves the system of linear equations for the specified right-hand side SingleVector.
(Inherited from SingleLinearTransformation.)
Public methodSolveTranspose(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).)
Public methodSolveTranspose(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).)
Public methodSwapColumns
Swaps the columns with the specified indices.
(Inherited from SingleMatrix.)
Public methodSwapRows
Swaps the rows with the specified indices.
(Inherited from SingleMatrix.)
Public methodToArray
Gets the components of the vector.
(Inherited from SingleMatrix.)
Public methodToArray(MatrixElementOrder)
Gets the components of the vector.
(Overrides SingleMatrixToArray(MatrixElementOrder).)
Public methodToDenseMatrix
Makes a copy of this instance and returns it as a SingleDenseMatrix.
(Inherited from SingleMatrix.)
Public methodToDoublePrecision
Returns a double-precision equivalent of the matrix.
(Overrides SingleMatrixToDoublePrecision.)
Public methodToGeneralBandMatrix
Makes a copy of this instance and returns it as a general SingleBandMatrix.
Public methodToGeneralBandMatrix(Boolean)
Makes a copy of this instance and returns it as a general SingleBandMatrix.
Public methodToGeneralMatrix Obsolete.
Makes a copy of this instance and returns it as a SingleDenseMatrix.
(Inherited from SingleMatrix.)
Public methodToString
Returns a String representation of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodToString(String)
Returns a String representation of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodToString(String, IFormatProvider)
Returns a String representation of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodTrace
Gets the sum of the diagonal elements of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodTranspose
Returns the transpose of this instance.
(Inherited from SingleMatrix.)
Public methodTwoNorm
Returns the two-norm of this SingleMatrix.
(Inherited from SingleMatrix.)
Public methodUnscaleColumns
Scales the columns of the matrix by the inverse of the values specified by a vector.
(Inherited from SingleMatrix.)
Public methodUnscaleRows
Scales the rows of the matrix by the inverse of the values specified by a vector.
(Inherited from SingleMatrix.)
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Operators

  NameDescription
Public operatorStatic member(BandMatrix to SingleBandMatrix)
Converts a double-precision band matrix to its single-precision equivalent.
Public operatorStatic member(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
See Also

Reference

Extreme.Mathematics.LinearAlgebra Namespace

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