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) Interface
    • ILinearAlgebraOperations(T) 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
  • SymmetricMatrixNorm Method
ILinearAlgebraOperationsTSymmetricMatrixNorm Method Extreme Optimization Numerical Libraries for .NET Professional
Computes the norm of a symmetric 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
T SymmetricMatrixNorm(
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	int n,
	Array2D<T> a
)
Function SymmetricMatrixNorm ( 
	norm As MatrixNorm,
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As Array2D(Of T)
) As T
T SymmetricMatrixNorm(
	MatrixNorm norm, 
	MatrixTriangle storedTriangle, 
	int n, 
	Array2D<T> a
)
abstract SymmetricMatrixNorm : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : Array2D<'T> -> 'T 

Parameters

norm
Type: Extreme.MathematicsMatrixNorm
A MatrixNorm that specifies the type of norm to compute.
storedTriangle
Type: Extreme.MathematicsMatrixTriangle
A MatrixTriangle value that specifies whether the matrix elements are stored in the upper or lower triangle.
n
Type: SystemInt32
The number of rows and columns of the matrix.
a
Type: Extreme.CollectionsArray2DT
A T array that contains the elements of the matrix.

Return Value

Type: T
The norm of the matrix.
Remarks

This method corresponds to the LAPACK routine ?LANSY.
Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

ILinearAlgebraOperationsT Interface
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.