[SerializableAttribute]
public sealed class SparseCompressedColumnMatrix<T> : SparseMatrix<T>, 
	IResizableMatrix<T>, ISerializable

<SerializableAttribute>
Public NotInheritable Class SparseCompressedColumnMatrix(Of T)
	Inherits SparseMatrix(Of T)
	Implements IResizableMatrix(Of T), ISerializable

[SerializableAttribute]
generic<typename T>
public ref class SparseCompressedColumnMatrix sealed : public SparseMatrix<T>, 
	IResizableMatrix<T>, ISerializable

[<SealedAttribute>]
[<SerializableAttribute>]
type SparseCompressedColumnMatrix<'T> =  
    class
        inherit SparseMatrix<'T>
        interface IResizableMatrix<'T>
        interface ISerializable
    end

Type Parameters

T

The SparseCompressedColumnMatrixT type exposes the following members.

	Name	Description
	SparseCompressedColumnMatrixT(Int32, Int32)	Obsolete. Constructs a new matrix in compressed sparse column format.
	SparseCompressedColumnMatrixT(Int32, Int32, Double)	Obsolete. Constructs a new matrix in compressed sparse column format.
	SparseCompressedColumnMatrixT(Int32, Int32, Int32)	Obsolete. Constructs a new matrix in compressed sparse column format.
	SparseCompressedColumnMatrixT(Int32, Int32, Int32, Int32, T)	Obsolete. Constructs a new matrix in compressed sparse column format.

	Name	Description
	CanReshape	Gets whether the matrix can be reshaped into a vector or a matrix. (Inherited from MatrixT.)
	ColumnCount	Gets the number of columns in the matrix. (Inherited from LinearOperatorT.)
	ColumnIndex	Gets or sets the index of labels for the columns of the matrix. (Inherited from LinearOperatorT.)
	Columns	Gets the ColumnCollection for this instance. (Inherited from MatrixT.)
	ColumnwiseComponents	Enumerates the elements of the matrix column by column. (Inherited from MatrixT.)
	DiagonalMode	Obsolete. Gets a value that indicates whether the diagonal elements of a triangular sparse matrix are all equal to 1. (Inherited from SparseMatrixT.)
	ElementOrder	Gets a value indicating the order in which the matrix elements are stored. (Overrides MatrixTElementOrder.)
	ElementType	Gets the element type of the matrix. (Inherited from LinearOperatorT.)
	FillFactor	Gets the fraction of nonzero components in the matrix. (Inherited from SparseMatrixT.)
	IsHermitian	Gets a value that indicates if the matrix is Hermitian about the main diagonal. (Inherited from MatrixT.)
	IsLowerTriangular	Gets a value indicating whether this instance is lower triangular. (Overrides MatrixTIsLowerTriangular.)
	IsSparse	Gets a value that indicates whether the matrix is sparse. (Inherited from SparseMatrixT.)
	IsSymmetrical	Gets a value that indicates if the matrix is symmetrical about the main diagonal. (Overrides MatrixTIsSymmetrical.)
	IsUnitDiagonal	Gets a value indicating whether all diagonal elements of this instance are equal to 1. (Inherited from MatrixT.)
	IsUpperTriangular	Gets a value indicating whether this instance is triangleMode triangular. (Overrides MatrixTIsUpperTriangular.)
	ItemInt32, Range	Gets or sets the components of a row of this matrix. (Inherited from MatrixT.)
	ItemInt32, Int32	Gets or sets the specified element in this matrix. (Inherited from MatrixT.)
	ItemRange, Range	Gets or sets the components of a submatrix of this matrix. (Inherited from MatrixT.)
	ItemRange, Int32	Gets or sets the components of a column of this matrix. (Inherited from MatrixT.)
	MatrixDiagonal	Gets a value indicating whether all diagonal elements of this instance are structurally equal to 1. (Inherited from MatrixT.)
	MatrixTriangle	Gets a value that indicates whether a triangular matrix is upper or lower triangular. (Inherited from MatrixT.)
	NonzeroComponents	Gets a collection of the nonzero elements of the matrix. (Overrides MatrixTNonzeroComponents.)
	NonzeroCount	Gets the number of nonzero components in the matrix. (Inherited from SparseMatrixT.)
	Precedence	Infrastructure. This property supports the Numerical Libraries for .NET infrastructure and is not intended to be used directly from your code. (Inherited from MatrixT.)
	RowCount	Gets the number of rows in the matrix. (Inherited from LinearOperatorT.)
	RowIndex	Gets or sets the index of labels for the rows of the matrix. (Inherited from LinearOperatorT.)
	Rows	Gets the RowCollection for this instance. (Inherited from MatrixT.)
	RowwiseComponents	Enumerates the elements of the matrix column by column. (Inherited from MatrixT.)
	Structure	Gets a value that indicates the structure of the sparse matrix. (Inherited from MatrixT.)
	TriangleMode	Obsolete. Gets a value that indicates whether a TriangularMatrixT is upper or lower triangular. (Inherited from SparseMatrixT.)
	WritableComponents	Enumerates the writable elements of the matrix column by column. (Inherited from MatrixT.)

