Simon Fraser University

Newton's Method:

Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...
JSTOR Daily

Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method

The l₂ normalized inverse, shifted inverse, and Rayleigh quotient iterations are classic algorithms for approximating an eigenvector of a symmetric matrix. This work establishes rigorously that each ...
Scientific Research Publishing

T. Zhanlav and I. V. Puzynin, “The Convergence of Iterations Based on a Continuous Analogy Newton’s Method,” Journal of Computational Mathematics and Mathematical Physics ...

ABSTRACT: We propose a continuous analogy of Newton’s method with inner iteration for solving a system of linear algebraic equations. Implementation of inner iterations is carried out in two ways. The ...
GitHub

SisyphusRex/yield-to-maturity

Years ago, in a Finance class, I came upon the Yield to Maturity formula for a bond. I could solve for all variables using algebra except one: interest (r). After progressing in my mathematics regimen ...
Scientific Research Publishing

T. Zhanlav and O. Chuluunbaatar, “The Local and Global Convergence of the Continuous Analogy of Newton’s Method,” Bulletin of PFUR, Series Mathematics, Information ...

ABSTRACT: We propose a continuous analogy of Newton’s method with inner iteration for solving a system of linear algebraic equations. Implementation of inner iterations is carried out in two ways. The ...