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 ...

Inexact Newton methods axe constructed by combining Newton's method with another iterative method that is used to solve the Newton equations inexactly. In this paper, we establish two semilocal ...

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 ...