Secant class

Implements the Secant method to find the roots of a given equation.

Characteristics:

The method is not guaranteed to converge to a root of f(x).
The secant method does not require the root to remain bracketed, like the bisection method does for example, so it doesn't always converge.

Inheritance

Constructors

Secant({required String function, required double firstGuess, required double secondGuess, double tolerance = 1.0e-10, int maxSteps = 15}): Instantiates a new object to find the root of an equation by using the Secant method. Ideally, the two guesses should be close to the root.
const

firstGuess → double: The first guess
final
function → String: The function f(x) for which the algorithm has to find a solution.
finalinherited
hashCode → int: The hash code for this object.
no setteroverride
maxSteps → int: The maximum number of iterations to be made by the algorithm.
finalinherited
runtimeType → Type: A representation of the runtime type of the object.
no setterinherited
secondGuess → double: The second guess
final
tolerance → double: The accuracy of the algorithm.
finalinherited

convergence(List<double> guesses, int steps) → double: In order to get a meaningful result, it makes sense to compute the rate of convergence only if the algorithm made at least 3 steps (iterations).
inherited
efficiency(List<double> guesses, int steps) → double: The efficiency is evaluated only if the convergence is not double.nan. The formula is:
inherited
evaluateDerivativeOn(double x) → num: Evaluates the derivative of the function on the given x value.
inherited
evaluateOn(double x) → num: Evaluates the function on the given x value.
inherited
integrateOn(NumericalIntegration numericalIntegration) → IntegralResults: Calculates the numerical value of the integral of this function using a NumericalIntegration algorithm.
inherited
noSuchMethod(Invocation invocation) → dynamic: Invoked when a nonexistent method or property is accessed.
inherited
solve() → NonlinearResults: Returns a NonlinearResults object which contains the data calculated by the root-finding algorithm.
override
toString() → String: A string representation of this object.
inherited