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
    • AccuracyGoal Structure
    • AlgorithmStatus Enumeration
    • ArrayAttributes Structure
    • ArrayMath Class
    • ArrayMutability Enumeration
    • BigFloat Class
    • BigInteger Structure
    • BigRational Structure
    • CategoricalVector(T) Class
    • Complex(T) Structure
    • ComplexMatrix Class
    • ComplexVector Class
    • Constants Class
    • ConvergenceCriterion Enumeration
    • CoreImplementations Class
    • CoreImplementations(T) Class
    • CoreProvider Class
    • CoreProvider(T) Class
    • DecimalMath Class
    • Dimension Enumeration
    • DimensionMismatchException Class
    • DimensionType Enumeration
    • DistributedDataLocation Enumeration
    • DoubleComparer Class
    • DoubleComplex Structure
    • Elementary Class
    • ElementType(T) Class
    • EquationSolving Class
    • FunctionMath Class
    • GenericCoreProvider(T) Class
    • GenericImplementations Class
    • ICategoricalVector Interface
    • IDistributed Interface
    • InsufficientDataException Class
    • IntegerMath Class
    • Intent Enumeration
    • Interval Structure
    • Interval(T) Structure
    • IPermutable Interface
    • ISummarizable Interface
    • Iterators Class
    • IVector Interface
    • MachineConstants Class
    • ManagedCoreProvider Class
    • ManagedCoreProviderOfSingle Class
    • Math(T) Class
    • Matrix Class
    • Matrix(T) Class
    • MatrixDiagonal Enumeration
    • MatrixElementOrder Enumeration
    • MatrixExtensions Class
    • MatrixNorm Enumeration
    • MatrixOperationSide Enumeration
    • MatrixStructure Enumeration
    • MatrixTriangle Enumeration
    • MutabilityBehaviour Enumeration
    • NumericalDifferentiation Class
    • NumericalIntegration Class
    • NumericsConfiguration Class
    • Operations(T) Class
    • Permutation Class
    • Quad Structure
    • RandomExtensions Class
    • Range Structure
    • RoundingMode Enumeration
    • SingleComparer Class
    • SingleComplex Structure
    • SingleComplexMatrix Class
    • SingleComplexVector Class
    • SingleConstants Class
    • SingleInterval Structure
    • SingleMatrix Class
    • SingleMatrixFiller Delegate
    • SinglePrecisionImplementations Class
    • SingleVector Class
    • SingleVectorFiller Delegate
    • Slice Structure
    • SolutionReport(T) Class
    • SolutionReport(T, TError) Class
    • Special Class
    • SummaryOptions Class
    • SymbolicMath Class
    • TotalLossOfPrecisionException Class
    • TransposeOperation Enumeration
    • TypedVectorWrapper(K, T) Structure
    • Vector Class
    • Vector(T) Class
    • VectorExtensions Class
  • SingleMatrix Class
    • SingleMatrix Constructors
    • Properties
    • Methods
    • Operators and Type Conversions
  • Methods
    • AbsoluteMax Method
    • AbsoluteMin Method
    • Add Method Overloads
    • AddProductToVector Method
    • Apply Method Overloads
    • ApplyToColumns Method
    • ApplyToRows Method
    • AsDenseMatrix Method
    • AsGeneralMatrix Method
    • Clone Method
    • CloneData Method
    • ComponentwiseDivide Method Overloads
    • ComponentwiseMultiply Method Overloads
    • CopyTo Method
    • Create Method Overloads
    • CreateBanded Method
    • CreateConstant Method
    • CreateDiagonal Method Overloads
    • CreateLowerBanded Method
    • CreateLowerTriangular Method Overloads
    • CreateSparse Method Overloads
    • CreateSymmetric Method Overloads
    • CreateSymmetricBanded Method
    • CreateUpperBanded Method
    • CreateUpperTriangular Method Overloads
    • Divide Method
    • Equals Method Overloads
    • EstimateConditionNumber Method
    • FrobeniusNorm Method
    • GetColumn Method Overloads
    • GetColumnEnumerator Method
    • GetColumnSums Method
    • GetComponents Method Overloads
    • GetConditionNumber Method
    • GetDeterminant Method
    • GetDiagonal Method Overloads
    • GetExponential Method
    • GetHashCode Method
    • GetInverse Method
    • GetObjectData Method
    • GetPseudoInverse Method
    • GetRow Method Overloads
    • GetRowEnumerator Method
    • GetRowSums Method
    • GetSingularValues Method
    • GetSubmatrix Method Overloads
    • GetValue Method
    • InfinityNorm Method
    • IsComponentWritable Method
    • IsSingular Method
    • Max Method
    • Min Method
    • Multiply Method Overloads
    • NormInternal Method
    • OneNorm Method
    • PermuteColumns Method
    • PermuteRows Method
    • PermuteRowsAndColumns Method Overloads
    • Rank Method Overloads
    • ScaleColumns Method
    • ScaleRows Method
    • SetToZero Method
    • SetValue Method Overloads
    • ShallowCopy Method
    • Solve Method Overloads
    • SolveTranspose Method Overloads
    • Subtract Method
    • SwapColumns Method
    • SwapRows Method
    • ToArray Method Overloads
    • ToDenseMatrix Method
    • ToDoublePrecision Method
    • ToGeneralMatrix Method
    • ToString Method Overloads
    • Trace Method
    • Transpose Method
    • TwoNorm Method
    • UnscaleColumns Method
    • UnscaleRows Method
    • ValidateAddProductToVector Method
  • EstimateConditionNumber Method
SingleMatrixEstimateConditionNumber Method Extreme Optimization Numerical Libraries for .NET Professional
Calculates an estimate for the condition number of this SingleMatrix.

Namespace: Extreme.Mathematics
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 override float EstimateConditionNumber()
Public Overrides Function EstimateConditionNumber As Single
public:
virtual float EstimateConditionNumber() override
abstract EstimateConditionNumber : unit -> float32 
override EstimateConditionNumber : unit -> float32 

Return Value

Type: Single
An estimate for the condition number of the SingleMatrix.
Remarks

The condition number of a matrix is defined as the ratio of its largest to its smallest singular value. Because the calculation of singular values is a very expensive operation, an estimate that is cheaper to calculate is usually preferred. Use the GetConditionNumber method to get the exact condition number.

The condition number gives an indication of the worst case loss of precision when solving a system of simultaneous linear equations.

The condition number of a singular matrix is infinite, which is returned as PositiveInfinity.

Version Information

Numerical Libraries

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

Reference

SingleMatrix Class
Extreme.Mathematics Namespace
Extreme.Mathematics.LinearAlgebraSingleLinearTransformation
SingleMatrixGetConditionNumber

Copyright (c) 2004-2017 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.