Extreme.Mathematics.LinearAlgebra.Complex Namespace

Extreme Optimization Numerical Libraries for .NET Professional

The Extreme.LinearAlgebra namespace contains classes for working with complex vectors, matrices and matrix decompositions, and for solving systems of simultaneous linear equations and least squares problems.

Classes

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	Class	Description
	ComplexBandVector	Represents a complex vector that has one or more zero components at the beginning and/or at the end.
	ComplexCholeskyDecomposition	Represents the Cholesky decomposition of a positive-definite ComplexHermitianMatrix.
	ComplexConstantMatrix	Represents a complex matrix whose components all have the same value..
	ComplexConstantVector	Represents a vector whose components are all the same.
	ComplexDecomposition	Represents a matrix decomposition.
	ComplexDenseMatrix	Represents a general, dense, square or rectangular ComplexMatrix.
	ComplexDenseVector	Represents a complex vector with arbitrary components.
	ComplexDiagonalMatrix	Represents a matrix whose only nonzero components lie on a diagonal.
	ComplexHermitianMatrix	Represents a ComplexMatrix that is symmetrical about the main diagonal.
	ComplexLeastSquaresSolver	Represents the solution to a least squares problem.
	ComplexLinearOperator	Defines methods for the solution of a system of simultaneous linear equations and related operations.
	ComplexLUDecomposition	Represents the LU decomposition of a ComplexMatrix.
	ComplexMatrixView	Represents a view on all or part of a ComplexMatrix.
	ComplexQRDecomposition	Represents the QR decomposition of a ComplexMatrix.
	ComplexSingularValueDecomposition	Represents the singular value decomposition of a matrix.
	ComplexTriangularMatrix	Represents a ComplexMatrix whose elements above or below the main diagonal are zero.
	ComplexVectorView	Represents a view on all or part of a complex vector.
	ComposedComplexMatrix	Represents a complex matrix that is composed from real matrices that represent the real and imaginary components.
	ComposedComplexVector	Represents a complex vector with arbitrary components.
	SingleComplexBandVector	Represents a ComplexVector that has one or more zero components at the beginning and/or at the end.
	SingleComplexCholeskyDecomposition	Represents the Cholesky decomposition of a positive-definite SingleComplexHermitianMatrix.
	SingleComplexConstantVector	Represents a vector whose components are all the same.
	SingleComplexDecomposition	Represents a matrix decomposition.
	SingleComplexDenseMatrix	Represents a general, dense, square or rectangular SingleComplexMatrix.
	SingleComplexDenseVector	Represents a ComplexVector with arbitrary components.
	SingleComplexHermitianMatrix	Represents a SingleComplexMatrix that is symmetrical about the main diagonal.
	SingleComplexLeastSquaresSolver	Represents the solution to a least squares problem.
	SingleComplexLinearTransformation	Defines methods for the solution of a system of simultaneous linear equations and related operations.
	SingleComplexLUDecomposition	Represents the LU decomposition of a general SingleComplexMatrix.
	SingleComplexMatrixView	Represents a view on all or part of a SingleComplexMatrix.
	SingleComplexQRDecomposition	Represents the QR decomposition of a SingleComplexMatrix.
	SingleComplexSingularValueDecomposition	Represents the singular value decomposition of a complex matrix.
	SingleComplexTriangularMatrix	Represents a SingleComplexMatrix whose elements above or below the main diagonal are zero.
	SingleComplexVectorView	Represents a view on all or part of a ComplexVector.

Structures

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	Structure	Description
	ComplexColumnCollection	Represents the collection of columns of a ComplexMatrix.
	ComplexRowCollection	Represents the collection of rows of a ComplexMatrix.
	SingleComplexColumnCollection	Represents the collection of columns of a SingleComplexMatrix.
	SingleComplexRowCollection	Represents the collection of rows of a SingleComplexMatrix.

Interfaces

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	Interface	Description
	IComplexLeastSquaresSolver	Represents an object that can solve a system of linear equations in the least squares sense.
	IComplexStorage	Represents the interface that allows access to an object's internal storage of double-precision floating-point numbers.
	ISingleComplexLeastSquaresSolver	Represents an object that can solve a system of linear equations in the least squares sense.
	ISingleComplexStorage	Represents the interface that allows access to an object's internal storage of double-precision floating-point numbers.

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