Number - Scala Mathematical Library/com.phasmidsoftware.number/com.phasmidsoftware.number.core/com.phasmidsoftware.number.core.misc/Newton

Newton

com.phasmidsoftware.number.core.misc.Newton

case class Newton(f: Double => Double, dfByDx: Double => Double)

A case class for solving equations using Newton's approximation method (Newton-Raphson) https://en.wikipedia.org/wiki/Newton%27s_method. Newton-Raphson is a special case of Householder's more general method https://en.wikipedia.org/wiki/Householder%27s_method. CONSIDER implementing Halley's method https://en.wikipedia.org/wiki/Halley%27s_method.

Value parameters

dfByDx: The derivative of the function.
f: The function whose root is to be found.

Attributes

Constructor: Creates a new Newton solver with the given function and its derivative.
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Supertypes: trait Serializable

trait Product

trait Equals

class Object

trait Matchable

class Any
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Members list

Value members

Concrete methods

Solves the given equation using the Newton-Raphson method by iteratively refining an initial guess. The method attempts to find a root of the function f(x) = 0 within a specified threshold of accuracy. If the solution does not converge within the given number of tries, it returns a failure.

Value parameters

initial: The initial guess for the root of the equation.
threshold: The convergence threshold, representing the acceptable difference between f(x) and 0.
tries: The maximum number of iterations allowed for convergence.

Attributes

Returns: A Try[Double] containing the root if converged successfully, or a Failure if the method fails.

Inherited methods

An iterator over the names of all the elements of this product.

Attributes

Inherited from:: Product

An iterator over all the elements of this product.

Attributes

Returns: in the default implementation, an Iterator[Any]
Inherited from:: Product

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