	Name	Description
	AbsoluteMax	Returns the value of the element in this matrix that has the largest absolute value. (Inherited from MatrixT.)
	AbsoluteMin	Returns the value of the element in this matrix that has the smallest absolute value. (Inherited from MatrixT.)
	AcoshInPlace	Computes the inverse hyperbolic cosine of the elements of a matrix in-place. (Inherited from MatrixT.)
	AcosInPlace	Computes the inverse cosine of the elements of a matrix in-place. (Inherited from MatrixT.)
	Add(T)	Obsolete. Adds a constant to a matrix and returns the result. (Inherited from MatrixT.)
	AddAt	Adds a value to the component at the specified location. (Overrides SparseMatrixTAddAt(Int32, Int32, T).)
	AddInPlace(T)	Adds a scalar to a matrix. (Inherited from MatrixT.)
	AddInPlace(MatrixT)	Adds another matrix to this matrix in-place. (Inherited from MatrixT.)
	AddProductInPlace(MatrixT, MatrixT)	Adds the product of two DenseMatrix object to this matrix. (Inherited from MatrixT.)
	AddProductInPlace(MatrixT, TransposeOperation, MatrixT, TransposeOperation)	Adds the product of two DenseMatrix object to this matrix. (Inherited from MatrixT.)
	AddProductToVector	Obsolete. Multiplies a VectorT by this instance and stores the result in a second vector of type DenseVectorT. (Inherited from LinearOperatorT.)
	AddScaledInPlace	Adds a scaled matrix to this matrix. (Inherited from MatrixT.)
	AddScaledProductInPlace(T, MatrixT, MatrixT)	Adds a multiple of the product of two DenseMatrix object to this matrix. (Inherited from MatrixT.)
	AddScaledProductInPlace(T, MatrixT, TransposeOperation, MatrixT, TransposeOperation)	Adds the scaled product of two matrices to another matrix. (Inherited from MatrixT.)
	AggregateColumnsU(AggregatorGroupU)	Applies the specified aggregator to all the columns in the matrix. (Inherited from MatrixT.)
	AggregateColumnsU(AggregatorGroupU)	Applies the specified aggregators to all the columns in the matrix. (Inherited from MatrixT.)
	AggregateColumnsU(FuncVectorT, U)	Applies the specified aggregators to all the columns in the matrix. (Inherited from MatrixT.)
	AggregateColumnsByU(IGrouping, AggregatorGroupU)	Returns a new matrix that aggregates the columns according to the specified grouping. (Inherited from MatrixT.)
	AggregateColumnsByK, U(IListK, AggregatorGroupU)	Returns a new matrix that aggregates the columns grouped by the specified vector. (Inherited from MatrixT.)
	AggregateColumnsByC, U(C, AggregatorGroupU)	Returns a new matrix that aggregates the columns grouped by the specified column. (Inherited from MatrixT.)
	AggregateColumnsByC, U(C, FuncVectorT, U)	Applies the specified aggregation function to the values in each column grouped by the specified grouping column. (Inherited from MatrixT.)
	AggregateRowsU(AggregatorGroupU)	Applies the specified aggregator to all the rows in the matrix. (Inherited from MatrixT.)
	AggregateRowsU(AggregatorGroupU)	Applies the specified aggregators to all the rows in the matrix. (Inherited from MatrixT.)
	AggregateRowsU(FuncVectorT, U)	Applies the specified aggregators to all the rows in the matrix. (Inherited from MatrixT.)
	AggregateRowsByU(IGrouping, AggregatorGroupU)	Returns a new matrix that aggregates the rows according to the specified grouping. (Inherited from MatrixT.)
	AggregateRowsByK, U(IListK, AggregatorGroupU)	Returns a new matrix that aggregates the rows grouped by the specified vector. (Inherited from MatrixT.)
	AggregateRowsByC, U(C, AggregatorGroupU)	Returns a new matrix that aggregates the rows grouped by the specified row. (Inherited from MatrixT.)
	AggregateRowsByR, U(R, FuncVectorT, U)	Applies the specified aggregation function to the values in each row grouped by the specified grouping row. (Inherited from MatrixT.)
	AsDenseMatrix	Returns this matrix as a dense matrix. (Inherited from MatrixT.)
	AsinhInPlace	Computes the inverse hyperbolic sine of the elements of a matrix in-place. (Inherited from MatrixT.)
	AsinInPlace	Computes the inverse sine of the elements of a matrix in-place. (Inherited from MatrixT.)
	AtanhInPlace	Computes the inverse hyperbolic tangent of the elements of a matrix in-place. (Inherited from MatrixT.)
	AtanInPlace	Computes the inverse tangent of the elements of a matrix in-place. (Inherited from MatrixT.)
	Clone	Constructs a deep copy of this matrix. (Inherited from MatrixT.)
	Clone(CloningMethod)	Makes a copy of this vector using the specified method. (Overrides MatrixTClone(CloningMethod).)
	CloneData	Gives this instance its own copy of its elements. (Overrides MatrixTCloneData.)
	CloneShape	Creates a new matrix that has the same number of rows and columns and optionally preserves the writable structure. (Inherited from MatrixT.)
