Newton's method

American  

noun

Mathematics.

1. a process for approximating the roots of an equation by replacing the curve representing the equation by its tangent and finding the intersection of the tangent with the x-axis and iterating this process.

---

Etymology

Origin of Newton's method

After I. Newton

---

Example Sentences

See Examples For:

Newton's method

Therefore, any subsequent application of Newton’s method will most likely give the same value for xn.

From Textbooks ● Mar. 30, 2016

Use Newton’s method to determine the interest rate if the interest was compounded continuously.

From Textbooks ● Mar. 30, 2016

When using Newton’s method, each approximation after the initial guess is defined in terms of the previous approximation by using the same formula.

From Textbooks ● Mar. 30, 2016

First, let’s look at the reasons why Newton’s method could fail to find a root.

From Textbooks ● Mar. 30, 2016

Newton’s method of differentiation was based on a notational trick: he let the fluxions change, but he only let them change infinitesimally.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

Random Word

Spin the wheel and learn a new word!

---