This class provides the means to evaluate continued fractions.

For a list of all members of this type, see ContinuedFraction Members.

System.Object
   numerics4net.IterativeMethod
      numerics4net.continuedfraction.ContinuedFraction

Thread Safety

Public static (Shared in Visual Basic) members of this type are safe for multithreaded operations. Instance members are not guaranteed to be thread-safe.

Remarks

To create a continued fraction (1), authors provide concrete a and b coefficient delegates.

For example, this is the continued fraction for the exponential function defined by (2):

double ExponentialA(int n, double x) {
    if (n == 0) {
        return 1.0;
    } else if (n % 2 == 0) { // even
        return 2.0;
    } else { // odd
        return n;
    }
}

double ExponentialB(int n, double x) {
    if (n % 2 == 0) { // even
        return x;
    } else { // odd
        return -x;
    }
}

ContinuedFraction exponential = new ContinuedFraction(
    new ContinuedFraction.Coefficient(ExponentialA),
    new ContinuedFraction.Coefficient(ExponentialB));

References:

1. Eric W. Weisstein. "Continued Fraction." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ContinuedFraction.html
2. Exponential Function: Continued Fraction Representation. http://functions.wolfram.com/01.03.10.0001.01

Requirements

Namespace: numerics4net.continuedfraction

Assembly: numerics4net-1.2 (in numerics4net-1.2.dll)

See Also

ContinuedFraction Members | numerics4net.continuedfraction Namespace