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
    • BandMatrix Class
    • BandMatrix(T) Class
    • BandVector Class
    • BlockVector(T) Class
    • CholeskyDecomposition Class
    • CholeskyDecomposition(T) Class
    • CloningMethod Enumeration
    • ColumnCollection Structure
    • ColumnCollection(T) Structure
    • ComplexEigenvalueDecomposition Class
    • ComplexSingularValueDecomposition(T) Class
    • ComponentReadOnlyException Class
    • ComposedComplexMatrix(T) Class
    • ComposedComplexVector(T) Class
    • ConstantMatrix Class
    • ConstantMatrix(T) Class
    • ConstantVector Class
    • ConstantVector(T) Class
    • Decomposition Class
    • Decomposition(T) Class
    • DenseMatrix Class
    • DenseMatrix(T) Class
    • DenseVector Class
    • DenseVector(T) Class
    • DiagonalMatrix Class
    • DiagonalMatrix(T) Class
    • EigenvalueDecomposition Class
    • EigenvalueDecomposition(T) Class
    • EigenvalueRange Enumeration
    • GeneralizedDecomposition(T) Class
    • GeneralizedEigenvalueDecomposition(T) Class
    • GeneralizedSingularValueDecomposition(T) Class
    • GeneralizedSingularValueDecompositionFactors Enumeration
    • HermitianEigenvalueDecomposition Class
    • HermitianMatrix(T) Class
    • IDoubleStorage Interface
    • ILeastSquaresSolver Interface
    • IndexedVector Class
    • IndexedVector(T) Class
    • IndexValuePair Structure
    • IndexValuePair(T) Structure
    • IResizableMatrix Interface
    • IResizableMatrix(T) Interface
    • ISingleLeastSquaresSolver Interface
    • ISingleResizableMatrix Interface
    • ISingleStorage Interface
    • Kernel Class
    • LeastSquaresSolutionMethod Enumeration
    • LeastSquaresSolver Class
    • LeastSquaresSolver(T) Class
    • LinearAlgebraOperations Class
    • LinearOperator Class
    • LinearOperator(T) Class
    • LQDecomposition(T) Class
    • LUDecomposition Class
    • LUDecomposition(T) Class
    • MatrixNotPositiveDefiniteException Class
    • MatrixSingularException Class
    • MatrixStructure Enumeration
    • MatrixView Class
    • MatrixView(T) Class
    • NonHermitianEigenvalueDecomposition Class
    • NonHermitianEigenvalueDecomposition(T) Class
    • NonNegativeMatrixFactorization Class
    • NonNegativeMatrixFactorization(T) Class
    • NonsymmetricEigenvalueDecomposition Class
    • PermutationMatrix Class
    • PivotVector Structure
    • QLDecomposition(T) Class
    • QRDecomposition Class
    • QRDecomposition(T) Class
    • Range Structure
    • RowCollection Structure
    • RowCollection(T) Structure
    • RowColumnValueTriplet Structure
    • RowColumnValueTriplet(T) Structure
    • RQDecomposition(T) Class
    • 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
    • SingularValueDecomposition(T) Class
    • SingularValueDecompositionFactors Enumeration
    • SparseCompressedColumnMatrix Class
    • SparseCompressedColumnMatrix(T) Class
    • SparseMatrix Class
    • SparseMatrix(T) Class
    • SparseVector Class
    • SparseVector(T) Class
    • SymmetricEigenvalueDecomposition Class
    • SymmetricIndefiniteDecomposition Class
    • SymmetricIndefiniteDecomposition(T) Class
    • SymmetricMatrix Class
    • SymmetricMatrix(T) Class
    • TriangularMatrix Class
    • TriangularMatrix(T) Class
  • QRDecomposition Class
    • QRDecomposition Constructor
    • Properties
    • Methods
  • Methods
    • ApplyQ Method Overloads
    • Decompose Method
    • EstimateConditionNumber Method
    • GetDeterminant Method
    • GetInverse Method Overloads
    • LeastSquaresSolve Method Overloads
    • Rank Method Overloads
    • Solve Method Overloads
    • SolveTranspose Method Overloads
  • ApplyQ Method Overloads
    • ApplyQ Method (DenseMatrix)
    • ApplyQ Method (DenseVector)
    • ApplyQ Method (TransposeOperation, DenseMatrix)
    • ApplyQ Method (TransposeOperation, DenseVector)
    • ApplyQ Method (MatrixOperationSide, TransposeOperation, DenseMatrix)
  • ApplyQ Method (DenseVector)
QRDecompositionApplyQ Method (DenseVector)Extreme Optimization Numerical Libraries for .NET Professional

Note: This API is now obsolete.

Multiplies a vector in place by the orthogonal factor Q of this QRDecomposition.

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

C#
VB
C++
F#
Copy
[ObsoleteAttribute("Use the Multiply method of the OrthogonalFactor property instead.")]
public DenseVector ApplyQ(
	DenseVector vector
)
<ObsoleteAttribute("Use the Multiply method of the OrthogonalFactor property instead.")>
Public Function ApplyQ ( 
	vector As DenseVector
) As DenseVector
public:
[ObsoleteAttribute(L"Use the Multiply method of the OrthogonalFactor property instead.")]
DenseVector^ ApplyQ(
	DenseVector^ vector
)
[<ObsoleteAttribute("Use the Multiply method of the OrthogonalFactor property instead.")>]
member ApplyQ : 
        vector : DenseVector -> DenseVector 

Parameters

vector
Type: Extreme.Mathematics.LinearAlgebraDenseVector
A DenseVector with the same number of rows as Q.

Return Value

Type: DenseVector
A reference to the transformed vector.
Exceptions

ExceptionCondition
ArgumentNullExceptionvector is .
DimensionMismatchException The length of vector does not equal the number of rows of the matrix.
Remarks

The multiplication is performed implicitly.

Version Information

Numerical Libraries

Obsolete (compiler warning) in 5.x
Obsolete (compiler warning) in 4.x
See Also

Reference

QRDecomposition Class
ApplyQ Overload
Extreme.Mathematics.LinearAlgebra 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.