public static double Iteration(Func polynom, Func dx, Math.Interval interval, double accuracy)
{
double xk = interval.A;
double x;
double dxMin, dxMax;
double lyambda;
dxMin = dxMax = dx(interval.A);
for (double i = interval.A; i < interval.B; i += accuracy)
{
if (dxMin > dx(i))
{
dxMin = dx(i);
}
if (dxMax < dx(i))
{
dxMax = dx(i);
}
}
if (dxMax <= 3 * dxMin)
{
lyambda = 1.25 / dxMax;
}
else
{
lyambda = 1 / dxMax;
}
do
{
x = xk;
xk = x - lyambda * polynom(x);
}while (Math.Abs(x - xk) >= accuracy);
return(xk);
}
public static double Dichotomy(Func polynom, Math.Interval interval, double accuracy)
{
double root, funcVal;
do
{
root = (interval.A + interval.B) / 2;
funcVal = polynom(root);
if (funcVal == 0)
{
break;
}
if (polynom(interval.A) * funcVal < 0)
{
interval.B = root;
}
else
{
interval.A = root;
}
} while (Math.Abs(interval.A - interval.B) >= accuracy);
return(root);
}
public static double Tangent(Func polynom, Func dx, Func d2x, Math.Interval interval, double accuracy)
{
double point, root;
if (polynom(interval.A) * d2x(interval.A) > 0)
{
do
{
point = interval.A;
interval.A = point - polynom(point) / dx(point);
root = interval.A;
}while (Math.Abs(interval.A - point) >= accuracy);
}
else
{
do
{
point = interval.B;
interval.B = point - polynom(point) / dx(point);
root = interval.B;
}while (Math.Abs(interval.B - point) >= accuracy);
}
return(root);
}
public static double Hords(Func polynom, Func d2x, Math.Interval interval, double accuracy)
{
double border, root;
if (d2x(interval.A) * polynom(interval.A) > 0)
{
do
{
border = interval.B;
interval.B = interval.B - ((interval.B - interval.A) * polynom(interval.B)) / (polynom(interval.B) - polynom(interval.A));
root = interval.B;
} while (Math.Abs(interval.B - border) >= accuracy);
}
else
{
do
{
border = interval.A;
interval.A = interval.A - ((interval.B - interval.A) * polynom(interval.A)) / (polynom(interval.B) - polynom(interval.A));
root = interval.A;
} while (Math.Abs(interval.A - border) >= accuracy);
}
return(root);
}
public static double Pol_Dx(double x)
{
return(6 * Math.Pow(x, 2) + 2 * x - 15);
}
public static double Polindrome(double x)
{
return(2 * Math.Pow(x, 3) + Math.Pow(x, 2) - 15 * x + 10);
}