	Compact	Sets the capacity to the actual number of nonzero components of the SparseCompressedColumnMatrixT.
	ComponentwiseDivide(MatrixT)	Obsolete. Divides the components of this instance by the corresponding components of another matrix. (Inherited from MatrixT.)
	ComponentwiseMultiply(MatrixT)	Obsolete. Multiplies the components of this instance by the corresponding components of another matrix. (Inherited from MatrixT.)
	Conjugate	Returns the transpose of this instance. (Inherited from MatrixT.)
	ConjugateTranspose	Returns the transpose of this instance. (Inherited from MatrixT.)
	CopyTo(MatrixT)	Copies the components of this matrix to another matrix. (Inherited from MatrixT.)
	CopyTo(MatrixT, TransposeOperation)	Copies the components of this matrix to another matrix. (Overrides MatrixTCopyTo(MatrixT, TransposeOperation).)
	CopyToOrClone	Copies the elements of this vector to another matrix, if it exists; otherwise clones the matrix using the specified method. (Inherited from MatrixT.)
	CoshInPlace	Computes the hyperbolic cosine of the elements of a matrix in-place. (Inherited from MatrixT.)
	CosInPlace	Computes the cosine of the elements of a matrix in-place. (Inherited from MatrixT.)
	CreateIdentity	Returns an identity matrix as a sparse matrix.
	Dispose	Releases unmanaged resources. (Inherited from MatrixT.)
	DivideAt	Divides the component at the specified location by a value. (Overrides SparseMatrixTDivideAt(Int32, Int32, T).)
	DivideInPlace	Divides a matrix in-place by a scalar. (Inherited from MatrixT.)
	DropEntries	Removes elements that meet the specified condition.
	ElementwiseDivideInPlace	Divides the components of this instance by the corresponding components of another matrix. (Overrides MatrixTElementwiseDivideInPlace(MatrixT).)
	ElementwiseMultiplyInPlace	Multiplies the components of this instance by the corresponding components of another matrix. (Overrides MatrixTElementwiseMultiplyInPlace(MatrixT).)
	ElementwisePowInPlace(Int32)	Raises the elements of a matrix in-place to a constant power. (Inherited from MatrixT.)
	ElementwisePowInPlace(MatrixT)	Raises this matrix in-place elementwise by another matrix. (Inherited from MatrixT.)
	EnsureWritable	Ensures that the element at the specified index in the vector can be written to. (Inherited from MatrixT.)
	EnsureWritable(Int32, Int32)	Ensures that the element at the specified index in the vector can be written to. (Inherited from MatrixT.)
	EnsureWritable(Int32, Int32, Int32, Int32)	Ensures that the element at the specified index in the vector can be written to. (Inherited from MatrixT.)
	Equals(Object)	Determines whether the specified Object is equal to the current MatrixT. (Inherited from MatrixT.)
	Equals(MatrixT)	Determines whether the specified MatrixT is equal to the current MatrixT. (Inherited from MatrixT.)
	Equals(Object, IEqualityComparer)	Returns whether an object is structurally equal to this instance. (Inherited from MatrixT.)
	EstimateConditionNumber	Calculates an estimate for the condition number of this matrix. (Inherited from MatrixT.)
	ExpInPlace	Computes the exponential of the elements of a matrix in-place. (Inherited from MatrixT.)
	ExtractTriangle	Constructs an upper or lower triangular sparse matrix from a general sparse matrix. (Overrides SparseMatrixTExtractTriangle(MatrixTriangle, MatrixDiagonal).)
	FillMissingValuesInPlace(T)	Replaces all missing values in a matrix with the specified value in-place. (Inherited from MatrixT.)
	FillMissingValuesInPlace(DimensionType, Direction)	Replaces all missing values in each row or column in-place with the previous or next non-missing value. (Inherited from MatrixT.)
	FillMissingValuesInPlace(VectorT, DimensionType)	Replaces all missing values in each row or column of a matrix in-place with the corresponding value from a vector. (Inherited from MatrixT.)
	FillMissingValuesInto(T, MatrixT)	Replaces all missing values in a matrix with the specified value. (Inherited from MatrixT.)
	FillMissingValuesInto(VectorT, DimensionType, MatrixT)	Replaces all missing values in each row or column with the corresponding value from a vector. (Inherited from MatrixT.)
	FillMissingValuesInto(DimensionType, Direction, MatrixT, Int32)	Replaces all missing values in each row or column with the previous or next non-missing value. (Inherited from MatrixT.)
	FrobeniusNorm	Returns the Frobenius norm of this matrix. (Inherited from MatrixT.)
	FromMatrix	Constructs a sparse matrix from a matrix.
	GetCholeskyDecomposition	Returns the Cholesky decomposition of the matrix. (Inherited from MatrixT.)
	GetCholeskyDecomposition(Boolean)	Returns the Cholesky decomposition of the matrix. (Overrides MatrixTGetCholeskyDecomposition(Boolean).)
	GetColumn(Int32)	Returns a column vector for this instance that points at the specified column. (Inherited from MatrixT.)
