We consider iterative trust region algorithms for the unconstrained minimization of an objective function <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$F ( \underline{x})$</EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\underline{x}\in \mathcal{R}^{n}$</EquationSource> </InlineEquation>, when F is differentiable but no derivatives are available, and when each model of F is a linear or a quadratic polynomial. The...</equationsource></inlineequation></equationsource></inlineequation>

In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz-continuous Hessian, guarantees a global rate of convergence of order O(1/k exp.2), where k is the iteration counter. Our...

In this paper, we propose a second-order corrector interior-point algorithm for semidefinite programming (SDP). This algorithm is based on the wide neighborhood. The complexity bound is <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${O(\sqrt{n}L)}$$</EquationSource> </InlineEquation> for the Nesterov-Todd direction, which coincides with the best known complexity results...</equationsource></inlineequation>

In this paper, we have presented the second level nesting of Bonney's disposition model (Bonney, 1998) and examined the implications of higher level nesting of the disposition model in relation to the dimension of the parameter space. We have also compared the performance of the disposition...

In this paper, we propose a second-order corrector interior-point algorithm for semidefinite programming (SDP). This algorithm is based on the wide neighborhood. The complexity bound is $${O(\sqrt{n}L)}$$ for the Nesterov-Todd direction, which coincides with the best known complexity results for...

O'Hara G. (2005) A journey without maps: the regional policies of the 1964-70 British Labour Government, Regional Studies 39 , 1183-1195. This paper examines four influences on British regional policy in the late 1960s: party politics in the context of the economic environment; the structure of...

This work develops a bikeway network design model for cycling in urban areas. The objectives of the proposed model are to minimize cyclist risk, maximize cyclist comfort, maximize service coverage for residents, and minimize the impact of the bikeway on existing traffic. The proposed model...