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.Complex
    • ComplexBandVector Class
    • ComplexCholeskyDecomposition Class
    • ComplexColumnCollection Structure
    • ComplexConstantMatrix Class
    • ComplexConstantVector Class
    • ComplexDecomposition Class
    • ComplexDenseMatrix Class
    • ComplexDenseVector Class
    • ComplexDiagonalMatrix Class
    • ComplexHermitianMatrix Class
    • ComplexLeastSquaresSolver Class
    • ComplexLinearOperator Class
    • ComplexLUDecomposition Class
    • ComplexMatrixView Class
    • ComplexQRDecomposition Class
    • ComplexRowCollection Structure
    • ComplexSingularValueDecomposition Class
    • ComplexTriangularMatrix Class
    • ComplexVectorView Class
    • ComposedComplexMatrix Class
    • ComposedComplexVector Class
    • IComplexLeastSquaresSolver Interface
    • IComplexStorage Interface
    • ISingleComplexLeastSquaresSolver Interface
    • ISingleComplexStorage Interface
    • SingleComplexBandVector Class
    • SingleComplexCholeskyDecomposition Class
    • SingleComplexColumnCollection Structure
    • SingleComplexConstantVector Class
    • SingleComplexDecomposition Class
    • SingleComplexDenseMatrix Class
    • SingleComplexDenseVector Class
    • SingleComplexHermitianMatrix Class
    • SingleComplexLeastSquaresSolver Class
    • SingleComplexLinearTransformation Class
    • SingleComplexLUDecomposition Class
    • SingleComplexMatrixView Class
    • SingleComplexQRDecomposition Class
    • SingleComplexRowCollection Structure
    • SingleComplexSingularValueDecomposition Class
    • SingleComplexTriangularMatrix Class
    • SingleComplexVectorView Class
  • SingleComplexTriangularMatrix Class
    • SingleComplexTriangularMatrix Constructors
    • Properties
    • Methods
    • Type Conversions
  • Methods
    • AddProductToVector Method
    • CloneData Method Overloads
    • EstimateConditionNumber Method
    • ExtractLowerTriangle Method Overloads
    • ExtractUpperTriangle Method Overloads
    • GetColumn Method Overloads
    • GetDeterminant Method
    • GetDiagonal Method Overloads
    • GetImaginaryPart Method
    • GetInverse Method
    • GetRealPart Method
    • GetRow Method Overloads
    • GetValue Method
    • IsComponentWritable Method
    • IsSingular Method
    • Multiply Method Overloads
    • SetValue Method Overloads
    • Solve Method Overloads
    • ToDoublePrecision Method
    • Transpose Method
  • ExtractLowerTriangle Method Overloads
    • ExtractLowerTriangle Method (SingleComplexDenseMatrix)
    • ExtractLowerTriangle Method (SingleComplexHermitianMatrix)
    • ExtractLowerTriangle Method (SingleComplexDenseMatrix, MatrixDiagonal)
    • ExtractLowerTriangle Method (SingleComplexHermitianMatrix, MatrixDiagonal)
    • ExtractLowerTriangle Method (SingleComplexDenseMatrix, Int32, Int32, MatrixDiagonal)
  • ExtractLowerTriangle Method (SingleComplexHermitianMatrix)
SingleComplexTriangularMatrixExtractLowerTriangle Method (SingleComplexHermitianMatrix)Extreme Optimization Numerical Libraries for .NET Professional
Constructs a SingleComplexTriangularMatrix whose elements are contained in the lower triangular portion of a SingleComplexHermitianMatrix.

Namespace: Extreme.Mathematics.LinearAlgebra.Complex
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 static SingleComplexTriangularMatrix ExtractLowerTriangle(
	SingleComplexHermitianMatrix matrix
)
Public Shared Function ExtractLowerTriangle ( 
	matrix As SingleComplexHermitianMatrix
) As SingleComplexTriangularMatrix
public:
static SingleComplexTriangularMatrix^ ExtractLowerTriangle(
	SingleComplexHermitianMatrix^ matrix
)
static member ExtractLowerTriangle : 
        matrix : SingleComplexHermitianMatrix -> SingleComplexTriangularMatrix 

Parameters

matrix
Type: Extreme.Mathematics.LinearAlgebra.ComplexSingleComplexHermitianMatrix
A SingleComplexHermitianMatrix.

Return Value

Type: SingleComplexTriangularMatrix
A SingleComplexTriangularMatrix whose elements are contained in the lower triangular portion of matrix.
Exceptions

ExceptionCondition
ArgumentNullExceptionmatrix is .
InvalidOperationException The elements of matrix are not stored in its lower triangular part.
Remarks

The elements of matrix must be stored in its lower triangular part.
Version Information

Numerical Libraries

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

Reference

SingleComplexTriangularMatrix Class
ExtractLowerTriangle Overload
Extreme.Mathematics.LinearAlgebra.Complex 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.