	GetColumn(Int32, Range)	Returns a column vector for this instance starting at the specified column and row and of the specified length. (Inherited from MatrixT.)
	GetColumn(Int32, Int32, Int32)	Returns a column vector for this instance starting at the specified column and row and of the specified length. (Inherited from MatrixT.)
	GetColumn(Int32, Int32, Int32, Int32)	Returns a column vector for this instance starting at the specified column and row and of the specified length. (Inherited from MatrixT.)
	GetColumn(Int32, Int32, Int32, Int32, Intent)	Returns a column vector for this instance starting at the specified column and row and of the specified length. (Overrides MatrixTGetColumn(Int32, Int32, Int32, Int32, Intent).)
	GetColumnEnumerator(Intent)	Returns an enumerator that allows you to iterate over the columns of this instance. (Inherited from MatrixT.)
	GetColumnOrdering	Returns a permutation corresponding to a column ordering that minimizes fill-in during the LU decomposition of the matrix.
	GetColumnsC	Returns a new matrix that contains only the columns in the specified sequence. (Inherited from MatrixT.)
	GetColumnSums	Returns the sums of the components of each column of the matrix. (Overrides SparseMatrixTGetColumnSums.)
	GetConditionNumber	Calculates the condition number of this matrix. (Inherited from MatrixT.)
	GetDeterminant	Calculates the determinant of this matrix. (Inherited from SparseMatrixT.)
	GetDiagonal	Gets a vector view of the diagonal elements of this instance. (Inherited from MatrixT.)
	GetDiagonal(Int32)	Gets a vector view of the specified diagonal of this instance. (Inherited from MatrixT.)
	GetDiagonal(Int32, Intent)	Gets a vector view of the specified diagonal of this instance. (Overrides MatrixTGetDiagonal(Int32, Intent).)
	GetEigenvalueDecomposition	Returns the eigenvalue decomposition for this matrix. (Inherited from MatrixT.)
	GetEigenvalueDecomposition(Boolean)	Returns the eigenvalue decomposition for this matrix. (Inherited from MatrixT.)
	GetExponential	Computes the matrix exponential of a square matrix. (Inherited from MatrixT.)
	GetHashCode	Returns the hash code for this instance. (Inherited from MatrixT.)
	GetHashCode(IEqualityComparer)	Returns a hash code for this instance. (Inherited from MatrixT.)
	GetHermitianIndefiniteDecomposition	Returns the Hermitian indefinite (Bunch-Kaufman) decomposition of the matrix. (Inherited from MatrixT.)
	GetHermitianIndefiniteDecomposition(Boolean)	Returns the Hermitian indefinite (Bunch-Kaufman) decomposition of the matrix. (Inherited from MatrixT.)
	GetInverse	Calculates the inverse matrix.. (Inherited from LinearOperatorT.)
	GetInverse(Boolean)	Calculates the inverse of this matrix. (Inherited from MatrixT.)
	GetLUDecomposition	Returns the LU decomposition of the matrix. (Inherited from MatrixT.)
	GetLUDecomposition(Boolean)	Returns the LU decomposition of the matrix. (Overrides MatrixTGetLUDecomposition(Boolean).)
	GetNearestColumnC	Gets the column nearest to the specified column key. (Inherited from MatrixT.)
	GetNearestColumnsC	Returns a new matrix that contains only the columns in the specified sequence. (Inherited from MatrixT.)
	GetNearestRowR	Gets the row nearest to the specified row key. (Inherited from MatrixT.)
	GetNearestRowsR	Returns a new matrix that contains only the rows in the specified sequence. (Inherited from MatrixT.)
	GetNonzeroComponents	Returns the nonzero components (Overrides SparseMatrixTGetNonzeroComponents(Int32, Int32).)
	GetObjectData	Populates a SerializationInfo with the values needed to serialize the target object. (Overrides MatrixTGetObjectData(SerializationInfo, StreamingContext).)
	GetParallelColumnEnumerator	Returns a partitioner that allows you to iterate over the rows of this instance in parallel. (Inherited from MatrixT.)
	GetParallelRowEnumerator	Returns a partitioner that allows you to iterate over the rows of this instance in parallel. (Inherited from MatrixT.)
	GetPseudoInverse	Calculates the Moore-Penrose pseudo-inverse of this matrix. (Inherited from MatrixT.)
	GetQRDecomposition	Returns the QR decomposition of the matrix. (Inherited from MatrixT.)
	GetQRDecomposition(Boolean)	Returns the QR decomposition of the matrix. (Inherited from MatrixT.)
	GetRow(Int32)	Returns a row vector for this instance that points at the specified row. (Inherited from MatrixT.)
	GetRow(Int32, Range)	Returns a row vector for this instance starting at the specified row and column and of the specified length. (Inherited from MatrixT.)
	GetRow(Int32, Int32, Int32)	Returns a row vector for this instance over the specified range. (Inherited from MatrixT.)
