Altaxo.Calc.LinearAlgebra Namespace

[Missing <summary> documentation for "N:Altaxo.Calc.LinearAlgebra"]

Classes

	Class	Description
	BandDoubleMatrix
	CreateMatrix
	CreateVector
	DataColumnWrapper
	DataTableWrapper	Wraps DataColumnCollections to matrices.
	DoubleBandMatrix	Represents a band matrix in compact storage format (stored as a linear array).
	DoubleMatrixInArray1DColumnMajorRepresentation	Wraps a linear array to a read-write matrix. The linear array is in column-major order, i.e. the first elements of the linear array belong to the first column of the matrix (i.e. the row values change more quickly). The index of the linear array is calculated as index = row + column*NumberOfRows. This representation is used for instance by LAPACK, Fortran, Julia, MATLAB, Octave, Scilab, GLSL and HLSL.
	DoubleMatrixInArray1DRowMajorRepresentation	Wraps a linear array to a read-write matrix. The array is in row-major order, i.e. the first elements of the linear array belong to the first row of the matrix (the column values change more quickly). The index of the linear array is calculated as index = column + row * NumberOfColumns. This representation is used for instance by C, C++, Mathematica, Pascal and Python.
	FastNonnegativeLeastSquares	Implementation of an algorithm that finds a vector x with all elements xi>=0 which minimizes \|X*x-y\|.
	GaussianEliminationSolver	Provides implementation of Gaussian elimination with partial pivoting
	GenericVector<T>	Base class of the vector classes. Implements non-arithmetic stuff common to all vectors.
	IntegerVector	Vector of integer elements.
	InvalidContentMatrixException	The exception is thrown when a singular matrix is passed a method not expecting one.
	InvalidDimensionMatrixException	The exception is thrown when a singular matrix is passed a method not expecting one.
	JaggedArrayMath	This provides array math for a special case of matrices, so called jagged arrays.
	JaggedArrayMatrix	JaggedArrayMatrix is a matrix implementation that is relatively easy to extend to the bottom, i.e. to append rows. It is horizontal oriented, i.e. the storage is as a number of horizontal vectors. Furthermore, as a compromise, it provides fully access to its underlying jagged array.
	LinearAlgebraException	Represents errors that occur when using the dnA library.
	LinearlySpacedIntervalByEndCountStep	Defines a linearly spaced closed interval defined by end, number of elements, and step size.
	LinearlySpacedIntervalByEndCountStep.SerializationSurrogate0
	LinearlySpacedIntervalByStartCountStep	Defines a linearly spaced closed interval defined by start, number of elements, and step size.
	LinearlySpacedIntervalByStartCountStep.SerializationSurrogate0
	LinearlySpacedIntervalByStartEndCount	Defines a linearly spaced closed interval defined by start, end, and number of elements.
	LinearlySpacedIntervalByStartEndCount.SerializationSurrogate0
	LinearlySpacedIntervalByStartEndStep	Defines a linearly spaced closed interval defined by start, end and step size.
	LinearlySpacedIntervalByStartEndStep.SerializationSurrogate0
	MapackMatrix	Matrix provides the fundamental operations of numerical linear algebra.
	Matrix<T>	Defines the base class for Matrix classes.
	MatrixBuilder<T>	Generic linear algebra type builder, for situations where a matrix or vector must be created in a generic way. Usage of generic builders should not be required in normal user code.
	MatrixException	Represents errors that occur when using the matrix classes.
	MatrixExtensions
	MatrixMath	Class MatrixMath provides common static methods for matrix manipulation and arithmetic in tow dimensions.
	MatrixMath.LeftSpineJaggedArrayMatrix<T>	BEMatrix is a matrix implementation that is relatively easy to extend to the botton, i.e. to append rows. It is horizontal oriented, i.e. the storage is as a number of horizontal vectors.
	MatrixMath.MatrixColumnROVector<T>	Wrapper for a matrix column to a read-only vector.
	MatrixMath.MatrixColumnVector<T>	Wrapper for a matrix row to a vector.
	MatrixMath.MatrixFromColumnMajorLinearArray<T>	Wraps a linear array to a read-write matrix. The array is column oriented, i.e. consecutive elements belong mostly to one column. This is the convention used for LAPACK routines.
	MatrixMath.MatrixFromRowMajorLinearArray<T>	Wraps a linear array to a read-write matrix. The array is row oriented, i.e. consecutive elements belong mostly to one row.
	MatrixMath.MatrixRowROVector<T>	Wrapper for a row of an existing matrix to a read-only vector.
	MatrixMath.MatrixRowVector<T>	Wrapper for a matrix row to a vector.
	MatrixMath.MatrixWithOneColumn<T>	Implements a vertical vector, i.e. a matrix which has only one column, but many rows.
	MatrixMath.MatrixWithOneRow<T>	Implements a horizontal vector, i.e. a matrix which has only one row, but many columns.
	MatrixMath.ROMatrixFrom2DArray<T>	Wraps a 2d array to a read-only matrix.
	MatrixMath.ROMatrixFromColumnMajorLinearArray<T>	Wraps a linear array to a read-only matrix. The array is column oriented, i.e. consecutive elements belong mostly to one column. This is the convention used for LAPACK routines.
	MatrixMath.ROMatrixFromRowMajorLinearArray<T>	Wraps a linear array to a read-only matrix. The array is column oriented, i.e. consecutive elements belong mostly to one column. This is the convention used for LAPACK routines.
	MatrixMath.RWMatrixFrom2DArray<T>	Wraps a 2D array to a read-only matrix.
	MatrixMath.ScalarAsMatrix<T>	Implements a scalar as a special case of the matrix which has the dimensions (1,1).
	MatrixMath.SingularValueDecomposition	Class to calculate the singular value decomposition.
	MatrixMath.TopSpineJaggedArrayMatrix<T>	REMatrix is a matrix implementation that is relatively easy to extend to the right, i.e. to append columns. It is vertical oriented, i.e. the storage is as a number of vertical vectors.
	NotPositiveDefiniteException	The exception is thrown when a none positive definite matrix is passed a method not expecting one.
	NotSquareMatrixException	The exception is thrown when a none square matrix is passed a method not expecting one.
	RODoubleMatrixInArray1DColumnMajorRepresentation	Wraps a linear array to a read-only matrix. The linear array is in column-major order, i.e. the first elements of the linear array belong to the first column of the matrix (i.e. the row values change more quickly). The index of the linear array is calculated as index = row + column*NumberOfRows. This representation is used for instance by LAPACK, Fortran, Julia, MATLAB, Octave, Scilab, GLSL and HLSL.
	RODoubleMatrixInArray1DRowMajorRepresentation	Wraps a linear array to a read-only matrix. The array is in row-major order, i.e. the first elements of the linear array belong to the first row of the matrix (the column values change more quickly). The index of the linear array is calculated as index = column + row*NumberOfColumns. This representation is used for instance by C, C++, Mathematica, Pascal and Python.
	ROVectorBase<T>
	SingularMatrixException	The exception is thrown when a singular matrix is passed a method not expecting one.
	SparseDoubleVector
	TikhonovRegularizedNonnegativeMatrixFactorization
	Vector<T>	Defines the generic class for Vector classes.
	VectorBuilder<T>	Generic linear algebra type builder, for situations where a matrix or vector must be created in a generic way. Usage of generic builders should not be required in normal user code.
	VectorExtensions
	VectorMath	VectorMath provides common static functions concerning vectors.
	VectorMath.ROVectorWrapperOfIROVector<T>
	VectorMath.VectorWrapperOfIVector<T>
	VectorSpacingEvaluator	Statistics of the spacing between adjacent vector elements. The spaces are defined in the forward direction, i.e. as vec[i+1]-vec[i].

