public static double HalleyMethod(Function.Function p, double a)
{
Function.Function q = p.Derivate(), r = q.Derivate();
while (p.Y(a) != 0)
{
a -= (2 * p.Y(a) * q.Y(a)) / (2 * q.Y(a) * q.Y(a) - p.Y(a) * r.Y(a));
}
return(a);
}
public static double SecantMethod(Function.Function p, double a, double b)
{
while (p.Y(b) != 0)
{
double c = b - (b - a) * p.Y(b) / (p.Y(b) - p.Y(a));
a = b;
b = c;
}
return(b);
}
public static double FalsePositionMethod(Function.Function p, double a, double b)
{
while (true)
{
double c = (a * p.Y(b) - b * p.Y(a)) / (p.Y(b) - p.Y(a));
if (p.Y(c) == 0)
{
return(c);
}
if (p.Y(c) * p.Y(a) > 0)
{
a = c;
}
else
{
b = c;
}
}
}
public static double?NewtonMethod(Function.Function p, double a)
{
var q = new Function.Quotient(p, p.Derivate());
while (System.Math.Round(p.Y(a), 6) != 0)
{
double d = q.Y(a);
if (Double.IsInfinity(d) || Double.IsNaN(d))
{
a += r.Next(-10000, 10001);
continue;
}
if (System.Math.Round(d, 15) == 0)
{
return(null);
}
a -= d;
}
return(a);
}
public static double Bisection(Function.Function p, double a, double b)
{
while (true)
{
double c = (a + b) / 2, y = p.Y(c);
if (y == 0)
{
return(c);
}
else if (y > 0)
{
b = c;
}
else
{
a = c;
}
if (a == b)
{
throw new Exception("no root in the intervall");
}
}
}