	GetRow(Int32, Int32, Int32, Int32)	Returns a row vector for this instance starting at the specified row and column and of the specified length. (Inherited from MatrixT.)
	GetRow(Int32, Int32, Int32, Int32, Intent)	Returns a row vector for this instance starting at the specified row and column and of the specified length. (Overrides MatrixTGetRow(Int32, Int32, Int32, Int32, Intent).)
	GetRowEnumerator(Intent)	Returns an enumerator that allows you to iterate over the rows of this instance. (Inherited from MatrixT.)
	GetRowsR	Returns a new matrix that contains only the rows in the specified sequence. (Inherited from MatrixT.)
	GetRowSums	Returns the sums of the components of each row of the matrix. (Overrides SparseMatrixTGetRowSums.)
	GetSingularValueDecomposition	Returns the singular value decomposition of the matrix. (Inherited from MatrixT.)
	GetSingularValueDecomposition(SingularValueDecompositionFactors)	Returns the singular value decomposition of the matrix. (Inherited from MatrixT.)
	GetSingularValueDecomposition(SingularValueDecompositionFactors, Boolean)	Returns the singular value decomposition of the matrix. (Inherited from MatrixT.)
	GetSingularValues	Gets a vector containing the singular values of the matrix. (Inherited from MatrixT.)
	GetSubmatrix(Range, Range)	Gets a MatrixT that is a submatrix of this instance. (Inherited from MatrixT.)
	GetSubmatrix(Range, Range, TransposeOperation)	Gets a MatrixT that is a submatrix of this instance. (Inherited from MatrixT.)
	GetSubmatrix(Int32, Int32, Int32, Int32)	Gets a MatrixT that is a submatrix of this instance. (Inherited from MatrixT.)
	GetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation)	Gets a MatrixT that is a submatrix of this instance. (Inherited from MatrixT.)
	GetSymmetricIndefiniteDecomposition	Returns the symmetric indefinite (Bunch-Kaufman) decomposition of the matrix. (Inherited from MatrixT.)
	GetSymmetricIndefiniteDecomposition(Boolean)	Returns the symmetric indefinite (Bunch-Kaufman) decomposition of the matrix. (Inherited from MatrixT.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetValue(Int32, Int32)	Gets the matrix component at the specified position. (Inherited from MatrixT.)
	GetValue(Int32, Int32)	Gets the matrix component at the specified position. (Inherited from SparseMatrixT.)
	InfinityNorm	Returns the infinity norm of this matrix. (Inherited from MatrixT.)
	InsertClique	Inserts a two-dimensional set of values at the specified positions in the sparse matrix. (Inherited from SparseMatrixT.)
	InsertColumn	Inserts a set of values at the specified column in the sparse matrix. (Inherited from SparseMatrixT.)
	InsertEntries	Inserts a set of values at the specified positions in the sparse matrix. (Inherited from SparseMatrixT.)
	InsertEntry	Inserts a value at the specified position in the sparse matrix. (Overrides SparseMatrixTInsertEntry(T, Int32, Int32).)
	InsertRow	Inserts a set of values at the specified row in the sparse matrix. (Inherited from SparseMatrixT.)
	IsComponentWritable	Obsolete. Returns a value that indicates whether the value of the component at the specified row and column can be changed. (Inherited from MatrixT.)
	IsElementWritable	Gets a value indicating whether the value of the component at the specified column and row can be changed. (Overrides MatrixTIsElementWritable(Int32, Int32).)
	IsMissing	Returns whether the value at the specified index is missing. (Inherited from MatrixT.)
	IsSingular	Gets a value indicating whether this matrix is singular. (Inherited from MatrixT.)
	Log10InPlace	Computes the logarithm of the elements of a matrix in-place. (Inherited from MatrixT.)
	LogInPlace	Computes the logarithm of the elements of a matrix in-place. (Inherited from MatrixT.)
	LogInPlace(T)	Computes the logarithm of the elements of a matrix in-place. (Inherited from MatrixT.)
	MapColumns	Applies a function to each column in a matrix and returns the result as a vector. (Inherited from MatrixT.)
	MapInPlace(FuncT, T)	Applies a function in-place to the elements of a matrix. (Inherited from MatrixT.)
	MapInPlaceU(FuncT, U, T, MatrixU)	Applies a function to the elements of a matrix. (Inherited from MatrixT.)
	MapIntoU(FuncT, U, MatrixU)	Applies a function to the elements of a matrix. (Inherited from MatrixT.)
	MapRows	Applies a function to each column in a matrix and returns the result as a vector. (Inherited from MatrixT.)
	Max	Returns the value of the largest component in this matrix. (Inherited from MatrixT.)
	Min	Returns the value of the smallest element in this matrix. (Inherited from MatrixT.)
	Multiply(MatrixT)	Applies the linear operator to a matrix. (Inherited from LinearOperatorT.)
	Multiply(VectorT)	Applies the linear operator to a vector. (Inherited from LinearOperatorT.)
