IMapackMatrix Interface

Matrix provides the fundamental operations of numerical linear algebra.

Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)

Syntax

public interface IMapackMatrix : IMatrix<double>, 
	IROMatrix<double>

The IMapackMatrix type exposes the following members.

Properties

	Name	Description
	ColumnCount	The number of columns of the matrix. (Inherited from IROMatrixT)
	Determinant	Determinant if matrix is square.
	FrobeniusNorm	Returns the Frobenius Norm for the matrix.
	InfinityNorm	Returns the Infinity Norm for the matrix.
	Inverse	Inverse of the matrix if matrix is square, pseudoinverse otherwise.
	IsSquare	Return if the matrix is a square matrix.
	IsSymmetric	Returns if the matrix is symmetric.
	Item	Get / sets an element of the matrix at (row, col). (Inherited from IMatrixT)
	Norm1	Returns the One Norm for the matrix.
	RowCount	The number of rows of the matrix. (Inherited from IROMatrixT)
	Trace	Returns the trace of the matrix.

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Methods

	Name	Description
	Addition	Matrix addition.
	Clone	Creates a copy of the matrix.
	GetCholeskyDecomposition	Returns the cholesky decomposition for this matrix.
	GetEigenvalueDecomposition	Returns the eigenvalue decomposition for this matrix.
	GetLuDecomposition	Returns the LU decomposition for this matrix.
	GetQrDecomposition	Returns the QR decomposition for this matrix.
	GetSingularValueDecomposition	Returns the singular value decomposition for this matrix.
	Multiply(Double)	Matrix-scalar multiplication.
	Multiply(IMapackMatrix)	Matrix-matrix multiplication.
	Solve	Returns the LHS solution vector if the matrix is square or the least squares solution otherwise.
	Submatrix(Int32, Int32)	Returns a sub matrix extracted from the current matrix.
	Submatrix(Int32, Int32, Int32)	Returns a sub matrix extracted from the current matrix.
	Submatrix(Int32, Int32, Int32)	Returns a sub matrix extracted from the current matrix.
	Submatrix(Int32, Int32, Int32, Int32)	Returns a sub matrix extracted from the current matrix.
	Subtraction	Matrix subtraction.
	Transpose	Returns the transposed matrix.

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Extension Methods

	Name	Description
	Any	Determines whether any element of the provided matrix a fulfills the given predicate. (Defined by MatrixMath)
	CopyColumn	Gets the column of a matrix copied into a vector. (Defined by MatrixMath)
	CopyColumn	Gets the column of a matrix copied into a vector. (Defined by MatrixMath)
	CopyColumnDouble	Copies one column of a source matrix into a destination matrix to a given row and column offset. (Defined by MatrixMath)
	CopyRow	Gets the row of a matrix copied into a vector. (Defined by MatrixMath)
	CopyRow	Gets the row of a matrix copied into a vector. (Defined by MatrixMath)
	MapIndexedDouble, T1	(Defined by MatrixMath)
	Max	Get the maximum value of all elements of the specified matrix a. (Defined by MatrixMath)
	Min	Get the minimum value of all elements of the specified matrix a. (Defined by MatrixMath)
	Norm	(Defined by MatrixMath)
	ReplaceNaNAndInfiniteElementsWith	Replaces all matrix elements that are NaN (Not a Number) or infinite with the value of replacementValue. (Defined by MatrixMath)
	ReplaceNaNElementsWith	Replaces all matrix elements that are NaN (not a number) with the value of replacementValue. (Defined by MatrixMath)
	SetColumn	Gets the column of a matrix copied into a vector. (Defined by MatrixMath)
	SetColumn	Gets the column of a matrix copied into a vector. (Defined by MatrixMath)
	SetMatrixElements	Set all matrix elements to the provided value scalar. (Defined by MatrixMath)
	SetMatrixElements	Sets the matrix elements to the value provided by a setter function Setter. (Defined by MatrixMath)
	SetRow	Gets the row of a matrix copied into a vector. (Defined by MatrixMath)
	SetRow	Gets the row of a matrix copied into a vector. (Defined by MatrixMath)
	SubMatrixT	Gets a new submatrix, i.e. a matrix containing selected elements of the original matrix a. (Defined by MatrixMath)
	SubMatrixT	Gets a new submatrix, i.e. a matrix containing selected elements of the original matrix a. (Defined by MatrixMath)
	SubMatrixT	Gets a new submatrix, i.e. a matrix containing selected elements of the original matrix a. (Defined by MatrixMath)
	SubMatrixT	Gets a new submatrix, i.e. a matrix containing selected elements of the original matrix a. (Defined by MatrixMath)
	SubMatrixT	Gets a new submatrix, i.e. a matrix containing selected elements of the original matrix a. (Defined by MatrixMath)
	SubMatrixT	Gets a new submatrix, i.e. a matrix containing selected elements of the original matrix a. (Defined by MatrixMath)
	ToZeroMean	Calculates the mean value of all matrix elements and then subtracts the mean value from each matrix element, so that the mean value of the resulting matrix is zero. (Defined by MatrixMath)
	ToZeroMean	Calculates the mean value of all matrix elements and then subtracts the mean value from each matrix element, so that the mean value of the resulting matrix is zero. (Defined by MatrixMath)
	Trace	Get the trace of square matrix a, i.e. the sum of diagonal elements. (Defined by MatrixMath)
	ZeroMatrix	Set all elements in the matrix to 0 (zero) (Defined by MatrixMath)

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Reference

Altaxo.Calc.LinearAlgebra Namespace