Structures

	Structure	Description
	MatrixWrapperStructForColumnMajorOrderLinearArray<T>	Very thin wrapper structure that wraps a column major order linear array, i.e. consecutive elements of the linear array belong most probably to the same column, to provide information on number of rows and columns. Attention: this is not LAPACK convention (!)).
	MatrixWrapperStructForLeftSpineJaggedArray<T>	Very thin wrapper structure around a jagged array just to provided number of rows and columns along with the array itself. The spine array is oriented vertically, thus access to the array is down by array[row][column].
	MatrixWrapperStructForRowMajorOrderLinearArray<T>	Thin wrapper structure that wraps a row major order linear array, i.e. consecutive elements of the linear array belong most probably to the same row, to provide information on number of rows and columns. Attention: this is not LAPACK convention (!)). If using LAPACK, you need column major order (MatrixWrapperStructForColumnMajorOrderLinearArray<T>).
	MatrixWrapperStructForTopSpineJaggedArray<T>	Very thin wrapper structure around a jagged array just to provided number of rows and columns along with the array itself. The spine array is oriented vertically, i.e. the rows protruding to the right from the spine array. Access to the underlying array is done by array[row][column].
	VectorMath.RODoubleArrayWrapperStructAmendedUnshifted	Serves as thin wrapper struct for an array when additional data at the start and the end of the array are neccessary.
	VectorMath.ROFloatArrayWrapperStructAmendedUnshifted	Serves as thin wrapper struct for an array when additional data at the start and the end of the array are neccessary.
	VectorMath.ROIntArrayWrapperStructAmendedUnshifted	Serves as thin wrapper struct for an array when additional data at the start and the end of the array are neccessary.
	VectorMath.ROSByteArrayWrapperStructAmendedUnshifted	Serves as thin wrapper struct for an array when additional data at the start and the end of the array are neccessary.
	VectorMath.ROShortArrayWrapperStructAmendedUnshifted	Serves as thin wrapper struct for an array when additional data at the start and the end of the array are neccessary.

