GaussianElimination

java.lang.Object
- edu.princeton.cs.algs4.GaussianElimination

```
public class GaussianElimination
extends java.lang.Object
```
The GaussianElimination data type provides methods to solve a linear system of equations Ax = b, where A is an m-by-n matrix and b is a length n vector.
This is a bare-bones implementation that uses Gaussian elimination with partial pivoting. See GaussianEliminationLite.java for a stripped-down version that assumes the matrix A is square and nonsingular. See GaussJordanElimination for an alternate implementation that uses Gauss-Jordan elimination. For an industrial-strength numerical linear algebra library, see JAMA.
For additional documentation, see Section 9.9 Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

构造器概要

构造器
构造器	说明
`GaussianElimination(double[][] A, double[] b)`	Solves the linear system of equations Ax = b, where A is an m-by-n matrix and b is a length m vector.

方法概要

修饰符和类型	方法	说明
`boolean`	`isFeasible()`	Returns true if there exists a solution to the linear system of equations Ax = b.
`static void`	`main(java.lang.String[] args)`	Unit tests the `GaussianElimination` data type.
`double[]`	`primal()`	Returns a solution to the linear system of equations Ax = b.

从类继承的方法 java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- 构造器详细资料
  - GaussianElimination
```
public GaussianElimination(double[][] A,
                           double[] b)
```
    Solves the linear system of equations Ax = b, where A is an m-by-n matrix and b is a length m vector.
    
    参数:
    
    A - the m-by-n constraint matrix
    
    b - the length m right-hand-side vector
    
    抛出:
    
    java.lang.IllegalArgumentException - if the dimensions disagree, i.e., the length of b does not equal m
- 方法详细资料
  - primal
```
public double[] primal()
```
    Returns a solution to the linear system of equations Ax = b.
    
    返回:
    
    a solution x to the linear system of equations Ax = b; null if no such solution
  - isFeasible
```
public boolean isFeasible()
```
    Returns true if there exists a solution to the linear system of equations Ax = b.
    
    返回:
    
    true if there exists a solution to the linear system of equations Ax = b; false otherwise
  - main
```
public static void main(java.lang.String[] args)
```
    Unit tests the GaussianElimination data type.
    
    参数:
    
    args - the command-line arguments