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.Implementation
    • DecompositionOperations(T) Class
    • DecompositionOperations(TReal, TComplex) Class
    • GenericDecompositionOperations(T) Class
    • GenericLinearAlgebraOperations(T) Class
    • GenericSparseLinearAlgebraOperations(T) Class
    • IArrayFunctions(T, TShape, TArray) Interface
    • ILinearAlgebraOperations(T) Interface
    • ILinearAlgebraOperations(T, TVector, TMatrix) Interface
    • ISparseLinearAlgebraOperations(T) Interface
    • IVectorFunctions(T) Interface
    • LinearAlgebraOperations(T) Class
    • ManagedArrayFunctions Class
    • ManagedArrayFunctions(T) Class
    • ManagedArrayFunctionsOfSingle Class
    • ManagedLapack Class
    • ManagedLapackOfSingle Class
    • ManagedLinearAlgebraOperations Class
    • ManagedLinearAlgebraOperationsOfSingle Class
    • ManagedSparseLinearAlgebraOperations Class
    • ManagedSparseLinearAlgebraOperationsOfSingle Class
    • SparseLinearAlgebraOperations Class
    • SparseLinearAlgebraOperations(T) Class
    • SparseLinearAlgebraOperationsOfSingle Class
  • DecompositionOperations(TReal, TComplex) Class
    • DecompositionOperations(TReal, TComplex) Constructor
    • Properties
    • Methods
  • Methods
    • BandCholeskyDecompose Method Overloads
    • BandCholeskyEstimateCondition Method Overloads
    • BandCholeskySolve Method Overloads
    • BandLUDecompose Method Overloads
    • BandLUEstimateCondition Method Overloads
    • BandLUSolve Method Overloads
    • BandTriangularSolve Method
    • CholeskyDecompose Method Overloads
    • CholeskyEstimateCondition Method Overloads
    • CholeskyInvert Method Overloads
    • CholeskySolve Method Overloads
    • EigenvalueDecompose Method Overloads
    • GeneralizedEigenvalueDecompose Method Overloads
    • GeneralizedSingularValueDecompose Method Overloads
    • HermitianDecompose Method
    • HermitianEigenvalueDecompose Method
    • HermitianEstimateCondition Method
    • HermitianGeneralizedEigenvalueDecompose Method
    • HermitianInvert Method
    • HermitianSolve Method
    • LQDecompose Method Overloads
    • LQOrthogonalMultiply Method
    • LQUnitaryMultiply Method
    • LUDecompose Method Overloads
    • LUEstimateCondition Method Overloads
    • LUInvert Method Overloads
    • LUSolve Method Overloads
    • QLDecompose Method Overloads
    • QLOrthogonalMultiply Method
    • QLUnitaryMultiply Method
    • QRDecompose Method Overloads
    • QROrthogonalMultiply Method
    • QRUnitaryMultiply Method
    • RQDecompose Method Overloads
    • RQOrthogonalMultiply Method
    • RQUnitaryMultiply Method
    • SingularValueDecompose Method Overloads
    • SymmetricDecompose Method
    • SymmetricEigenvalueDecompose Method
    • SymmetricEstimateCondition Method
    • SymmetricGeneralizedEigenvalueDecompose Method
    • SymmetricInvert Method
    • SymmetricSolve Method
    • TriangularEstimateCondition Method Overloads
    • TriangularInvert Method Overloads
    • TriangularSolve Method Overloads
  • BandLUEstimateCondition Method Overloads
    • BandLUEstimateCondition Method (MatrixNorm, Int32, Int32, Int32, Array2D(TComplex), Array1D(Int32), TReal, TReal, Int32)
    • BandLUEstimateCondition Method (MatrixNorm, Int32, Int32, Int32, Array2D(TReal), Array1D(Int32), TReal, TReal, Int32)
DecompositionOperationsTReal, TComplexBandLUEstimateCondition Method Extreme Optimization Numerical Libraries for .NET Professional
Overload List
  NameDescription
Public methodBandLUEstimateCondition(MatrixNorm, Int32, Int32, Int32, Array2DTComplex, Array1DInt32, TReal, TReal, Int32)

Estimates the reciprocal of the condition number of a complex general band matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by ZGBTRF.

Public methodBandLUEstimateCondition(MatrixNorm, Int32, Int32, Int32, Array2DTReal, Array1DInt32, TReal, TReal, Int32)

Estimates the reciprocal of the condition number of a real general band matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by DGBTRF.

Top
See Also

Reference

DecompositionOperationsTReal, TComplex Class
Extreme.Mathematics.LinearAlgebra.Implementation 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.