Creator | Title | Description | Subject | Date | ||
---|---|---|---|---|---|---|
1 |
![]() | Sikorski, Kris | A note on optimal algorithms for fixed points | We present a constructive lemma that we believe will make possible the design of nearly optimal 0(dlog | ) cost algorithms for computing eresidual approximations to the fixed points of d-dimensional nonexpansive mappings with respect to the infinity norm. This lemma is a generalization of a two-... | Fixed points; Constructive lemma | 2009 |
2 |
![]() | Sikorski, Kris | An interior ellipsoid algorithm for fixed points | We consider the problem of approximating fixed points of non-smooth contractive functions with using of the absolute error criterion. In [12] we proved that the upper bound on the number of function evaluations to compute ?-approximations is 0(n3(In 1/? + In 1/1-q +In n)) in the worst case, where ... | Ellipsoid algorithm; Contractive functions; Fixed points | 1998 |