	Multiply(TransposeOperation, MatrixT)	Obsolete. Multiplies a matrix on the left by this matrix. (Inherited from LinearOperatorT.)
	Multiply(TransposeOperation, VectorT)	Obsolete. Multiplies a vector on the left by this vector. (Inherited from LinearOperatorT.)
	Multiply(MatrixOperationSide, TransposeOperation, TransposeOperation, MatrixT)	Obsolete. Multiplies this matrix by another matrix and returns the result. (Inherited from MatrixT.)
	MultiplyAndAddAsRightFactorCore	Adds the scaled product of two matrices to another matrix. (Inherited from MatrixT.)
	MultiplyAt	Multiplies the component at the specified location by a value. (Overrides SparseMatrixTMultiplyAt(Int32, Int32, T).)
	MultiplyInPlace	Multiplies this matrix by a scalar factor. (Overrides MatrixTMultiplyInPlace(T).)
	MultiplyTranspose(MatrixT)	Applies the transpose of the linear operator to a matrix. (Inherited from LinearOperatorT.)
	MultiplyTranspose(VectorT)	Applies the (conjugate) transpose of the linear operator to a vector. (Inherited from LinearOperatorT.)
	NegateInPlace	Negates a matrix in-place. (Inherited from MatrixT.)
	OneNorm	Returns the 1-norm of this matrix. (Inherited from MatrixT.)
	PermuteColumns	Permutes the columns of the matrix using the specified Permutation. (Overrides MatrixTPermuteColumns(Permutation).)
	PermuteRows	Permutes the rows of the matrix using the specified Permutation. (Overrides MatrixTPermuteRows(Permutation).)
	PermuteRowsAndColumns(Permutation)	Permutes the rows and columns of the matrix using the specified Permutation. (Inherited from MatrixT.)
	PermuteRowsAndColumns(Permutation, Permutation)	Permutes the rows and columns of the matrix using the specified row and column Permutation. (Inherited from MatrixT.)
	Rank	Returns the numerical rank of a matrix. (Inherited from LinearOperatorT.)
	Rank(T)	Returns the numerical rank of a matrix using the specified tolerance. (Inherited from MatrixT.)
	ReduceU	Applies a function to each row or column in a matrix and returns the result as a vector. (Inherited from MatrixT.)
	ReduceColumnsU	Applies a function to each column in a matrix and returns the result as a vector. (Inherited from MatrixT.)
	ReduceRowsU	Applies a function to each column in a matrix and returns the result as a vector. (Inherited from MatrixT.)
	RemoveWithMissingValues	Returns a new matrix that has the rows or columns that contain missing values removed. (Inherited from MatrixT.)
	Reserve	Reserves storage for the specified number of nonzero elements.
	Reshape	Returns a matrix that contains the same elements listed columnwise. (Inherited from MatrixT.)
	ReshapeAsVector	Returns a vector that contains the columnwise matrix elements. (Inherited from MatrixT.)
	ScaleColumns(VectorT)	Obsolete. Scales the columns of the matrix by the values specified by a vector. (Inherited from MatrixT.)
	ScaleColumnsInPlace	Scales the columns of the matrix by the values specified by a vector. (Inherited from MatrixT.)
	ScaleRows(VectorT)	Obsolete. Scales the rows of the matrix by the values specified by a vector. (Inherited from MatrixT.)
	ScaleRowsInPlace	Scales the rows of the matrix by the values specified by a vector. (Inherited from MatrixT.)
	SetToZero	Sets all elements of the matrix to zero. (Inherited from MatrixT.)
	SetValue(T)	Sets all elements of the matrix to the specified value. (Inherited from MatrixT.)
	SetValue(T, Int32, Int32)	Sets the matrix component at the specified position to the specified value. (Inherited from MatrixT.)
	SetValue(T, Int32, Int32)	Sets the matrix component at the specified position to the specified value. (Inherited from SparseMatrixT.)
	ShallowCopy	Makes a shallow copy of this matrix. (Inherited from MatrixT.)
	SinhInPlace	Computes the hyperbolic sine of the elements of a matrix in-place. (Inherited from MatrixT.)
	SinInPlace	Computes the sine of the elements of a matrix in-place. (Inherited from MatrixT.)
	Solve(MatrixT)	Solves the system of linear equations for the specified right-hand side matrix. (Inherited from LinearOperatorT.)
	Solve(VectorT)	Solves the system of linear equations for the specified right-hand side vector. (Inherited from LinearOperatorT.)
	Solve(DenseMatrixT, Boolean)	Solves the system of linear equations for the specified right-hand side dense matrix and optionally overwrites the right-hand side with the solution. (Inherited from LinearOperatorT.)
	Solve(DenseVectorT, Boolean)	Solves the system of linear equations for the specified right-hand side dense vector and optionally overwrites the right-hand side with the solution. (Inherited from LinearOperatorT.)
	SolveInto(TransposeOperation, MatrixT, MatrixT)	Solves a system of equations defined by the matrix and multiple right-hand sides. (Overrides MatrixTSolveInto(TransposeOperation, MatrixT, MatrixT).)
