public class MullerSolver2 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.
Except for the initial [min, max], it does not require bracketing condition, e.g. f(x0), f(x1), f(x2) can have the same sign. If a complex number arises in the computation, we simply use its modulus as a real approximation.
Because the interval may not be bracketing, the bisection alternative is not applicable here. However in practice our treatment usually works well, especially near real zeroes where the imaginary part of the complex approximation is often negligible.
The formulas here do not use divided differences directly.
MullerSolver| Constructor and Description |
|---|
MullerSolver2()
Construct a solver with default accuracy (1e-6).
|
MullerSolver2(double absoluteAccuracy)
Construct a solver.
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MullerSolver2(double relativeAccuracy,
double absoluteAccuracy)
Construct a solver.
|
| Modifier and Type | Method and Description |
|---|---|
protected double |
doSolve()
Method for implementing actual optimization algorithms in derived
classes.
|
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 MullerSolver2()
public MullerSolver2(double absoluteAccuracy)
absoluteAccuracy - Absolute accuracy.public MullerSolver2(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.