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.LinearAlgebra Namespace
    • BandMatrix Class
    • BandVector Class
    • CholeskyDecomposition Class
    • CloningMethod Enumeration
    • ColumnCollection Structure
    • ComponentReadOnlyException Class
    • ConstantMatrix Class
    • ConstantVector Class
    • Decomposition Class
    • DenseMatrix Class
    • DenseVector Class
    • DiagonalMatrix Class
    • EigenvalueDecomposition Class
    • IDoubleStorage Interface
    • ILeastSquaresSolver Interface
    • IndexedVector Class
    • IndexValuePair Structure
    • IResizableMatrix Interface
    • ISingleLeastSquaresSolver Interface
    • ISingleResizableMatrix Interface
    • ISingleStorage Interface
    • Kernel Class
    • LeastSquaresSolutionMethod Enumeration
    • LeastSquaresSolver Class
    • LinearOperator Class
    • LUDecomposition Class
    • MatrixNotPositiveDefiniteException Class
    • MatrixSingularException Class
    • MatrixStructure Enumeration
    • MatrixView Class
    • NonNegativeMatrixFactorization Class
    • NonsymmetricEigenvalueDecomposition Class
    • PermutationMatrix Class
    • PivotVector Structure
    • QRDecomposition Class
    • Range Structure
    • RowCollection Structure
    • RowColumnValueTriplet Structure
    • 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
    • SingularValueDecompositionFactors Enumeration
    • SparseCompressedColumnMatrix Class
    • SparseMatrix Class
    • SparseVector Class
    • SymmetricEigenvalueDecomposition Class
    • SymmetricMatrix Class
    • TriangularMatrix Class
  • BandMatrix Class
    • Members
    • Constructors
    • Methods
    • Properties
  • Methods
    • Add Method
    • AddProductToVector Method
    • ApplyToColumns Method
    • ApplyToRows Method
    • Clone Method
    • CloneData Method
    • CopyTo Method
    • Equals Method
    • EstimateConditionNumber Method
    • Extract Overloads
    • ExtractSymmetric Overloads
    • GetCholeskyDecomposition Overloads
    • GetColumn Overloads
    • GetComponents Method
    • GetDeterminant Method
    • GetDiagonal Overloads
    • GetEigenvalueDecomposition Method
    • GetHashCode Method
    • GetInverse Overloads
    • GetLUDecomposition Overloads
    • GetObjectData Method
    • GetQRDecomposition Method
    • GetRow Overloads
    • GetSingularValueDecomposition Method
    • GetSubmatrix Method
    • GetValue Method
    • IsComponentWritable Method
    • IsSingular Method
    • Multiply Overloads
    • MultiplyTranspose Method
    • PermuteRowsAndColumns Method
    • Rank Method
    • SetValue Overloads
    • Solve Overloads
    • SolveTranspose Overloads
    • SortColumns Method
    • SortRows Method
    • ToArray Overloads
    • ToGeneralBandMatrix Overloads
    • ToString Method
  • AddProductToVector Method
Collapse image Expand Image Copy image CopyHover image
         




BandMatrix..::..AddProductToVector Method

BandMatrix Class See Also 
Multiplies a Vector by this Matrix and stores the result in a second Vector.

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

Syntax

C#
                      public override DenseVector AddProductToVector(
	double alpha,
	Vector vector,
	TransposeOperation trans,
	double beta,
	DenseVector resultVector
)
Visual Basic (Declaration)
                      Public Overrides Function AddProductToVector ( _
	alpha As Double, _
	vector As Vector, _
	trans As TransposeOperation, _
	beta As Double, _
	resultVector As DenseVector _
) As DenseVector
Visual C++
                      public:
virtual DenseVector^ AddProductToVector(
	double alpha, 
	Vector^ vector, 
	TransposeOperation trans, 
	double beta, 
	DenseVector^ resultVector
) override
F#
                      abstract AddProductToVector : 
        alpha:float * 
        vector:Vector * 
        trans:TransposeOperation * 
        beta:float * 
        resultVector:DenseVector -> DenseVector 
override AddProductToVector : 
        alpha:float * 
        vector:Vector * 
        trans:TransposeOperation * 
        beta:float * 
        resultVector:DenseVector -> DenseVector 

Parameters

alpha
Type: System..::..Double
Multiplier for the vector-matrix product of this matrix with vector.
vector
Type: Extreme.Mathematics..::..Vector
A Vector.
trans
Type: Extreme.Mathematics..::..TransposeOperation
A TransposeOperation value that specifies the operation, if any, to be performed on this instance before the multiplication.
beta
Type: System..::..Double
Multiplier for the resultVector.
resultVector
Type: Extreme.Mathematics.LinearAlgebra..::..DenseVector
The DenseVector that is to contain the result of the multiplication.

Return Value

The vector resultVector.

Remarks

This method uses the BLAS routine DGEMV.

Exceptions

Exception Condition
System..::..ArgumentNullException vector is nullNothingnullptra null reference (Nothing in Visual Basic).

-or-

resultVector is nullNothingnullptra null reference (Nothing in Visual Basic).

Extreme.Mathematics..::..DimensionMismatchException The length of the resultVector does not equal the number of columns of this matrix.

-or-

The length of vector does not equal the number of rows of this matrix.

See Also

BandMatrix Class
Extreme.Mathematics.LinearAlgebra 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.