 | LUDecompositionD Class |
Computes the LU Decomposition of a matrix (double-precision).
Inheritance HierarchyNamespace: DigitalRune.Mathematics.Algebra
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)
SyntaxThe LUDecompositionD type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | LUDecompositionD |
Creates the LU decomposition of the given matrix.
|
Methods| Name | Description | |
|---|---|---|
| Equals | (Inherited from Object.) |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it 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.) |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) |
| SolveLinearEquations |
Solves the equation A * X = B.
|
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
Properties| Name | Description | |
|---|---|---|
 | Determinant |
Gets the determinant of matrix A.
|
| IsNumericallySingular |
Gets a value indicating whether the matrix U is numerically singular.
|
| L |
Gets the lower triangular matrix L. (This property returns the internal matrix,
not a copy.)
|
| PivotPermutationVector |
Gets the pivot permutation vector. (This property returns the internal array,
not a copy.)
|
| U |
Gets the upper triangular matrix U. (This property returns the internal matrix,
not a copy.)
|
RemarksThe LU Decomposition computes a unit lower triangular matrix L and an upper triangular matrix U for a matrix A so that A' = L * U where A' is a row-permutation of A.
The LU Decomposition with pivoting always exists, even if the matrix is singular.
Application: LU Decomposition is the preferred way to solve a linear set of equations. This will fail if the matrix A is singular.
Use QR Decomposition for rectangular matrices A with m ≥ n.
See Also