978 resultados para Introductory computer programming
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This working paper was originally printed in the Working Paper Series of the MIT International Motor Vehicle Program
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We study four measures of problem instance behavior that might account for the observed differences in interior-point method (IPM) iterations when these methods are used to solve semidefinite programming (SDP) problem instances: (i) an aggregate geometry measure related to the primal and dual feasible regions (aspect ratios) and norms of the optimal solutions, (ii) the (Renegar-) condition measure C(d) of the data instance, (iii) a measure of the near-absence of strict complementarity of the optimal solution, and (iv) the level of degeneracy of the optimal solution. We compute these measures for the SDPLIB suite problem instances and measure the correlation between these measures and IPM iteration counts (solved using the software SDPT3) when the measures have finite values. Our conclusions are roughly as follows: the aggregate geometry measure is highly correlated with IPM iterations (CORR = 0.896), and is a very good predictor of IPM iterations, particularly for problem instances with solutions of small norm and aspect ratio. The condition measure C(d) is also correlated with IPM iterations, but less so than the aggregate geometry measure (CORR = 0.630). The near-absence of strict complementarity is weakly correlated with IPM iterations (CORR = 0.423). The level of degeneracy of the optimal solution is essentially uncorrelated with IPM iterations.
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En aquest projecte es vol implementar una llibreria en Java, que proporcioni les eines necessàries per a crear diagrames i esquemes. Es vol proporcionar a la llibreria un conjunt d’objectes bàsics, també mètodes i funcionalitats suficients per a gestionar aquests objectes. Per altra part, es vol implementar una aplicació per a dissenyar diagrames Entitat-Relació que utilitzi aquesta llibreria