GEORGE MASON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
COLLOQUIUM
OCTOBER 6, 2017


Speaker: Florian Potra, UMBC

Title: A superquadratic variant of Newton's method

Abstract: We present the first Q-superquadratically convergent version of Newton's method for solving operator equations in Banach spaces that requires only one operator value and one inverse of the Fr\'{e}chet derivative per iteration. The R-order of convergence is at least 2.4142. A semi-local analysis provides sufficient conditions for existence of a solution and convergence. The local analysis assumes that a solution exists and shows that the method converges from any starting point belonging to an explicitly defined neighbourhood of the solution called the ball of attraction.

Time: Friday, October 6, 2017, 3:30-4:20 p.m.

Place: Exploratory Hall, room 4106

Refreshments will be served at 3:00 p.m.

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491