Further insight into the Shamanskii modification of Newton method

Applied Mathematics and Computation

Volumn 180, Issue 1, 2006, Pages 46-52

  Wang, Chang yu ^a   Chen, Yuan yuan ^b   Du, Shou qiang ^b  

^a QUFU NORMAL UNIVERSITY   (China)

^b QINGDAO UNIVERSITY   (China)

Author keywords

Global and superlinear convergence; Shamanskii method; Unconstrained optimization

Indexed keywords

ITERATIVE METHODS; LINEAR EQUATIONS; THEOREM PROVING;

GLOBAL AND SUPERLINEAR CONVERGENCE; SHAMANSKII METHOD; UNCONSTRAINED OPTIMIZATION;

NUMERICAL METHODS;

EID: 33748299118     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.11.167     Document Type: Article

References (7)

1. Shamanskii V.E. On a modification of Newton's method. Ukrainskyi Matematychnyi Zhurnal 19 (1967) 133-138 (in Russian)
2. Gill P.E., and Murray W. Newton-type methods for unconstrained and linearly constrained optimization. Mathematical Programming 7 (1974) 311-350
3. Hammerlin G., and Hoffmann K.H. Numerische Mathematik (1989), Springer-Verlag, New York
4. Kelley C.Y. Iterative Methods for Optimization (1999), SIAM, Philadelphia, PA
5. Ortega J.M., and Rheinboldt W.C. Iterative Solution of Nonlinear Equations in Several Variables (1970), Academic Press, New York, NY
6. Bertsekas D.P. Constrained Optimization and Lagrange Multiplier Methods (1980), Academic Press, New York, NY
7. Lamparillo F., and Sciandrone M. Global convergence technique for the Newton method with periodic Hessian evaluation. Journal of Optimization Theory and Applications 111 2 (2001) 341-358