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.Generic.LinearAlgebra
    • BandMatrix(T) Class
    • BandVector(T) Class
    • BandVector(T).BandVectorEnumerator Structure
    • CholeskyDecomposition(T) Class
    • ColumnCollection(T) Structure
    • ComplexSingularValueDecomposition(T) Class
    • ComposedComplexMatrix(T) Class
    • ComposedComplexVector(T) Class
    • ConstantMatrix(T) Class
    • ConstantVector(T) Class
    • Decomposition(T) Class
    • DenseMatrix(T) Class
    • DenseVector(T) Class
    • DiagonalMatrix(T) Class
    • EigenvalueDecomposition(T) Class
    • GenericKernel(T) Class
    • GenericKernel(T).Specialization Class
    • HermitianMatrix(T) Class
    • ILinearStorage(T) Interface
    • IndefiniteDecomposition(T) Class
    • IndexedVector(T) Class
    • IndexValuePair(T) Structure
    • IResizableMatrix(T) Interface
    • LinearOperator(T) Class
    • LUDecomposition(T) Class
    • MatrixView(T) Class
    • NonHermitianEigenvalueDecomposition(T) Class
    • NonsymmetricEigenvalueDecomposition(T) Class
    • QRDecomposition(T) Class
    • RowCollection(T) Structure
    • RowColumnValueTriplet(T) Structure
    • SingularValueDecomposition(T) Class
    • SparseCompressedColumnMatrix(T) Class
    • SparseMatrix(T) Class
    • SparseVector(T) Class
    • SymmetricEigenvalueDecomposition(T) Class
    • SymmetricMatrix(T) Class
    • TriangularMatrix(T) Class
  • DenseMatrix(T) Class
    • DenseMatrix(T) Constructors
    • Properties
    • Methods
  • Methods
    • Add Method Overloads
    • AddConjugateOuterProduct Method
    • AddOuterProduct Method Overloads
    • AddProduct Method Overloads
    • AddProductInPlace Method Overloads
    • AddScaledAsLeftCore Method Overloads
    • CloneData Method Overloads
    • CopyTo Method Overloads
    • GetCholeskyDecomposition Method Overloads
    • GetColumn Method Overloads
    • GetColumnEnumerator Method Overloads
    • GetDiagonal Method Overloads
    • GetEigenvalueDecomposition Method Overloads
    • GetIdentity Method
    • GetLUDecomposition Method Overloads
    • GetObjectData Method
    • GetParallelColumnEnumerator Method
    • GetParallelRowEnumerator Method
    • GetQRDecomposition Method Overloads
    • GetRow Method Overloads
    • GetRowEnumerator Method Overloads
    • GetSingularValueDecomposition Method Overloads
    • GetSubmatrix Method Overloads
    • GetValue Method Overloads
    • IsElementWritable Method
    • Multiply Method Overloads
    • MultiplyAndAddAsLeftFactorCore Method Overloads
    • MultiplyAndAddAsRightFactorCore Method
    • MultiplyAsLeftCore Method Overloads
    • MultiplyByTranspose Method
    • MultiplyCore Method Overloads
    • MultiplyInPlace Method
    • NormInternal Method
    • PreMultiply Method
    • Reshape Method
    • ReshapeAsVector Method
    • SetValue Method Overloads
    • Solve Method Overloads
    • SolveInto Method Overloads
    • SolveTranspose Method Overloads
    • Sort Method
    • Subtract Method Overloads
    • SubtractProduct Method
    • SwapColumns Method
    • SwapRows Method
    • ToArray Method Overloads
    • Transpose Method
  • MultiplyAsLeftCore Method Overloads
    • MultiplyAsLeftCore Method (TransposeOperation, Vector(T), Vector(T))
  • MultiplyAsLeftCore Method (TransposeOperation, Vector(T), Vector(T))
DenseMatrixTMultiplyAsLeftCore Method (TransposeOperation, VectorT, VectorT)Extreme Optimization Numerical Libraries for .NET Professional
Multiplies a vector by the linear operator and returns the result.

Namespace: Extreme.Mathematics.Generic.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
protected override Vector<T> MultiplyAsLeftCore(
	TransposeOperation transpose,
	Vector<T> right,
	Vector<T> result
)
Protected Overrides Function MultiplyAsLeftCore ( 
	transpose As TransposeOperation,
	right As Vector(Of T),
	result As Vector(Of T)
) As Vector(Of T)
protected:
virtual Vector<T>^ MultiplyAsLeftCore(
	TransposeOperation transpose, 
	Vector<T>^ right, 
	Vector<T>^ result
) override
abstract MultiplyAsLeftCore : 
        transpose : TransposeOperation * 
        right : Vector<'T> * 
        result : Vector<'T> -> Vector<'T> 
override MultiplyAsLeftCore : 
        transpose : TransposeOperation * 
        right : Vector<'T> * 
        result : Vector<'T> -> Vector<'T> 

Parameters

transpose
Type: Extreme.MathematicsTransposeOperation
The operation to be performed on the operator before multiplying.
right
Type: Extreme.Mathematics.GenericVectorT
The right operand of the multiplication.
result
Type: Extreme.Mathematics.GenericVectorT
The vector that is to hold the result. May be .

Return Value

Type: VectorT
A vector that is the product of this matrix and right.
Version Information

Numerical Libraries

Supported in: 5.x
See Also

Reference

DenseMatrixT Class
MultiplyAsLeftCore Overload
Extreme.Mathematics.Generic.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.