## Jama Class CholeskyDecomposition

```java.lang.Object
Jama.CholeskyDecomposition
```
All Implemented Interfaces:
Serializable

`public class CholeskyDecompositionextends Objectimplements Serializable`

Cholesky Decomposition.

For a symmetric, positive definite matrix A, the Cholesky decomposition is an lower triangular matrix L so that A = L*L'.

If the matrix is not symmetric or positive definite, the constructor returns a partial decomposition and sets an internal flag that may be queried by the isSPD() method.

Serialized Form

Constructor Summary
`CholeskyDecomposition(Matrix Arg)`
Cholesky algorithm for symmetric and positive definite matrix.

Method Summary
` Matrix` `getL()`
Return triangular factor.
` boolean` `isSPD()`
Is the matrix symmetric and positive definite?
` Matrix` `solve(Matrix B)`
Solve A*X = B

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Constructor Detail

### CholeskyDecomposition

`public CholeskyDecomposition(Matrix Arg)`
Cholesky algorithm for symmetric and positive definite matrix. Structure to access L and isspd flag.

Parameters:
`Arg` - Square, symmetric matrix.
Method Detail

### isSPD

`public boolean isSPD()`
Is the matrix symmetric and positive definite?

Returns:
true if A is symmetric and positive definite.

### getL

`public Matrix getL()`
Return triangular factor.

Returns:
L

### solve

`public Matrix solve(Matrix B)`
Solve A*X = B

Parameters:
`B` - A Matrix with as many rows as A and any number of columns.
Returns:
X so that L*L'*X = B
Throws:
`IllegalArgumentException` - Matrix row dimensions must agree.
`RuntimeException` - Matrix is not symmetric positive definite.