Matrix Members

Matrix Class Constructors Methods Operators Properties See Also

The Matrix type exposes the following members.

Constructors

	Name	Description
	Matrix	Overloaded.

Methods

	Name	Description
	Abs	Returns a matrix whose components are the absolute values of the components of another matrix.
	AbsoluteMax	Returns the value of the component in this matrix that has the largest absolute value.
	AbsoluteMin	Returns the value of the component in this matrix that has the smallest absolute value.
	Acos	Returns a matrix whose components are the inverse cosine of the components of another matrix.
	Add	Overloaded.
	AddProductToVector	Multiplies a Vector by this Matrix and stores the result in a second vector of type DenseVector. (Overrides LinearOperator..::..AddProductToVector(Double, Vector, TransposeOperation, Double, DenseVector).)
	Apply	Overloaded.
	ApplyToColumns	Overloaded.
	ApplyToRows	Overloaded.
	AsDenseMatrix	Returns this matrix as a dense matrix.
	AsGeneralMatrix	Obsolete. Returns this matrix as a dense matrix.
	Asin	Returns a matrix whose components are the inverse sine of the components of another matrix.
	Atan	Returns a matrix whose components are the inverse tangent of the components of another matrix.
	Atan2	Returns a matrix whose components are the inverse tangent of the components of another matrix.
	Ceiling	Returns a matrix whose components are the components of another matrix rounded up to the nearest integer.
	Clip	Returns a matrix whose components are the components of a matrix constrained to be within the specified interval.
	Clone	Overloaded.
	CloneData	Gives this instance its own copy of its elements.
	CloneShape	Creates a new matrix that has the same number of rows and columns and optionally preserves the writable structure.
	ComponentwiseDivide	Overloaded.
	ComponentwiseMultiply	Overloaded.
	ConditionNumber	Calculates the ratio of the largest to the smallest singular value of a matrix.
	CopyTo	Copies the components of this matrix to another matrix.
	Cos	Returns a matrix whose components are the cosines of the components of another matrix.
	Cosh	Returns a matrix whose components are the hyperbolic cosines of the components of another matrix.
	Create	Overloaded. Constructs a new matrix.
	CreateBanded	Overloaded.
	CreateConstant	Constructs a new constant matrix.
	CreateDiagonal	Overloaded.
	CreateLowerBanded	Constructs an upper or lower band matrix
	CreateLowerTriangular	Overloaded.
	CreateSparse	Overloaded.
	CreateSparseSymmetric	Overloaded.
	CreateSymmetric	Overloaded.
	CreateSymmetricBanded	Constructs a symmetric band matrix.
	CreateUpperBanded	Constructs an upper or lower band matrix
	CreateUpperTriangular	Overloaded.
	Determinant	Calculates the determinant of a matrix.
	Divide	Divides a matrix by a scalar.
	Equals	Overloaded.
	EstimateConditionNumber	Overloaded.
	Exp	Returns a matrix whose components are the exponential of the components of another matrix.
	Finalize	Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection. (Inherited from Object.)
	Floor	Returns a matrix whose components are the components of another matrix rounded down to the nearest integer.
	FrobeniusNorm	Returns the Frobenius norm of this matrix.
	GetCholeskyDecomposition	Overloaded.
	GetColumn	Overloaded. Returns a column or part of a column of this Matrix.
	GetColumnEnumerator	Obsolete. Gets an IEnumerator than can be used to enumerate the columns of this Matrix.
	GetColumnSums	Returns the sums of the components of each column of the matrix.
	GetComponents	Overloaded.
	GetConditionNumber	Calculates the condition number of this matrix.
	GetDeterminant	Calculates the determinant of this matrix. (Overrides LinearOperator..::..GetDeterminant()()()().)
	GetDiagonal	Overloaded.
	GetEigenvalueDecomposition	Overloaded.
	GetExponential	Computes the matrix exponential of a square matrix.
	GetHashCode	Overloaded.
	GetInverse	Overloaded.
	GetLUDecomposition	Overloaded.
	GetObjectData	Populates a SerializationInfo with the values needed to serialize the target object. (Overrides LinearOperator..::..GetObjectData(SerializationInfo, StreamingContext).)
	GetParallelColumnEnumerator	Obsolete. Returns a Partitioner instance that allows you to enumerate the columns of this Matrix in parallel.
	GetParallelRowEnumerator	Obsolete. Returns a Partitioner instance that allows you to enumerate the rows of this Matrix in parallel.
	GetPseudoInverse	Calculates the Moore-Penrose pseudo-inverse of this matrix.
	GetQRDecomposition	Overloaded.
	GetRow	Overloaded. Returns a row or part of a row of this Matrix.
	GetRowEnumerator	Obsolete. Returns an IEnumerator instance that allows you to enumerate the rows of this Matrix.
	GetRowSums	Returns the sums of the components of each row of the matrix.
	GetSingularValueDecomposition	Overloaded.
	GetSingularValues	Gets a vector containing the singular values of the matrix.
	GetSubmatrix	Overloaded.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetValue	Gets the matrix component at the specified position.
	Hypot	Returns a matrix whose components are the hypotenuse of the triangle whose lengths are the components of two other matrices.
	InfinityNorm	Returns the infinity norm of this matrix.
	Inverse	Calculates the inverse of a matrix.
	IsComponentWritable	Returns a value that indicates whether the value of the component at the specified row and column can be changed.
	IsSingular	Gets a value indicating whether this matrix is singular. (Overrides LinearOperator..::..IsSingular()()()().)
	Log	Overloaded.
	Log10	Returns a matrix whose components are the base 10 logarithms of the components of another matrix.
	MatrixExponential	Computes the matrix exponential of a square matrix.
	MatrixPower	Computes the matrix raised to the specified power.
	Max	Overloaded.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Min	Overloaded.
	Multiply	Overloaded.
	MultiplyTranspose	Overloaded.
	NormInternal	Calculates a matrix norm.
	OneNorm	Returns the 1-norm of this matrix.
	PermuteColumns	Permutes the columns of the matrix using the specified Permutation.
	PermuteRows	Permutes the rows of the matrix using the specified Permutation.
	PermuteRowsAndColumns	Overloaded.
	Pow	Overloaded.
	PseudoInverse	Calculates the Moore-Penrose pseudo-inverse of a matrix.
	Rank	Overloaded. Returns the numerical rank of the matrix.
	Reciprocal	Returns a matrix whose components are the inverses (reciprocals) of the components of another matrix.
	Round	Returns a matrix whose components are the components of another matrix rounded to the nearest integer.
	ScaleColumns	Scales the columns of the matrix by the values specified by a vector.
	ScaleRows	Scales the rows of the matrix by the values specified by a vector.
	SetToZero	Sets all elements of the matrix to zero.
	SetValue	Overloaded.
	ShallowCopy	Makes a shallow copy of this matrix.
	Sin	Returns a matrix whose components are the sines of the components of another matrix.
	Sinh	Returns a matrix whose components are the hyperbolic sines of the components of another matrix.
	Solve	Overloaded. Solves the system of simultaneous linear equations represented by this instance.
	SolveTo	Solves the system for the specified right-hand side. (Inherited from LinearOperator.)
	SolveTranspose	Overloaded. Solves the transposed system of simultaneous linear equations represented by this instance.
	SolveTransposeTo	Solves the transposed system for the specified right-hand side. (Inherited from LinearOperator.)
	SortColumns	Overloaded.
	SortRows	Overloaded.
	Sqrt	Returns a matrix whose components are the square roots of the components of another matrix.
	Subtract	Subtracts two matrix objects.
	SwapColumns	Swaps the columns with the specified indices.
	SwapRows	Swaps the rows with the specified indices.
	Tan	Returns a matrix whose components are the tangents of the components of another matrix.
	Tanh	Returns a matrix whose components are the hyperbolic tangents of the components of another matrix.
	ToArray	Overloaded.
	ToDenseMatrix	Makes a copy of this instance and returns it as a dense matrix.
	ToGeneralMatrix	Obsolete. Makes a copy of this instance and returns it as a dense matrix.
	ToString	Overloaded.
	Trace	Gets the sum of the diagonal elements of this matrix.
	Transpose	Returns the transpose of this instance.
	TwoNorm	Returns the two-norm of this matrix.
	UnscaleColumns	Scales the columns of the matrix by the inverse of the values specified by a vector.
	UnscaleRows	Scales the rows of the matrix by the inverse of the values specified by a vector.

