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    • 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
  • QRDecomposition Class
    • Members
    • QRDecomposition Constructor
    • Methods
    • Properties
  • Methods
    • ApplyQ Overloads
    • Decompose Method
    • EstimateConditionNumber Method
    • GetDeterminant Method
    • GetInverse Overloads
    • LeastSquaresSolve Overloads
    • Multiply Method
    • MultiplyTranspose Method
    • Rank Overloads
    • Solve Overloads
    • SolveTranspose Overloads
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QRDecomposition Methods

QRDecomposition Class See Also 

The QRDecomposition type exposes the following members.

Methods

  Name Description
Public method AddProductToVector
Multiplies a Vector by this Matrix and stores the result in a second vector of type DenseVector.
(Inherited from LinearOperator.)
Public method ApplyQ Overloaded.
Public method Decompose
Calculates the actual QR decomposition.
(Overrides Decomposition..::..Decompose()()()().)
Public method Equals
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
Public method EstimateConditionNumber
Calculates an estimate for the condition number of the matrix.
(Overrides LinearOperator..::..EstimateConditionNumber()()()().)
Protected method Finalize
Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
(Inherited from Object.)
Public method GetDeterminant
Calculates the determinant of the decomposed matrix.
(Overrides LinearOperator..::..GetDeterminant()()()().)
Public method GetHashCode
Serves as a hash function for a particular type.
(Inherited from Object.)
Public method GetInverse Overloaded.
Public method GetObjectData
Populates a SerializationInfo with the data needed to serialize the target object.
(Inherited from LinearOperator.)
Public method GetType
Gets the Type of the current instance.
(Inherited from Object.)
Public method IsSingular
Gets a value indicating whether the BaseMatrix of this decomposition is singular.
(Inherited from Decomposition.)
Public method LeastSquaresSolve Overloaded.
Protected method MemberwiseClone
Creates a shallow copy of the current Object.
(Inherited from Object.)
Public method Multiply Overloaded.
Public method MultiplyTranspose Overloaded.
Public method Rank Overloaded.
Returns the numerical rank of the matrix.
Protected method SetSingular
Sets a flag that indicates the underlying matrix of this decomposition is singular.
(Inherited from Decomposition.)
Public method Solve Overloaded.
Solves the system of simultaneous linear equations represented by this instance.
Solves the system of simultaneous linear equations represented by this instance.
Public method SolveTo
Solves the system for the specified right-hand side.
(Inherited from LinearOperator.)
Public method SolveTranspose Overloaded.
Solves the transposed system of simultaneous linear equations represented by this instance.
Public method SolveTransposeTo
Solves the transposed system for the specified right-hand side.
(Inherited from LinearOperator.)
Public method ToString
Returns a String that represents the current Object.
(Inherited from Object.)

See Also

QRDecomposition Class
Extreme.Mathematics.LinearAlgebra Namespace

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