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
  • LinearAlgebraOperations Class
    • Methods
  • Methods
    • AbsoluteMaxIndex(T) Method
    • ApplyModifiedGivensRotation(T) Method
    • BandMultiplyAndAddInPlace(T) Method
    • BandSymmetricMultiplyAndAddInPlace(T) Method
    • BandTriangularMultiplyInPlace(T) Method
    • BandTriangularSolveInPlace(T) Method
    • ConjugateDotProduct(T) Method
    • ConjugateRankUpdate(T) Method
    • Copy Method Overloads
    • CreateGivensRotation(T) Method
    • CreateModifiedGivensRotation(T) Method
    • DotProduct(T) Method
    • FullMatrixNorm Method Overloads
    • HermitianMatrixNorm(T) Method
    • HermitianMultiplyAndAddInPlace Method Overloads
    • HermitianRankUpdate Method Overloads
    • MultiplyAndAddInPlace Method Overloads
    • MultiplyInPlace Method Overloads
    • OneNorm(T) Method
    • RankUpdate(T) Method
    • RealOneNorm(T) Method
    • Rotate Method Overloads
    • Swap(T) Method
    • SymmetricMatrixNorm Method Overloads
    • SymmetricMultiplyAndAddInPlace Method Overloads
    • SymmetricRankUpdate Method Overloads
    • TriangularMatrixNorm Method Overloads
    • TriangularMultiplyInPlace Method Overloads
    • TriangularSolveInPlace Method Overloads
    • TwoNorm Method Overloads
  • TriangularMultiplyInPlace Method Overloads
    • TriangularMultiplyInPlace(T) Method (MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D(T), ArraySlice(T))
    • TriangularMultiplyInPlace(T) Method (MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, Array2D(T), Array2D(T))
  • TriangularMultiplyInPlace(T) Method (MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D(T), ArraySlice(T))
LinearAlgebraOperationsTriangularMultiplyInPlaceT Method (MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2DT, ArraySliceT)Extreme Optimization Numerical Libraries for .NET Professional
Product of a triangular matrix and a vector.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.17114.0)
Syntax

C#
VB
C++
F#
Copy
public static void TriangularMultiplyInPlace<T>(
	MatrixTriangle storedTriangle,
	TransposeOperation transposeOperation,
	MatrixDiagonal diagonal,
	int n,
	Array2D<T> a,
	ArraySlice<T> x
)
Public Shared Sub TriangularMultiplyInPlace(Of T) ( 
	storedTriangle As MatrixTriangle,
	transposeOperation As TransposeOperation,
	diagonal As MatrixDiagonal,
	n As Integer,
	a As Array2D(Of T),
	x As ArraySlice(Of T)
)
public:
generic<typename T>
static void TriangularMultiplyInPlace(
	MatrixTriangle storedTriangle, 
	TransposeOperation transposeOperation, 
	MatrixDiagonal diagonal, 
	int n, 
	Array2D<T> a, 
	ArraySlice<T> x
)
static member TriangularMultiplyInPlace : 
        storedTriangle : MatrixTriangle * 
        transposeOperation : TransposeOperation * 
        diagonal : MatrixDiagonal * 
        n : int * 
        a : Array2D<'T> * 
        x : ArraySlice<'T> -> unit 

Parameters

storedTriangle
Type: Extreme.MathematicsMatrixTriangle
Specifies whether the matrix is an upper or lower triangular matrix.
transposeOperation
Type: Extreme.MathematicsTransposeOperation
Specifies the operation to be performed on the matrix a.
diagonal
Type: Extreme.MathematicsMatrixDiagonal
Specifies whether or not a is unit triangular.
n
Type: SystemInt32
The number of rows and columns in the matrix a.
a
Type: Extreme.CollectionsArray2DT
Reference to the first element in a one-dimensional array that contains the elements of the matrix.
x
Type: Extreme.CollectionsArraySliceT
A reference to a one-dimensional array containing the elements of the vector x. The elements of x are overwritten with the result.

Type Parameters

T
Remarks

This method is similar to the BLAS routine DTRMV.

Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

LinearAlgebraOperations Class
TriangularMultiplyInPlace Overload
Extreme.Mathematics.LinearAlgebra Namespace

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.