Convergence proofs for root-finding algorithms

Fixed point iteration is linearly convergent: Fixed Point

Bisection is linearly convergent: Bisection

Newton’s method is quadratically convergent:  Newton

Secant method convergence: Secant

The Lagrange Interpolating Polynomial

Generalized Rolle’s Theorem: GeneralRolle

Lagrange Error Formula: LagrangeError

The Trapezoidal Rule Error Formula

Second Mean Value Theorem for Integrals: SecondMVThIntegrals

Error Formula for the Trapezoidal Rule:TrapError

The CORDIC algorithm

How do calculators calculate? paper1

How do calculators calculate trigonometric functions? paper

The Implicit Function Theorem:  implicit


Cubic Equations: cubic