Interfaces

	Interface	Description
	IBottomExtensibleComplexDoubleMatrix	Extends IComplexDoubleMatrix in a way that another matrix of appropriate dimensions can be appended to the bottom of the matrix.
	IBottomExtensibleComplexFloatMatrix	Extends IComplexFloatMatrix in a way that another matrix of appropriate dimensions can be appended to the bottom of the matrix.
	IBottomExtensibleMatrix<T>	IBottomExtensibleMatrix extends IMatrix in a way that another matrix of appropriate dimensions can be appended to the bottom of the matrix.
	ICholeskyDecomposition	Cholesky Decomposition of a symmetric, positive definite matrix.
	IComplexDoubleMatrix	Represents the simplest form of a 2D matrix of Altaxo.Calc.LinearAlgebra.Complex values, which is readable and writeable.
	IComplexDoubleSequence
	IComplexDoubleVector	Interface for a readable and writeable vector of Complex values.
	IComplexFloatMatrix	Represents the simplest form of a 2D matrix of Complex32 values, which is readable and writeable.
	IComplexFloatSequence
	IComplexFloatVector	Interface for a readable and writeable vector of Complex values.
	IEigenvalueDecomposition	Determines the eigenvalues and eigenvectors of a real square matrix.
	IExtensibleComplexDoubleMatrix	Extends IComplexDoubleMatrix in a way that another matrix of appropriate dimensions can be appended either to the right or to the bottom of the matrix.
	IExtensibleComplexDoubleVector	Special vector to which another vector can be appended to.
	IExtensibleComplexFloatMatrix	Extends IComplexFloatMatrix in a way that another matrix of appropriate dimensions can be appended either to the right or to the bottom of the matrix.
	IExtensibleComplexFloatVector	Special vector to which another vector can be appended to.
	IExtensibleMatrix<T>	IExtensibleMatrix extends IMatrix in a way that another matrix of appropriate dimensions can be appended either to the right or to the bottom of the matrix.
	IExtensibleVector<T>	Extends IVector<T> in a way that another vector can be appended at the end of this vector.
	ILinearEquationSolver<T>	Interface to a solver for linear equations. The procedure can either be non-destructive (keeping the matrix and the vector b), or destructive (not keeping matrix m and vector b). The destructive solving process may be faster, since saving of the matrix and the vector is not required.
	ILuDecomposition	LU decomposition of a rectangular matrix.
	IMapackMatrix	Matrix provides the fundamental operations of numerical linear algebra.
	IMatrix<T>	IMatrix represents the simplest form of a 2D matrix, which is readable and writeable.
	IMatrixInArray1DColumnMajorRepresentation<TElement>	Designates that the matrix is represented as a linear array of TElement values. The linear array is in column-major order, i.e. the first elements of the linear array belong to the first column of the matrix (i.e. the row values change more quickly). The index of the linear array is calculated as index = row + column*NumberOfRows. This representation is used for instance by Fortran, Julia, MATLAB, Octave, Scilab, GLSL and HLSL.
	IMatrixInArray1DRowMajorRepresentation<TElement>	Designates that the matrix is represented as a linear array of TElement values. The array is in row-major order, i.e. the first elements of the linear array belong to the first row of the matrix (the column values change more quickly). The index of the linear array is calculated as index = column + row*NumberOfColumns. This representation is used for instance by C, C++, Mathematica, Pascal and Python.
	IMatrixLevel1<T>
	INumericSequence<T>	Interface to a sequence of elements with unknown length.
	IQrDecomposition	QR decomposition for a rectangular matrix.
	IRightExtensibleComplexDoubleMatrix	Extends IComplexDoubleMatrix in a way that another matrix of appropriate dimensions can be appended to the right of the matrix.
	IRightExtensibleComplexFloatMatrix	Extends IComplexFloatMatrix in a way that another matrix of appropriate dimensions can be appended to the right of the matrix.
	IRightExtensibleMatrix<T>	IRightExtensibleMatrix extends IMatrix in a way that another matrix of appropriate dimensions can be appended to the right of the matrix.
	IROBandMatrix<T>
	IROComplexDoubleMatrix	IROMatrix represents a read-only matrix of Altaxo.Calc.LinearAlgebra.Complex values.
	IROComplexDoubleVector	Interface for a read-only vector of Complex values.
	IROComplexFloatMatrix	IROMatrix represents a read-only matrix of Complex32 values.
	IROComplexFloatVector	Interface for a read-only vector of Complex values.
	IROMatrix<T>	IROMatrix represents a read-only matrix of values.
	IROMatrixLevel1<T>	Operations on matrices which do not change the matrix instance.
	IROSparseMatrix<T>
	ISingularValueDecomposition	Singular Value Decomposition for a rectangular matrix.
	ISpacedInterval
	IVector<T>	Interface for a a readable and writeable vector vector of values.

Enumerations

	Enumeration	Description
	ExistingData
	Symmetricity
	Zeros