• Home
• Features
  • Math Library
  • Vector and Matrix Library
  • Statistics Library
  • Performance
  • Usability
• Documentation
  • Introduction
  • Math Library User's Guide
  • Vector and Matrix Library User's Guide
  • Data Analysis Library User's Guide
  • Statistics Library User's Guide
  • Reference
• Resources
  • Downloads
  • QuickStart Samples
  • Sample Applications
  • Frequently Asked Questions
  • Technical Support
• Order
• Company
  • About us
  • Testimonials
  • Customers
  • Press Releases
  • Careers
  • Partners
  • Contact us

Extreme.Mathematics.LinearAlgebra Namespace

Extreme Optimization Numerical Libraries for .NET Professional

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

Classes

---

	Class	Description
	BandMatrixT	Represents a sparse matrix with nonzero elements only on a diagonal band containing the main diagonal.
	BlockVectorT	Represents a vector that is made up of smaller vectors.
	CholeskyDecompositionT	Represents the Cholesky decomposition of a positive-definite symmetric matrix.
	ComplexSingularValueDecompositionT	Represents the singular value decomposition of a matrix.
	ComponentReadOnlyException	Represents an exception that is thrown when an attempt is made to set a component of a VectorT or MatrixT whose value is fixed.
	ComposedComplexMatrixT	Represents a complex matrix that is composed from real matrices that represent the real and imaginary components.
	ComposedComplexVectorT	Represents a complex vector composed of a vector of real and of imaginary components.
	ConstantMatrixT	Represents a matrix whose components all have the same value..
	ConstantVectorT	Represents a vector whose elements are all the same.
	DecompositionT	Represents a matrix decomposition.
	DenseMatrixT	Represents a general, dense, square or rectangular matrix.
	DenseVectorT	Represents a vector with arbitrary components.
	DiagonalMatrixT	Represents a matrix whose only nonzero components lie on a diagonal.
	EigenvalueDecompositionT	Represents the eigenvalue decomposition of a dense matrix.
	GeneralizedDecompositionT	Represents a generalized matrix decomposition.
	GeneralizedEigenvalueDecompositionT	Represents the generalized eigenvalue decomposition of two matrices.
	GeneralizedSingularValueDecompositionT	Represents the generalized singular value decomposition of two matrices.
	HermitianMatrixT	Represents a matrix that is Hermitian about the main diagonal.
	IndexedVectorT	Represents a vector whose elements are arbitrary components of another vector.
	LeastSquaresSolverT	Represents the solution to a least squares problem.
	LinearAlgebraOperations	Specifies the methods that must be implemented by a class to support basic linear algebra.
	LinearOperatorT	Defines methods for the solution of a system of simultaneous linear equations and related operations.
	LQDecompositionT	Represents the LQ decomposition of a matrix.
	LUDecompositionT	Represents the LU decomposition of a matrix.
	MatrixNotPositiveDefiniteException	Represents an exception that is thrown when a computation cannot be completed because a matrix is not positive definite.
	MatrixSingularException	Represents an exception that is thrown when a computation cannot be completed because a matrix is singular.
	MatrixViewT	Represents a view on all or part of a matrix.
	NonHermitianEigenvalueDecompositionT	Represents the eigenvalue decomposition of a complex matrix.
	NonNegativeMatrixFactorizationT	Represents a non-negative decomposition of a general matrix.
	PermutationMatrix	Represents a permutation matrix.
	QLDecompositionT	Represents the QL decomposition of a matrix.
	QRDecompositionT	Represents the QR decomposition of a matrix.
	RealEigenvalueDecompositionT	Represents the eigenvalue decomposition of a non-symmetric, real matrix.
	RQDecompositionT	Represents the RQ decomposition of a matrix.
	SingularValueDecompositionT	Represents the singular value decomposition of a matrix.
	SparseCompressedColumnMatrixT	Represents a sparse matrix in Compressed Sparse Column format.
	SparseMatrixT	Represents a sparse matrix.
	SparseVectorT	Represents a vector with a vector with relatively few non-zero components.
	SymmetricIndefiniteDecompositionT	Represents the symmetric indefinite (Bunch-Kaufman) decomposition of a symmetric matrix.
	SymmetricMatrixT	Represents a matrix that is symmetrical about the main diagonal.
	TriangularMatrixT	Represents a matrix whose elements above or below the main diagonal are zero.

Structures

---

	Structure	Description
	ColumnCollectionT	Represents the collection of columns of a matrix.
	IndexValuePairT	Represents the value of a component at a specified position in a vector.
	PivotVector	Represents a vector containing permutation indexes.
	RowCollectionT	Represents the collection of rows of a matrix.
	RowColumnValueTripletT	Represents the value of a component at a specified position in a matrix.

Interfaces

---

	Interface	Description
	IResizableMatrixT	Represents the methods available for matrices that can be resized.

Enumerations

---

	Enumeration	Description
	CloningMethod	Enumerates the methods that can be used to clone a VectorT or MatrixT.
	EigenvalueRange	Enumerates the options for specifying the eigenvalues that should be computed.
	GeneralizedSingularValueDecompositionFactors	Enumerates the factors of a GeneralizedSingularValueDecompositionT.
	LeastSquaresSolutionMethod	Enumerates the possible methods for solving a least squares problem.
	SingularValueDecompositionFactors	Enumerates the factors of a SingularValueDecompositionT.

Copyright © 2004-2023, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.