QRDecomposition Class |
Represents a QR decomposition of a matrix.
Inheritance HierarchyNamespace: Meta.Numerics.Matrices
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
SyntaxThe QRDecomposition type exposes the following members.
Properties| Name | Description | |
|---|---|---|
 | ColumnCount |
Gets the number of columns in the original matrix.
|
| QMatrix |
The orthogonal matrix Q.
|
| RMatrix |
The upper-right triangular matrix R.
|
| RowCount |
Get the number of rows in the original matrix.
|
Methods| Name | Description | |
|---|---|---|
 | 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.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| Solve |
Solve the system A x = b.
|
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
RemarksA QR decomposition represents a rectangular matrix as the product of a square, orthogonal matrix Q and a rectangular, right-upper-triangular matrix R. For example:
The method QRDecomposition of the RectangularMatrix class can be used to QR decompose a rectangular matrix.
Note that this method produces the full QR decomposition, i.e. QMatrix is a square, orthogonal M X M matrix and RMatrix is a rectangular M X N matrix. In the reduced QR decomposition, which can also be used to solve linear systems, Q is a rectangular M X N matrix and R is a square N X N matrix.
See Also