GaussElimination

java.lang.Object
- edu.jas.commons.math.GaussElimination<C>

Type Parameters:

C - ring element type
```
public class GaussElimination<C extends edu.jas.structure.RingElem<C>>
extends java.lang.Object
```
Algorithms related to Gaussian elimination. Conversion to commons-math classes and delegation to commons-math algorithms.

Author:

Heinz Kredel

Constructor Summary

Constructors
Constructor Description

GaussElimination()

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`C`	`determinant(edu.jas.vector.GenMatrix<C> a)`	Determinant of a matrix.
`edu.jas.vector.GenMatrix<C>`	`inverse(edu.jas.vector.GenMatrix<C> a)`	Inverse of a matrix.
`boolean`	`isNullSpace(edu.jas.vector.GenMatrix<C> a, edu.jas.vector.GenMatrix<C> n)`	Test if n is a null space for the linear system: a * n = 0.
`edu.jas.vector.GenVector<C>`	`solve(edu.jas.vector.GenMatrix<C> a, edu.jas.vector.GenVector<C> b)`	Solve a linear system: a x = b.
`C`	`trace(edu.jas.vector.GenMatrix<C> a)`	Trace of a matrix.

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

- Constructor Detail
  - GaussElimination
```
public GaussElimination()
```
- Method Detail
  - determinant
```
public C determinant(edu.jas.vector.GenMatrix<C> a)
```
    Determinant of a matrix.
    
    Parameters:
    
    a - matrix
    
    Returns:
    
    determinant of a
  - inverse
```
public edu.jas.vector.GenMatrix<C> inverse(edu.jas.vector.GenMatrix<C> a)
```
    Inverse of a matrix.
    
    Parameters:
    
    a - matrix
    
    Returns:
    
    inverse matrix of a
  - isNullSpace
```
public boolean isNullSpace(edu.jas.vector.GenMatrix<C> a,
                           edu.jas.vector.GenMatrix<C> n)
```
    Test if n is a null space for the linear system: a * n = 0.
    
    Parameters:
    
    a - matrix
    
    n - matrix
    
    Returns:
    
    true, if n is a nullspace of a, else false
  - solve
```
public edu.jas.vector.GenVector<C> solve(edu.jas.vector.GenMatrix<C> a,
                                         edu.jas.vector.GenVector<C> b)
```
    Solve a linear system: a x = b.
    
    Parameters:
    
    a - matrix
    
    b - vector of right hand side
    
    Returns:
    
    a solution vector x
  - trace
```
public C trace(edu.jas.vector.GenMatrix<C> a)
```
    Trace of a matrix.
    
    Parameters:
    
    a - matrix
    
    Returns:
    
    trace of a