Extreme Optimization™: Complexity made simple.

Numerical Components
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
    • 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
    • Contact us
Introduction
Deployment Guide
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 Statistics Library User's GuideStatistics Library User's Guide
Expand ReferenceReference
  • Home
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Reference
    • Extreme.Mathematics Namespace
    • Extreme.Mathematics.Algorithms Namespace
    • Extreme.Mathematics.Calculus Namespace
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations Namespace
    • Extreme.Mathematics.Curves Namespace
    • Extreme.Mathematics.Curves.Nonlinear Namespace
    • Extreme.Mathematics.EquationSolvers Namespace
    • Extreme.Mathematics.Generic Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers Namespace
    • Extreme.Mathematics.LinearAlgebra Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions Namespace
    • Extreme.Mathematics.LinearAlgebra.IO Namespace
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers Namespace
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners Namespace
    • Extreme.Mathematics.LinearAlgebra.Providers Namespace
    • Extreme.Mathematics.LinearAlgebra.Sparse Namespace
    • Extreme.Mathematics.Optimization Namespace
    • Extreme.Mathematics.Optimization.LineSearches Namespace
    • Extreme.Mathematics.SignalProcessing Namespace
    • Extreme.Statistics Namespace
    • Extreme.Statistics.Distributions Namespace
    • Extreme.Statistics.IO Namespace
    • Extreme.Statistics.Multivariate Namespace
    • Extreme.Statistics.Random Namespace
    • Extreme.Statistics.Tests Namespace
    • Extreme.Statistics.TimeSeriesAnalysis Namespace
  • Extreme.Mathematics Namespace
    • AccuracyGoal Structure
    • AlgorithmStatus Enumeration
    • ArrayMath Class
    • BigFloat Class
    • BigInteger Structure
    • BigRational Structure
    • ComplexMatrix Class
    • ComplexVector Class
    • Constants Class
    • ConvergenceCriterion Enumeration
    • DecimalMath Class
    • DimensionMismatchException Class
    • DimensionType Enumeration
    • DoubleComparer Class
    • DoubleComplex Structure
    • Elementary Class
    • EquationSolving Class
    • FunctionMath Class
    • IntegerMath Class
    • Intent Enumeration
    • Interval Structure
    • Interval(T) Structure
    • IPermutable Interface
    • MachineConstants Class
    • Matrix Class
    • MatrixDiagonal Enumeration
    • MatrixElementOrder Enumeration
    • MatrixNorm Enumeration
    • MatrixOperationSide Enumeration
    • MatrixTriangle Enumeration
    • NumericalDifferentiation Class
    • NumericalIntegration Class
    • Permutation Class
    • RoundingMode Enumeration
    • SingleComparer Class
    • SingleComplex Structure
    • SingleComplexMatrix Class
    • SingleComplexVector Class
    • SingleInterval Structure
    • SingleMatrix Class
    • SingleMatrixFiller Delegate
    • SingleVector Class
    • SingleVectorFiller Delegate
    • SolutionReport(T) Class
    • Special Class
    • SymbolicMath Class
    • TotalLossOfPrecisionException Class
    • TransposeOperation Enumeration
    • Vector Class
  • Matrix Class
    • Members
    • Constructors
    • Methods
    • Operators
    • Properties
  • Methods
    • Abs Method
    • AbsoluteMax Method
    • AbsoluteMin Method
    • Acos Method
    • Add Overloads
    • AddProductToVector Method
    • Apply Overloads
    • ApplyToColumns Overloads
    • ApplyToRows Overloads
    • AsDenseMatrix Method
    • AsGeneralMatrix Method
    • Asin Method
    • Atan Method
    • Atan2 Method
    • Ceiling Method
    • Clip Method
    • Clone Overloads
    • CloneData Method
    • CloneShape Method
    • ComponentwiseDivide Overloads
    • ComponentwiseMultiply Overloads
    • ConditionNumber Method
    • CopyTo Method
    • Cos Method
    • Cosh Method
    • Create Overloads
    • CreateBanded Overloads
    • CreateConstant Method
    • CreateDiagonal Overloads
    • CreateLowerBanded Method
    • CreateLowerTriangular Overloads
    • CreateSparse Overloads
    • CreateSparseSymmetric Overloads
    • CreateSymmetric Overloads
    • CreateSymmetricBanded Method
    • CreateUpperBanded Method
    • CreateUpperTriangular Overloads
    • Determinant Method
    • Divide Method
    • Equals Overloads
    • EstimateConditionNumber Overloads
    • Exp Method
    • Floor Method
    • FrobeniusNorm Method
    • GetCholeskyDecomposition Overloads
    • GetColumn Overloads
    • GetColumnEnumerator Method
    • GetColumnSums Method
    • GetComponents Overloads
    • GetConditionNumber Method
    • GetDeterminant Method
    • GetDiagonal Overloads
    • GetEigenvalueDecomposition Overloads
    • GetExponential Method
    • GetHashCode Overloads
    • GetInverse Overloads
    • GetLUDecomposition Overloads
    • GetObjectData Method
    • GetParallelColumnEnumerator Method
    • GetParallelRowEnumerator Method
    • GetPseudoInverse Method
    • GetQRDecomposition Overloads
    • GetRow Overloads
    • GetRowEnumerator Method
    • GetRowSums Method
    • GetSingularValueDecomposition Overloads
    • GetSingularValues Method
    • GetSubmatrix Overloads
    • GetValue Method
    • Hypot Method
    • InfinityNorm Method
    • Inverse Method
    • IsComponentWritable Method
    • IsSingular Method
    • Log Overloads
    • Log10 Method
    • MatrixExponential Method
    • MatrixPower Method
    • Max Overloads
    • Min Overloads
    • Multiply Overloads
    • MultiplyTranspose Overloads
    • NormInternal Method
    • OneNorm Method
    • PermuteColumns Method
    • PermuteRows Method
    • PermuteRowsAndColumns Overloads
    • Pow Overloads
    • PseudoInverse Method
    • Rank Overloads
    • Reciprocal Method
    • Round Method
    • ScaleColumns Method
    • ScaleRows Method
    • SetToZero Method
    • SetValue Overloads
    • ShallowCopy Method
    • Sin Method
    • Sinh Method
    • Solve Overloads
    • SolveTranspose Overloads
    • SortColumns Overloads
    • SortRows Overloads
    • Sqrt Method
    • Subtract Method
    • SwapColumns Method
    • SwapRows Method
    • Tan Method
    • Tanh Method
    • ToArray Overloads
    • ToDenseMatrix Method
    • ToGeneralMatrix Method
    • ToString Overloads
    • Trace Method
    • Transpose Method
    • TwoNorm Method
    • UnscaleColumns Method
    • UnscaleRows Method
  • FrobeniusNorm Method
Collapse image Expand Image Copy image CopyHover image
         




Matrix..::..FrobeniusNorm Method

Matrix Class See Also 
Returns the Frobenius norm of this matrix.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C# 
                      public double FrobeniusNorm()
Visual Basic (Declaration) 
                      Public Function FrobeniusNorm As Double
Visual C++ 
                      public:
double FrobeniusNorm()
F# 
                      member FrobeniusNorm : unit -> float

Return Value

The Frobenius norm of this Matrix.

Remarks

The Frobenius norm of a matrix is defined as the square root of the sum of the squares of all of its elements.

See Also

Matrix Class
Extreme.Mathematics Namespace

Send comments on this topic to support@extremeoptimization.com

Copyright (c) 2004-2011 ExoAnalytics Inc.

Copyright © 2003-2013, 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.