Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries 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
    • Data Analysis 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
    • Partners
    • Contact us
Introduction
Deployment Guide
Configuration
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 Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.Distributed.Cuda
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.FSharp
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.Generic.LinearAlgebra
    • Extreme.Mathematics.Generic.LinearAlgebra.Implementation
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers
    • Extreme.Mathematics.Generic.SignalProcessing
    • Extreme.Mathematics.Implementation
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Complex
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IO
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.LinearAlgebra.Providers
    • Extreme.Mathematics.LinearAlgebra.Sparse
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.Genetic
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Numerics.FSharp
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.IO
    • Extreme.Statistics.Linq
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Random
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics.LinearAlgebra
    • BandMatrix Class
    • BandMatrix(T) Class
    • BandVector Class
    • BlockVector(T) Class
    • CholeskyDecomposition Class
    • CholeskyDecomposition(T) Class
    • CloningMethod Enumeration
    • ColumnCollection Structure
    • ColumnCollection(T) Structure
    • ComplexEigenvalueDecomposition Class
    • ComplexSingularValueDecomposition(T) Class
    • ComponentReadOnlyException Class
    • ComposedComplexMatrix(T) Class
    • ComposedComplexVector(T) Class
    • ConstantMatrix Class
    • ConstantMatrix(T) Class
    • ConstantVector Class
    • ConstantVector(T) Class
    • Decomposition Class
    • Decomposition(T) Class
    • DenseMatrix Class
    • DenseMatrix(T) Class
    • DenseVector Class
    • DenseVector(T) Class
    • DiagonalMatrix Class
    • DiagonalMatrix(T) Class
    • EigenvalueDecomposition Class
    • EigenvalueDecomposition(T) Class
    • EigenvalueRange Enumeration
    • GeneralizedDecomposition(T) Class
    • GeneralizedEigenvalueDecomposition(T) Class
    • GeneralizedSingularValueDecomposition(T) Class
    • GeneralizedSingularValueDecompositionFactors Enumeration
    • HermitianEigenvalueDecomposition Class
    • HermitianMatrix(T) Class
    • IDoubleStorage Interface
    • ILeastSquaresSolver Interface
    • IndexedVector Class
    • IndexedVector(T) Class
    • IndexValuePair Structure
    • IndexValuePair(T) Structure
    • IResizableMatrix Interface
    • IResizableMatrix(T) Interface
    • ISingleLeastSquaresSolver Interface
    • ISingleResizableMatrix Interface
    • ISingleStorage Interface
    • Kernel Class
    • LeastSquaresSolutionMethod Enumeration
    • LeastSquaresSolver Class
    • LeastSquaresSolver(T) Class
    • LinearAlgebraOperations Class
    • LinearOperator Class
    • LinearOperator(T) Class
    • LQDecomposition(T) Class
    • LUDecomposition Class
    • LUDecomposition(T) Class
    • MatrixNotPositiveDefiniteException Class
    • MatrixSingularException Class
    • MatrixStructure Enumeration
    • MatrixView Class
    • MatrixView(T) Class
    • NonHermitianEigenvalueDecomposition Class
    • NonHermitianEigenvalueDecomposition(T) Class
    • NonNegativeMatrixFactorization Class
    • NonNegativeMatrixFactorization(T) Class
    • NonsymmetricEigenvalueDecomposition Class
    • PermutationMatrix Class
    • PivotVector Structure
    • QLDecomposition(T) Class
    • QRDecomposition Class
    • QRDecomposition(T) Class
    • Range Structure
    • RowCollection Structure
    • RowCollection(T) Structure
    • RowColumnValueTriplet Structure
    • RowColumnValueTriplet(T) Structure
    • RQDecomposition(T) Class
    • 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
    • SingularValueDecomposition(T) Class
    • SingularValueDecompositionFactors Enumeration
    • SparseCompressedColumnMatrix Class
    • SparseCompressedColumnMatrix(T) Class
    • SparseMatrix Class
    • SparseMatrix(T) Class
    • SparseVector Class
    • SparseVector(T) Class
    • SymmetricEigenvalueDecomposition Class
    • SymmetricIndefiniteDecomposition Class
    • SymmetricIndefiniteDecomposition(T) Class
    • SymmetricMatrix Class
    • SymmetricMatrix(T) Class
    • TriangularMatrix Class
    • TriangularMatrix(T) Class
  • SingleLeastSquaresSolver Class
    • SingleLeastSquaresSolver Constructor
    • Properties
    • Methods
SingleLeastSquaresSolver ClassExtreme Optimization Numerical Libraries for .NET Professional
Represents the solution to a least squares problem.
Inheritance Hierarchy

SystemObject
  Extreme.Mathematics.LinearAlgebraSingleLeastSquaresSolver

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Version4x.Net40 (in Extreme.Numerics.Version4x.Net40.dll) Version: 4.2.11333.0 (5.0.12317.0)
Syntax

C#
VB
C++
F#
Copy
public sealed class SingleLeastSquaresSolver
Public NotInheritable Class SingleLeastSquaresSolver
public ref class SingleLeastSquaresSolver sealed
[<SealedAttribute>]
type SingleLeastSquaresSolver =  class end

The SingleLeastSquaresSolver type exposes the following members.

Constructors

  NameDescription
Public methodSingleLeastSquaresSolver
Constructs a new LeastSquaresSolver from the matrix of observations and the vector of outcomes.
Top
Properties

  NameDescription
Public propertySolution
Gets the solution to the least squares problem.
Public propertySolutionMethod
Gets or sets the LeastSquaresSolutionMethod used to calculate this LeastSquaresSolver.
Top
Methods

  NameDescription
Public methodEquals
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
Public methodGetHashCode
Serves as a hash function for a particular type.
(Inherited from Object.)
Public methodGetPredictions
Returns a vector containing the predicted outcomes of the least squares solution.
Public methodGetResiduals
Returns a vector containing the residuals of the least squares solution.
Public methodGetResidualSumOfSquares
Returns the sum of the squares of the residuals of the least squares solution.
Public methodGetResidues Obsolete.
Returns a vector containing the residuals of the least squares solution.
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodSolve
Solves the least squares problem and returns the least norm solution.
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
Top
Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

Extreme.Mathematics.LinearAlgebra Namespace

Copyright (c) 2004-2016 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-2018, 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.