**'cern.colt.matrix.linalg.LUDecomposition'**Java class

cern.colt.matrix.linalg

## Class LUDecomposition

- java.lang.Object
- cern.colt.matrix.linalg.LUDecomposition

- All Implemented Interfaces:
- Serializable

public class LUDecompositionextends Objectimplements Serializable

For an`m x n`matrix`A`with`m >= n`, the LU decomposition is an`m x n`unit lower triangular matrix`L`, an`n x n`upper triangular matrix`U`,and a permutation vector`piv`of length`m`so that`A(piv,:) = L*U`;If`m < n`, then`L`is`m x m`and`U`is`m x n`.The LU decomposition with pivoting always exists, even if the matrix issingular, so the constructor will never fail. The primary use of theLU decomposition is in the solution of square systems of simultaneouslinear equations. This will fail if

`isNonsingular()`returns false.- See Also:
- Serialized Form

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