pisgah
Class Solve

java.lang.Object
  |
  +--pisgah.Solve

public class Solve

extends java.lang.Object

 Solve - solve cdf(x)=y within the given range


 Output
	Zeroin returns an estimate for the root with accuracy
	4*EPSILON*abs(x) + tol

 Algorithm
	G.Forsythe, M.Malcolm, C.Moler, Computer methods for mathematical
	computations. M., Mir, 1980, p.180 of the Russian edition

	The function makes use of the bissection procedure combined with
	the linear or quadric inverse interpolation.
	At every step program operates on three abscissae - a, b, and c.
	b - the last and the best approximation to the root
	a - the last but one approximation
	c - the last but one or even earlier approximation than a that
		1) |f(b)| <= |f(c)|
		2) f(b) and f(c) have opposite signs, i.e. b and c confine
		   the root
	At every step Zeroin selects one of the two new approximations, the
	former being obtained by the bissection procedure and the latter
	resulting in the interpolation (if a,b, and c are all different
	the quadric interpolation is utilized, otherwise the linear one).
	If the latter (i.e. obtained by the interpolation) point is 
	reasonable (i.e. lies within the current interval [b,c] not being
	too close to the boundaries) it is accepted. The bissection result
	is used in the other case. Therefore, the range of uncertainty is
	ensured to be reduced at least by the factor 1.6

Constructor Summary

Solve()

Method Summary

static double

zeroin(double ax, double bx, CalculatorInfo ci, double y, double tol) Find a zero in the specified interval

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solve

public Solve()

Method Detail

zeroin

public static double zeroin(double ax,
                            double bx,
                            CalculatorInfo ci,
                            double y,
                            double tol)
                     throws ZeroBracketingException

Find a zero in the specified interval

ZeroBracketingException