MapackMatrix Class

Matrix provides the fundamental operations of numerical linear algebra.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.LinearAlgebraMapackMatrix

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

Syntax

Copy

public class MapackMatrix : IMapackMatrix, 
	IMatrix<double>, IROMatrix<double>

The MapackMatrix type exposes the following members.

Constructors

	Name	Description
	MapackMatrix(Double)	Constructs a matrix from the given array.
	MapackMatrix(Int32, Int32)	Constructs an empty matrix of the given size.
	MapackMatrix(Int32, Int32, Double)	Constructs a matrix of the given size and assigns a given value to all diagonal elements.

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Properties

	Name	Description
	ColumnCount	Returns the number of columns.
	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	Access the value at the given location.
	Norm1	Returns the One Norm for the matrix.
	RowCount	Returns the number of columns.
	Trace	Returns the trace of the matrix.

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Methods

	Name	Description
	Addition	Matrix addition.
	Clone	Creates a copy of the matrix.
	Diagonal	Returns a diagonal matrix of the given size.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetCholeskyDecomposition	Returns the cholesky decomposition for this matrix.
	GetEigenvalueDecomposition	Returns the eigenvalue decomposition for this matrix.
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	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.
	GetType	Gets the Type of the current instance. (Inherited from Object)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	Multiply(Double)	Matrix-scalar multiplication.
	Multiply(IMapackMatrix)	Matrix-matrix multiplication.
	Random	Returns a matrix filled with random values.
	Solve	Returns the LHS solution vetor 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.
	ToString	Returns the matrix in a textual form. (Overrides ObjectToString)
	Transpose	Returns the transposed matrix.
	UnaryMinus	Unary minus.

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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