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