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
  • ILinearAlgebraOperations(T, TVector, TMatrix) Interface
    • ILinearAlgebraOperations(T, TVector, TMatrix) Properties
    • Methods
  • Methods
    • AbsoluteMaxIndex Method
    • BandMultiplyAndAddInPlace Method
    • BandSymmetricMultiplyAndAddInPlace Method
    • BandTriangularMultiplyInPlace Method
    • BandTriangularSolveInPlace Method
    • ConjugateDotProduct Method
    • ConjugateRankUpdate Method
    • Copy Method Overloads
    • CreateGivensRotation Method
    • DotProduct Method
    • FullMatrixNorm Method
    • HermitianMatrixNorm Method
    • HermitianMultiplyAndAddInPlace Method Overloads
    • HermitianRankUpdate Method Overloads
    • MultiplyAndAddInPlace Method Overloads
    • MultiplyInPlace Method
    • OneNorm Method
    • RankUpdate Method
    • RealOneNorm Method
    • Rotate Method
    • Swap Method
    • SymmetricMatrixNorm Method
    • SymmetricMultiplyAndAddInPlace Method Overloads
    • SymmetricRankUpdate Method Overloads
    • TriangularMatrixNorm Method
    • TriangularMultiplyInPlace Method Overloads
    • TriangularSolveInPlace Method Overloads
    • TwoNorm Method
  • HermitianRankUpdate Method Overloads
    • HermitianRankUpdate Method (MatrixTriangle, Int32, T, TVector, TMatrix)
    • HermitianRankUpdate Method (MatrixTriangle, Int32, T, TVector, TVector, TMatrix)
    • HermitianRankUpdate Method (MatrixTriangle, TransposeOperation, Int32, Int32, T, TMatrix, T, TMatrix)
    • HermitianRankUpdate Method (MatrixTriangle, TransposeOperation, Int32, Int32, T, TMatrix, TMatrix, T, TMatrix)
  • HermitianRankUpdate Method (MatrixTriangle, TransposeOperation, Int32, Int32, T, TMatrix, T, TMatrix)
ILinearAlgebraOperationsT, TVector, TMatrixHermitianRankUpdate Method (MatrixTriangle, TransposeOperation, Int32, Int32, T, TMatrix, T, TMatrix)Extreme Optimization Numerical Libraries for .NET Professional
Performs a rank k update of a hermitian matrix.

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax

C#
VB
C++
F#
Copy
void HermitianRankUpdate(
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	TMatrix a,
	T beta,
	TMatrix c
)
Sub HermitianRankUpdate ( 
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As TMatrix,
	beta As T,
	c As TMatrix
)
void HermitianRankUpdate(
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	TMatrix a, 
	T beta, 
	TMatrix c
)
abstract HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : 'TMatrix * 
        beta : 'T * 
        c : 'TMatrix -> unit 

Parameters

storedTriangle
Type: Extreme.MathematicsMatrixTriangle
Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
trans
Type: Extreme.MathematicsTransposeOperation
Specifies the operation to be performed on the matrix a.
n
Type: SystemInt32
The number of rows and columns in the matrix c.
k
Type: SystemInt32
The number of columns in the matrix a transformed as specified by trans.
alpha
Type: T
The scalar used to multiply the matrix-matrix product.
a
Type: TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
beta
Type: T
The scalar used to multiply c.
c
Type: TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the third matrix.
Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

ILinearAlgebraOperationsT, TVector, TMatrix Interface
HermitianRankUpdate Overload
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.