A globally convergent ball Stirling method

Authors:
Rabindranath Sen;Pulak Guhathakurta
Affiliations:
Department of Applied Mathematics, University College of Science and Technology, Calcutta University, 92 A.P.C. Road, Calcutta 700 009, India;Department of Applied Mathematics, University College of Science and Technology, Calcutta University, 92 A.P.C. Road, Calcutta 700 009, India and Meteorologist, Regional Met Centre, Pune, India
Venue:
Applied Numerical Mathematics
Year:
2004

Citing 2
Cited 0

A computational ball test for the existence of solutions to nonlinear operator equations

SIAM Journal on Numerical Analysis
Iterative solution of nonlinear equations in several variables

Iterative solution of nonlinear equations in several variables

Quantified Score

Hi-index	0.00

Visualization

Abstract

A STIRLING method for the solution of a system of equations can be viewed as a combination of the method of successive substitution and Newton method. In [Acqu. Math. 12 (1975) 12], the author established the convergence of Stirling method in Banach spaces. In contrast to the point Newton method, the ball Newton method, developed in [SIAM J. Numer. Anal. 18 (1981) 988] and further modified in [Soochow J. Math. 19 (1993) 199], generates a sequence of n-dimensional balls of diminishing radii with the property that each ball contains the root of the operator in question rather than a new approximating point. This paper establishes the ball Stirling method in analogy with ball Newton method, as an effective tool for solving various equations.