A modified secant method for semismooth equations

Applied Mathematics Letters

Volumn 16, Issue 6, 2003, Pages 877-881

  Amat, S ^a   Busquier, S ^a  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONFORMAL MAPPING; DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; ITERATIVE METHODS; THEOREM PROVING;

CONVERGENCE ANALYSIS; NEWTON METHOD; SECANT METHOD; SEMISMOOTH EQUATIONS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0141796642     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)90011-5     Document Type: Article

References (7)

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2. L. Qi and D. Sun, A nonsmooth version of Newton's method, Mathematical Programming 58, 353-368, (1993).
3. F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, (1983).
4. L. Qi, Convergence analysis of some algorithms for solving nonsmooth equations, Mathematics of Operations Research 18, 227-244, (1993).
5. J.S. Pang and L. Qi, Nonsmooth equations: Motivation and algorithms, SIAM Journal on Optimization 3, 443-465, (1993).
6. J.M. Ortega and W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, (1975).
7. F.A. Potra, On Q-order and R-order of convergence, Journal of Optimization Theory and Applications 63, 415-431, (1989).