public class MullerSolver extends AbstractUnivariateSolver
Muller's method applies to both real and complex functions, but here we
restrict ourselves to real functions.
This class differs from MullerSolver in the way it avoids complex
operations.
Muller's original method would have function evaluation at complex point. Since our f(x) is real, we have to find ways to avoid that. Bracketing condition is one way to go: by requiring bracketing in every iteration, the newly computed approximation is guaranteed to be real.
Normally Muller's method converges quadratically in the vicinity of a zero, however it may be very slow in regions far away from zeros. For example, f(x) = exp(x) - 1, min = -50, max = 100. In such case we use bisection as a safety backup if it performs very poorly.
The formulas here use divided differences directly.
MullerSolver2| Constructor and Description |
|---|
MullerSolver()
Construct a solver with default accuracy (1e-6).
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MullerSolver(double absoluteAccuracy)
Construct a solver.
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MullerSolver(double relativeAccuracy,
double absoluteAccuracy)
Construct a solver.
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| Modifier and Type | Method and Description |
|---|---|
protected double |
doSolve()
Method for implementing actual optimization algorithms in derived
classes.
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computeObjectiveValue, getAbsoluteAccuracy, getEvaluations, getFunctionValueAccuracy, getMax, getMaxEvaluations, getMin, getRelativeAccuracy, getStartValue, incrementEvaluationCount, isBracketing, isSequence, setup, solve, solve, solve, verifyBracketing, verifyInterval, verifySequenceclone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, waitgetAbsoluteAccuracy, getEvaluations, getFunctionValueAccuracy, getMaxEvaluations, getRelativeAccuracy, solve, solve, solvepublic MullerSolver()
public MullerSolver(double absoluteAccuracy)
absoluteAccuracy - Absolute accuracy.public MullerSolver(double relativeAccuracy,
double absoluteAccuracy)
relativeAccuracy - Relative accuracy.absoluteAccuracy - Absolute accuracy.protected double doSolve()
throws TooManyEvaluationsException,
NumberIsTooLargeException,
NoBracketingException
doSolve in class BaseAbstractUnivariateSolver<UnivariateFunction>TooManyEvaluationsException - if the maximal number of evaluations
is exceeded.NoBracketingException - if the initial search interval does not bracket
a root and the solver requires it.NumberIsTooLargeExceptionCopyright © 2003–2016 The Apache Software Foundation. All rights reserved.