	SolveInto(TransposeOperation, VectorT, VectorT)	Solves a system of equations defined by the matrix and the specified right-hand side. (Overrides MatrixTSolveInto(TransposeOperation, VectorT, VectorT).)
	SolveTranspose(MatrixT)	Solves the transposed system of linear equations for the specified right-hand side matrix. (Inherited from LinearOperatorT.)
	SolveTranspose(VectorT)	Solves the system of linear equations for the specified right-hand side vector. (Inherited from LinearOperatorT.)
	SolveTranspose(DenseMatrixT, Boolean)	Solves the transposed system of linear equations for the specified right-hand side dense matrix and optionally overwrites the right-hand side with the solution. (Inherited from LinearOperatorT.)
	SolveTranspose(DenseVectorT, Boolean)	Solves the transposed system of linear equations for the specified right-hand side dense vector and optionally overwrites the right-hand side with the solution. (Inherited from LinearOperatorT.)
	SortByColumn	Sorts the rows of the matrix in-place so the elements in the specified column are sorted. (Inherited from MatrixT.)
	SortByRow	Sorts the columns of the matrix in-place so the elements in the specified row are sorted. (Inherited from MatrixT.)
	SortColumns	Sorts each column of the matrix in ascending order. (Inherited from MatrixT.)
	SortColumns(SortOrder)	Sorts each column of the matrix in the specified order. (Inherited from MatrixT.)
	SortRows	Sorts each row of the matrix in ascending order. (Inherited from MatrixT.)
	SortRows(SortOrder)	Sorts each row of the matrix in the specified order. (Inherited from MatrixT.)
	SqrtInPlace	Computes the square root of the elements of a matrix in-place. (Inherited from MatrixT.)
	SubtractAt	Subtracts a value from the component at the specified location. (Overrides SparseMatrixTSubtractAt(Int32, Int32, T).)
	SubtractInPlace(T)	Subtracts a scalar value from the elements of this matrix in-place. (Inherited from MatrixT.)
	SubtractInPlace(MatrixT)	Subtracts another matrix from this matrix in-place. (Inherited from MatrixT.)
	Summarize	Returns a summary of the contents of the matrix using the default summary options. (Inherited from MatrixT.)
	Summarize(SummaryOptions)	Returns a summary of the contents of the matrix using the specified options. (Inherited from MatrixT.)
	SwapColumns	Swaps the columns with the specified indices. (Overrides MatrixTSwapColumns(Int32, Int32).)
	SwapRows	Interchanges the specified rows of the matrix. (Overrides SparseMatrixTSwapRows(Int32, Int32).)
	TanhInPlace	Computes the hyperbolic tangent of the elements of a matrix in-place. (Inherited from MatrixT.)
	TanInPlace	Computes the tangent of the elements of a matrix in-place. (Inherited from MatrixT.)
	ToArray	Gets the elements of the vector. (Inherited from MatrixT.)
	ToArray(MatrixElementOrder)	Gets the elements of the vector. (Overrides MatrixTToArray(MatrixElementOrder).)
	ToDataFrameR, C	Converts a matrix to a data frame with the same row and column indexes. (Inherited from MatrixT.)
	ToDataFrameR, C(IndexR, IndexC)	Converts a matrix to a data frame with the same row and column indexes. (Inherited from MatrixT.)
	ToDenseMatrix	Makes a copy of this instance and returns it as a dense matrix. (Inherited from MatrixT.)
	ToString	Returns a String representation of this MatrixT. (Inherited from MatrixT.)
	ToString(String)	Returns a String representation of this MatrixT. (Inherited from MatrixT.)
	ToString(String, IFormatProvider)	Returns a String representation of this MatrixT. (Inherited from MatrixT.)
	Trace	Gets the sum of the diagonal elements of this matrix. (Inherited from MatrixT.)
	Transpose	Returns the transpose of this instance. (Overrides MatrixTTranspose.)
	TryEnsureWritable	Ensures that the element at the specified index in the vector can be written to. (Inherited from MatrixT.)
	TryEnsureWritable(Int32, Int32)	Ensures that the element at the specified index in the vector can be written to. (Inherited from MatrixT.)
	TryEnsureWritable(Int32, Int32, Int32, Int32)	Ensures that the element at the specified index in the vector can be written to. (Inherited from MatrixT.)
	TwoNorm	Returns the two-norm of this matrix. (Inherited from MatrixT.)
	UnscaleColumns(VectorT)	Obsolete. Unscales the columns of the matrix by the reciprocal of the values specified by a vector. (Inherited from MatrixT.)
	UnscaleColumnsInPlace	Unscales the columns of the matrix by the reciprocal of the values specified by a vector. (Inherited from MatrixT.)
	UnscaleRows(VectorT)	Obsolete. Unscales the rows of the matrix by the reciprocal of the values specified by a vector. (Inherited from MatrixT.)
	UnscaleRowsInPlace	Unscales the rows of the matrix by the reciprocal of the values specified by a vector. (Inherited from MatrixT.)

