The continuous Newton-Raphson method can look ahead

SIAM Journal on Optimization

Volumn 15, Issue 3, 2005, Pages 915-925

  Hauser, Raphael ^a   Nedić, Jelena ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Continuous Newton method; Newton flow; Newton Raphson method; Qualitative analysis

Indexed keywords

BOUNDARY CONDITIONS; DYNAMICS; FUNCTIONS; LINEAR PROGRAMMING; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

CONTINUOUS NEWTON METHOD; NETWON FLOW; NEWTON-RAPHSON METHOD; QUALITATIVE ANALYSIS;

NEWTONIAN FLOW;

EID: 23844497773     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623403432633     Document Type: Article

References (9)

1. K. ANSTREICHER, Linear programming and the Newton-barrier flow, Math. Programming, 41 (1988), pp. 367-373.
2. J. M. BALL, Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations, Nonlinear Sci., 7 (1997), pp. 475-502.
3. J. M. BORWEIN AND A. S. LEWIS, Convex Analysis and Nonlinear Optimization: Theory and Examples, Springer, New York, 2000.
4. F. H. BRANIN, A widely convergent method for finding multiple solutions of simultaeneous non-linear equations, IBM J. Res. Develop., 16 (1972), pp. 504-522.
5. V. JANOVSKÝ AND V. SEIGE, Qualitative analysis of Newton's flow, SIAM J. Numer. Anal., 33, (1996), pp. 2068-2097.
6. H. TH. JONGEN, P. JONKER, AND F. TWILT, The continuous desingularized Newton method for meromorphic functions, Acta Appl. Math., 13 (1988), pp. 81-121.
7. J. W. NEUBERGER, Continuous Newton's method for polynomials, Math. Intelligencer, 21 (1999), pp. 18-23.
8. J. W. NEUBERGER, Sobolev Gradients and Differential Equations, Lecture Notes in Math. 1670, Springer-Verlag, New York, 1997.
9. S. SMALE, A convergence process in price adjustment and global Newton methods, J. Math. Econ., 3 (1976), pp. 107-120.