![]() ![]() The algorithm is robust and commonly used in libraries with a roots() function built in. It has a guaranteed run time equal to that of the bisection method (which always converges in a known number of steps (log2(upperbound-lowerbound)tolerance steps to be precise ) unlike the other methods), but the algorithm uses the much faster inverse quadratic interpolation and secant method whenever possible. Abs ( fb ) ) if magnitude of fa is less than magnitude of fb Swap ( ref a, ref b ) swap a and b Swap ( ref fa, ref fb ) make sure f(a) and f(b) are correct after swap end for throw new AggregateException ( The solution does not converge or iterations are not sufficient ) end brentsfun. WriteLine ( 0, cx ) ox x oy y os s public static void Main ( string args ) Func double, double f x return x x x - 3 x x 2 x PrintRoots ( f, - 1.0, 4, 0.002 ).Ībs ( fa ) Math. WriteLine ( x ) else if ( s os ) var dx x - ox var dy y - oy var cx x - dx ( y dy ) Console. WriteLine ( Root found at 0, x ) Update our sign sign ( value 0 ) 1: 0. WriteLine ( Root found near 0, x ) else if ( value 0 ) We hit a root Console. ![]() Program For Bisection Method In Fortran Code Using Memoization. ![]()
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