In this paper some of the numerical problems associated with computing the generalized inverse of a matrix are discussed and illustrated by a detailed analysis of an iteration of Ben-Israel and Cohen.

Domain decomposition methods are powerful numerical techniques used to solve partial differential equations (PDEs) by breaking down a large problem into smaller, more manageable subproblems.

More to the point, the approximation schemes to solve non-linear BVPs can be found in different sources of numerical analysis [6, 7]. In Agarwal [8], Agarwal discussed the existence of unique solution ...

This paper is concerned with numerical methods for a class of two-dimensional quasilinear elliptic boundary value problems. A compact finite difference method with a nonisotropic mesh is proposed for ...

In this communication we apply certain continuous analog iterative methods to two sample boundary-value problems. We show that the Euler-Newton and the second-order continuation of the Newton method ...

A numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method in a programming language is called a numerical algorithm. This chapter ...

Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis ...

Contact: [email protected] Topics: Advanced introduction to numerical linear algebra and related numerical methods. Topics include direct and iterative methods for linear systems, eigenvalue ...

We introduce some iterative methods for solving the linear system A x = b in this chapter. Why do we need iterative methods? Reduce the cost of direct methods: O ( m 3 ) → O ( m 2 ) → sometimes O ( m ...