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SIAMJO
2000
76views more  SIAMJO 2000»
13 years 9 months ago
Superlinear Convergence and Implicit Filtering
In this note we show how the implicit filtering algorithm can be coupled with the BFGS quasi-Newton update to obtain a superlinearly convergent iteration if the noise in the object...
T. D. Choi, C. T. Kelley
SIAMJO
2000
113views more  SIAMJO 2000»
13 years 9 months ago
Cones of Matrices and Successive Convex Relaxations of Nonconvex Sets
Let F be a compact subset of the n-dimensional Euclidean space Rn represented by (finitely or infinitely many) quadratic inequalities. We propose two methods, one based on successi...
Masakazu Kojima, Levent Tunçel
SIAMJO
2000
105views more  SIAMJO 2000»
13 years 9 months ago
On the Identification of Zero Variables in an Interior-Point Framework
Abstract. We consider column sufficient linear complementarity problems and study the problem of identifying those variables that are zero at a solution. To this end we propose a n...
Francisco Facchinei, Andreas Fischer, Christian Ka...
SIAMJO
2000
67views more  SIAMJO 2000»
13 years 9 months ago
Gradient Convergence in Gradient methods with Errors
We consider the gradient method xt+1 = xt + t(st + wt), where st is a descent direction of a function f : n and wt is a deterministic or stochastic error. We assume that f is Lip...
Dimitri P. Bertsekas, John N. Tsitsiklis
SIAMJO
2002
96views more  SIAMJO 2002»
13 years 9 months ago
Lagrangian Dual Interior-Point Methods for Semidefinite Programs
This paper proposes a new predictor-corrector interior-point method for a class of semidefinite programs, which numerically traces the central trajectory in a space of Lagrange mul...
Mituhiro Fukuda, Masakazu Kojima, Masayuki Shida