Electronic Resource
Springer
Mathematical programming
48 (1990), S. 41-70
ISSN:
1436-4646
Keywords:
45D15
;
65H10
;
Quasi-Newton methods
;
interpolation
;
boundary value problems
;
integral equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract We consider the effect of approximation on performance of quasi-Newton methods for infinite dimensional problems. In particular we study methods in which the approximation is refined at each iterate. We show how the local convergence behavior of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are considered.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01582251
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