	Name	Description
	MakeDistributedT	Returns a distributed version of a matrix. (Defined by DistributedExtensions.)
	MeanT	Returns the means of the rows or columns of a matrix. (Defined by AggregatorExtensions.)

Use the SparseCompressedColumnMatrixT class to represent sparse matrices. Only the nonzero elements of the matrix are stored. This not only saves memory, but also allows many calculations to be performed faster.

The compressed sparse column format stores the components in column-major order. Within each column, only the row indexes and the values of the nonzero components are stored.

The components of a sparse matrix can be specified in a variety of ways. A common method is to supply the rows, columns, and values of the nonzero components. Another way is to build up the matrix using the

Insert

Sparse matrices can also be read directly from values files in Matrix Market format. Use the MatrixMarketReader for this purpose.

The NonzeroCount property returns the number of nonzero components. The FillFactor property returns a number between 0 and 1 that is the proportion of nonzero components to the total number of components in the matrix. To iterate through the nonzero components of a sparse matrix, use the NonzeroComponents property. This property enumerates RowColumnValueTriplet objects, each containing the row, column, and value of a nonzero component.

A disadvantage of sparse matrices is that working with individual components tends to be slower. Every access usually requires a lookup in a list. To avoid duplicate lookups for elementary operations on components, use one of the specialized methods: AddAt(Int32, Int32, T), SubtractAt(Int32, Int32, T), MultiplyAt(Int32, Int32, T) and DivideAt(Int32, Int32, T).

Numerical Libraries

Reference