NaiveDeterminant (ejml-experimental 0.39 API)

java.lang.Object
- org.ejml.dense.row.misc.NaiveDeterminant

```
public class NaiveDeterminant
extends java.lang.Object
```
Computes the determinant using different very simple and computationally expensive algorithms.

Constructor Summary

Constructors
Constructor Description

NaiveDeterminant()

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static double`	`leibniz(org.ejml.data.DMatrixRMaj mat)`	Computes the determinant of the matrix using Leibniz's formula
`static double`	`recursive(org.ejml.data.DMatrixRMaj mat)`	A simple and inefficient algorithm for computing the determinant.
`static float`	`recursive(org.ejml.data.FMatrixRMaj mat)`

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

- Constructor Detail
  - NaiveDeterminant
```
public NaiveDeterminant()
```
- Method Detail
  - leibniz
```
public static double leibniz(org.ejml.data.DMatrixRMaj mat)
```
    Computes the determinant of the matrix using Leibniz's formula
    
    A direct implementation of Leibniz determinant equation. This is of little practical use because of its slow runtime of O(n!) where n is the width of the matrix. LU decomposition should be used instead. One advantage of Leibniz's equation is how simplistic it is.
    
    det(A) = Sum( σ in S_n ; sgn(σ) Prod( i = 1 to n ; a_i,σ(i)) )
    
    sgn is the sign function of permutations. +1 or -1 for even and odd permutations
    
    a set of permutations. if n=3 then the possible permutations are (1,2,3) (1,3,2), (3,2,1), ... etc
    Parameters:
    
    mat - The matrix whose determinant is computed.
    
    Returns:
    
    The value of the determinant
  - recursive
```
public static double recursive(org.ejml.data.DMatrixRMaj mat)
```
    A simple and inefficient algorithm for computing the determinant. This should never be used. It is at least two orders of magnitude slower than DeterminantFromMinor_DDRM. This is included to provide a point of comparison for other algorithms.
    
    Parameters:
    
    mat - The matrix that the determinant is to be computed from
    
    Returns:
    
    The determinant.
  - recursive
```
public static float recursive(org.ejml.data.FMatrixRMaj mat)
```