Operators

	Name	Description
	Addition	Adds two matrix objects.
	AdditionAssignment	Overloaded.
	Division	Divides a matrix by a scalar.
	DivisionAssignment	Divides a matrix by a constant in place.
	DotDivide	Returns the elementwise quotient of two matrices.
	DotDivideEquals	Divides the components of a matrix by the corresponding components of another matrix.
	DotMultiply	Returns the elementwise product of two matrices.
	DotMultiplyEquals	Multiplies the components of a matrix by the corresponding components of another matrix.
	Equality	Returns a value indicating whether two instances of matrix are equal.
	Inequality	Returns a value indicating whether two instances of matrix are not equal.
	Multiply	Overloaded.
	MultiplyAssignment	Multiplies a matrix by a constant in place.
	Subtraction	Subtracts two matrix objects.
	SubtractionAssignment	Overloaded.

Properties

	Name	Description
	ColumnCount	Gets the number of columns in the matrix. (Overrides LinearOperator..::..ColumnCount.)
	Columns	Gets the ColumnCollection for this instance.
	ColumnwiseComponents	Enumerates the components of the matrix column by column.
	ElementOrder	Gets a value indicating the order in which the matrix elements are stored.
	IsLowerTriangular	Gets a value that indicates if all components of the matrix above the main diagonal are zero.
	IsSparse	Gets a value that indicates whether the matrix is sparse.
	IsSymmetrical	Gets a value that indicates if the matrix is symmetrical about the main diagonal.
	IsUnitDiagonal	Gets a value indicating whether all diagonal elements of this instance are equal to 1.
	IsUpperTriangular	Gets a value that indicates if all components of the matrix below the main diagonal are zero.
	Item	Overloaded.
	NonzeroComponents	Gets a collection of the nonzero components of the matrix.
	RowCount	Gets the number of rows in the matrix. (Overrides LinearOperator..::..RowCount.)
	Rows	Gets the RowCollection for this instance.
	RowwiseComponents	Enumerates the components of the matrix column by column.
	WritableComponents	Enumerates the writable components of the matrix column by column.