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    • Extreme.Mathematics Namespace
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  • Extreme.Mathematics.LinearAlgebra Namespace
    • BandMatrix Class
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    • CholeskyDecomposition Class
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    • MatrixStructure Enumeration
    • MatrixView Class
    • NonNegativeMatrixFactorization Class
    • NonsymmetricEigenvalueDecomposition Class
    • PermutationMatrix Class
    • PivotVector Structure
    • QRDecomposition Class
    • Range Structure
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    • SingleBandCholeskyDecomposition Class
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    • SparseCompressedColumnMatrix Class
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  • QRDecomposition Class
    • Members
    • QRDecomposition Constructor
    • Methods
    • Properties
  • Members
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QRDecomposition Members

QRDecomposition Class Constructors Methods Properties See Also 

The QRDecomposition type exposes the following members.

Constructors

  Name Description
Protected method QRDecomposition
Constructs a new QRDecomposition.

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.)

Properties

  Name Description
Public property BaseMatrix
Gets the underlying matrix of the decomposition.
(Inherited from Decomposition.)
Public property ColumnCount
Gets the number of columns in the matrix.
(Inherited from Decomposition.)
Public property ColumnPermutation
Returns the permutation used to permute the columns of the matrix.
Protected property Done
Gets or sets a value that indicates whether the decomposition has been performed.
(Inherited from Decomposition.)
Public property Factors
Gets a collection of the matrix factors that make up the decomposition.
(Overrides Decomposition..::..Factors.)
Public property OrthogonalFactor
Gets the orthogonal matrix Q of this QRDecomposition.
Public property Overwrite
Gets or sets a value indicating whether the BaseMatrix should be overwritten by its decomposition.
(Inherited from Decomposition.)
Public property RowCount
Gets the number of rows in the matrix.
(Inherited from Decomposition.)
Public property TrimmedUpperTriangularFactor
Gets the upper triangular matrix R of this QRDecomposition.
Public property UpperTriangularFactor
Gets the upper triangular matrix R of this QRDecomposition.
Public property UseColumnPivoting
Gets or sets a value that specifies whether to use column pivoting to improve stability.

See Also

QRDecomposition Class
Extreme.Mathematics.LinearAlgebra Namespace

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