Semilocal convergence for Super-Halley’s method under $$\omega $$ ω -differentiability condition

2014 ◽  
Vol 32 (1) ◽  
pp. 77-94 ◽  
Author(s):  
Maroju Prashanth ◽  
D. K. Gupta
Keyword(s):  
Semilocal Convergence ◽  
Halley’S Method ◽  
Differentiability Condition ◽  
Halley's Method

Semilocal convergence for the Super-Halley’s method

2014 ◽  
Vol 7 (1) ◽  
pp. 70-84 ◽  
Author(s):  
M. Prashanth ◽  
D. K. Gupta ◽  
S. Singh
Keyword(s):  
Semilocal Convergence ◽  
Halley’S Method ◽  
Halley's Method

On the convergence of Halley’s method for simultaneous computation of polynomial zeros

2015 ◽  
Vol 23 (4) ◽  
Author(s):  
Petko D. Proinov ◽  
Stoil I. Ivanov
Keyword(s):  
Convergence Theorem ◽  
Local Convergence ◽  
Semilocal Convergence ◽  
Polynomial Zeros ◽  
Convergence Theorems ◽  
Halley’S Method ◽  
Halley's Method ◽  
Semilocal Convergence Theorem

AbstractIn this paper we study the convergence of Halley’s method as a method for finding all zeros of a polynomial simultaneously. We present two types of local convergence theorems as well as a semilocal convergence theorem for Halley’s method for simultaneous computation of polynomial zeros.

On the Geometry of Halley's Method

1995 ◽  
Vol 102 (5) ◽  
pp. 417-426 ◽  
Author(s):  
T. R. Scavo ◽  
J. B. Thoo
Keyword(s):  
Halley’S Method ◽  
Halley's Method

Use of Halley's Method in the Nonlinear Finite Element Analysis

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 569-570
Author(s):  
Carolin Plate ◽  
Panayiotis Papadopoulos ◽  
Ralf Müller
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Nonlinear Finite Element Analysis ◽  
Nonlinear Finite Element ◽  
Element Analysis ◽  
Halley’S Method ◽  
Halley's Method
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