In this paper, we present a class of trust region algorithms for minimization problems within convex feasible regions, in which the structure of the problem is explicitly used in the deenition of the trust region. This development is intended to reeect the possibility that some parts of the problem may be more accurately modelled than others, a common occurrence in large-scale nonlinear applica...

This paper proposes a primal-dual interior-point filter method for nonlinear semidefinite programming, which is an extension of the work of Ulbrich et al. (Math. Prog., 100(2):379–410, 2004). We use a mixed norm to tackle with trust region constraints and global convergence to first-order critical points can be proved.

Massive events, as sportive events, involves a huge amount of spectators. Citizens that wish to attend buy a ticket that allows them to seat in a given zone of the stadium with several features, but usually they do not buy the physical seat at the sport ground. Then, one of the duties of the organizing committees is to allocate the different localities of the enclosure to the persons that have ...

A reason-based choice correspondence rationalizes choice behaviour in terms of a two-stage choice procedure. Given a feasible set S, the individual eliminates from it all of the dominated alternatives according to her …xed (not necessarily complete) strict preference relation, in the …rst step. In the second step, …rst she constructs for each maximal alternative identi…ed in the …rst step its l...

We develop methods for manipulation and 2 Measures of Importance display of multidimensional data objects. These ~ methods assist in the identification of precise Measures of inportance take a variety of forms in multisubregions of interest when the data objects dimensional data objects. Examples include edges, exare extremely large and complex. Our results extend previous work in scientific vi...

We present a new Adaptive Regularization by Cubics (ARC) algorithm, which we name ARCq and which is very close in spirit to trust region methods, closer than the original ARC is. We prove global convergence to second-order critical points. We also obtain as a corollary the convergence of the original ARC method. We prove the optimal complexity property for the ARCq and identify the key elements...

Repair of inguinal hernia is widely regarded as a simple procedure, requiring no great surgical skill. Published recurrence rates are high, indicating that there is need for improvement in technique. This paper gives details of a satisfactory method which uses local anaesthesia.

this work presents a hybrid method for motif discovery in dna sequences. the proposed method called spso-lk, borrows the concept of chebyshev polynomials and uses the stochastic local search to improve the performance of the basic pso algorithm as a motif finder. the chebyshev polynomial concept encourages us to use a linear combination of previously discovered velocities beyond that proposed b...