Extreme Optimization™: Complexity made simple.

Numerical Components
for .NET
  • 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
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Contact us
Introduction
Deployment Guide
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand ReferenceReference
  • Home
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Reference
    • Extreme.Mathematics Namespace
    • Extreme.Mathematics.Algorithms Namespace
    • Extreme.Mathematics.Calculus Namespace
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations Namespace
    • Extreme.Mathematics.Curves Namespace
    • Extreme.Mathematics.Curves.Nonlinear Namespace
    • Extreme.Mathematics.EquationSolvers Namespace
    • Extreme.Mathematics.Generic Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers Namespace
    • Extreme.Mathematics.LinearAlgebra Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions Namespace
    • Extreme.Mathematics.LinearAlgebra.IO Namespace
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers Namespace
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners Namespace
    • Extreme.Mathematics.LinearAlgebra.Providers Namespace
    • Extreme.Mathematics.LinearAlgebra.Sparse Namespace
    • Extreme.Mathematics.Optimization Namespace
    • Extreme.Mathematics.Optimization.LineSearches Namespace
    • Extreme.Mathematics.SignalProcessing Namespace
    • Extreme.Statistics Namespace
    • Extreme.Statistics.Distributions Namespace
    • Extreme.Statistics.IO Namespace
    • Extreme.Statistics.Multivariate Namespace
    • Extreme.Statistics.Random Namespace
    • Extreme.Statistics.Tests Namespace
    • Extreme.Statistics.TimeSeriesAnalysis Namespace
  • Extreme.Mathematics.LinearAlgebra Namespace
    • BandMatrix Class
    • BandVector Class
    • CholeskyDecomposition Class
    • CloningMethod Enumeration
    • ColumnCollection Structure
    • ComponentReadOnlyException Class
    • ConstantMatrix Class
    • ConstantVector Class
    • Decomposition Class
    • DenseMatrix Class
    • DenseVector Class
    • DiagonalMatrix Class
    • EigenvalueDecomposition Class
    • IDoubleStorage Interface
    • ILeastSquaresSolver Interface
    • IndexedVector Class
    • IndexValuePair Structure
    • IResizableMatrix Interface
    • ISingleLeastSquaresSolver Interface
    • ISingleResizableMatrix Interface
    • ISingleStorage Interface
    • Kernel Class
    • LeastSquaresSolutionMethod Enumeration
    • LeastSquaresSolver Class
    • LinearOperator Class
    • LUDecomposition Class
    • MatrixNotPositiveDefiniteException Class
    • MatrixSingularException Class
    • MatrixStructure Enumeration
    • MatrixView Class
    • NonNegativeMatrixFactorization Class
    • NonsymmetricEigenvalueDecomposition Class
    • PermutationMatrix Class
    • PivotVector Structure
    • QRDecomposition Class
    • Range Structure
    • RowCollection Structure
    • RowColumnValueTriplet Structure
    • SingleBandCholeskyDecomposition Class
    • SingleBandLUDecomposition Class
    • SingleBandMatrix Class
    • SingleBandVector Class
    • SingleBandVector.BandVectorEnumerator Structure
    • SingleCholeskyDecomposition Class
    • SingleColumnCollection Structure
    • SingleConstantMatrix Class
    • SingleConstantVector Class
    • SingleDecomposition Class
    • SingleDenseMatrix Class
    • SingleDenseVector Class
    • SingleDiagonalMatrix Class
    • SingleEigenvalueDecomposition Class
    • SingleIndexedVector Class
    • SingleIndexValuePair Structure
    • SingleKernel Class
    • SingleLeastSquaresSolver Class
    • SingleLinearTransformation Class
    • SingleLUDecomposition Class
    • SingleMatrixView Class
    • SinglePermutationMatrix Class
    • SingleQRDecomposition Class
    • SingleRowCollection Structure
    • SingleRowColumnValueTriplet Structure
    • SingleSingularValueDecomposition Class
    • SingleSparseLUDecomposition Class
    • SingleSparseMatrix Class
    • SingleSparseVector Class
    • SingleSymmetricEigenvalueDecomposition Class
    • SingleSymmetricMatrix Class
    • SingleTriangularMatrix Class
    • SingularValueDecomposition Class
    • SingularValueDecompositionFactors Enumeration
    • SparseCompressedColumnMatrix Class
    • SparseMatrix Class
    • SparseVector Class
    • SymmetricEigenvalueDecomposition Class
    • SymmetricMatrix Class
    • TriangularMatrix Class
  • LeastSquaresSolutionMethod Enumeration
Collapse image Expand Image Copy image CopyHover image
         




LeastSquaresSolutionMethod Enumeration

See Also 
Enumerates the possible methods for solving a least squares problem.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C# 
                      public enum LeastSquaresSolutionMethod
Visual Basic (Declaration) 
                      Public Enumeration LeastSquaresSolutionMethod
Visual C++ 
                      public enum class LeastSquaresSolutionMethod
F# 
                      type LeastSquaresSolutionMethod

Members

Member name Value Description
QRDecomposition 0 Use a QR decomposition of the input matrix. This is the default.
NormalEquations 1 Use the normal equations computed from the input.
SingularValueDecomposition 2 Use a singular value decomposition of the input matrix. This is the most stable method, but also the slowest.
NonNegative 3 Ensure that the solution is made up of elements that are non-negative (i.e. positive or zero).

See Also

Extreme.Mathematics.LinearAlgebra Namespace

Send comments on this topic to support@extremeoptimization.com

Copyright (c) 2004-2011 ExoAnalytics Inc.

Copyright © 2003-2013, 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.