A Newton-Kantorovich theorem for equations involving m-Fréchet differentiable operators and applications in radiative transfer

Journal of Computational and Applied Mathematics

Volumn 131, Issue 1-2, 2001, Pages 149-159

  Argyros, Ioannis K ^a  

^a CAMERON UNIVERSITY   (United States)

Author keywords

Banach space; Lipschitz H lder continuity; M Fr chet differentiable operator; Majorizing sequence; Multilinear operators; Newton's method

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; HEAT RADIATION; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; THEOREM PROVING;

BANACH SPACE; NEWTON-KANTOROVICH THEOREM;

NONLINEAR EQUATIONS;

MATHEMATICAL ANALYSIS; RADIATION;

EID: 0035360821     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00317-4     Document Type: Article

References (9)

1. On the convergence of some nonlinear equations
2. A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
3. Riemann integration and Taylor's theorem in general analysis
4. A new semilocal convergence theorem for Newton's method
5. A note on the Kantorovich theorem for Newton iteration