Polynomial Root FindingΒΆ

The root of a polynomial is a complex number such that when feed into the polynomial will generate an output of 0.

ExamplePolynomialRoot.java

 1 public static void main( String args[] ) {
 2     // Select which algorithm to use
 3     PolynomialRoots finder = PolynomialOps.createRootFinder(6, RootFinderType.EVD);
 4 
 5     // Create an arbitrary 3rd order polynomial
 6     // f(x) = 2 + 0.2*x + 5*x^2 + 3*x^3
 7     Polynomial poly = Polynomial.wrap( 2 , 0.2 , 5 , 3 );
 8 
 9     // Find the roots
10     if( !finder.process(poly) )
11         throw new RuntimeException("Failed to find solution!");
12 
13     // Print the solution
14     List<Complex_F64> roots = finder.getRoots();
15 
16     System.out.println("Total roots found: "+roots.size());
17 
18     for( Complex_F64 c : roots ) {
19         if( !c.isReal() ) {
20             System.out.println("root is imaginary: "+c);
21             continue;
22         }
23 
24         double value = poly.evaluate(c.real);
25         System.out.println("Polynomial value at "+c.real+" is "+value);
26     }
27 }