﻿ QrDecomposition Class

QrDecomposition Class

QR decomposition for a rectangular matrix.
Inheritance Hierarchy
SystemObject
Accord.Math.DecompositionsQrDecomposition

Namespace:  Accord.Math.Decompositions
Assembly:  Accord.Math (in Accord.Math.dll) Version: 3.8.0
Syntax
```public sealed class QrDecomposition : ICloneable,
ISolverMatrixDecomposition<double>```

The QrDecomposition type exposes the following members.

Constructors
NameDescription
QrDecomposition
Constructs a QR decomposition.
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Properties
NameDescription
Diagonal
Returns the diagonal of R.
FullRank
Shows if the matrix A is of full rank.
OrthogonalFactor
Returns the (economy-size) orthogonal factor Q.
UpperTriangularFactor
Returns the upper triangular factor R.
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Methods
NameDescription
Clone
Creates a new object that is a copy of the current instance.
Equals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
GetHashCode
Serves as the default hash function.
(Inherited from Object.)
GetInformationMatrix
Computes (Xt * X)^1 (the inverse of the covariance matrix). This matrix can be used to determine standard errors for the coefficients when solving a linear set of equations through any of the Solve(Double) methods.
GetType
Gets the Type of the current instance.
(Inherited from Object.)
Inverse
Least squares solution of A * X = I
Reverse
Reverses the decomposition, reconstructing the original matrix X.
Solve(Double)
Least squares solution of A * X = B
Solve(Double)
Least squares solution of A * X = B
SolveTranspose
Least squares solution of X * A = B
ToString
Returns a string that represents the current object.
(Inherited from Object.)
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Extension Methods
NameDescription
HasMethod
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)
IsEqual
Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.
(Defined by Matrix.)