Generalized quasilinearization versus Newton's method

Applied Mathematics and Computation

Volumn 164, Issue 2, 2005, Pages 523-530

  Lakshmikantham, V ^a   Vatsala, A S ^b  

^a Florida Institute of Technology ^*  (United States)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Generalized quasilinearization method; Newton's method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INITIAL VALUE PROBLEMS; INTEGRATION; ITERATIVE METHODS; MATHEMATICAL MODELS; SET THEORY; VECTORS;

GENERALIZED QUASILINEARIZATION METHOD; LINEAR DIFFERENTIAL INEQUALITY; NEWTON'S METHOD; SCALAR EQUATIONS;

PROBLEM SOLVING;

EID: 15544385943     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.077     Document Type: Conference Paper

References (6)

1. S. Koksal, and V. Lakhsmikantham Monotone Flows and Rapid Convergence of Nonlinear Partial Differential Equation 2003 Taylor and Francis England
2. G.S. Ladde, V. Lakshmikantham, and A.S. Vatsala Monotone Iterative Technique for Nonlinear Differential Equations 1985 Pitman Boston
3. V. Lakshmikantham, and A.S. Vatsala Generalized Quasilinearization for Nonlinear Problems 1998 Kluwer Academic Publishers Dordrecht
4. V. Lakshmikantham, and D. Trigiante Theory of Differential Equations Numerical Methods and Applications second ed. 2002 Marcel Dekker New York
5. J.M. Ortega, and W.C. Rheinboldt Iterative Solution of Nonlinear Equations in Several Variables 1970 Academic Press New York
6. H. Zhengda On Newton's method under holder continuous derivative J. Math. Anal. Appl. 270 2002 332 339