﻿SquareQRDecomposition Class
Represents the QR decomposition of a square matrix.

Namespace: Meta.Numerics.Matrices
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 2.1.0.0 (2.1.0.0)

# Syntax

 C# Visual Basic Visual C++ F#
`public sealed class SquareQRDecomposition`
`Public NotInheritable Class SquareQRDecomposition`
`public ref class SquareQRDecomposition sealed`
```[<SealedAttribute>]
type SquareQRDecomposition =  class end```

# Members

 All Members Properties Methods
 Public Protected Instance Static Declared Inherited XNA Framework Only  .NET Compact Framework Only
MemberDescription
Determinant()()()()
Computes the determinant of the original matrix.
Dimension
Gets the dimension of the original matrix.
Equals(Object)
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
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.)
GetHashCode()()()()
Serves as a hash function for a particular type.
(Inherited from Object.)
GetType()()()()
Gets the Type of the current instance.
(Inherited from Object.)
Inverse()()()()
Computes the inverse of the original matrix.
MemberwiseClone()()()()
Creates a shallow copy of the current Object.
(Inherited from Object.)
QMatrix()()()()
The orthogonal matrix Q.
RMatrix()()()()
The upper-right triangular matrix R.
Solve(IList<(Of <<'(Double>)>>))
Solve the system of equations Ax=b, where A is the original matrix.
ToString()()()()
Returns a String that represents the current Object.
(Inherited from Object.)

# Remarks

A QR decomposition represents a matrix as the product of an orthogonal matrix Q and an upper-right-triangular matrix R.

Like a LU decomposition (SquareLUDecomposition, a QR decomposition can be used to solve systems of equations, or compute a determinant or matrix inverse.

To obtain the QR decomposition of a square matrix, use the QRDecomposition()()()() method of the SquareMatrix class.

# Inheritance Hierarchy

System..::..Object
Meta.Numerics.Matrices..::..SquareQRDecomposition