Represents the QR decomposition of a square matrix.
Namespace: Meta.Numerics.MatricesAssembly: 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  |
| Member | Description | |
|---|---|---|
| Determinant()()()() |
Computes the determinant of the original matrix.
|
| Dimension |
Gets the dimension of the original matrix.
|
| Equals(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()()()() | (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.
