1,721,076 research outputs found
Il dualismo discreto continuo nella storia delle teorie matematiche della guerra
No full textAtti del V congresso Nazionale di Storia della Fisica (a cura di S. D'Agostino, S. Petruccioli
Computational issues in high performance software for nonlinear optimization
No full textComputational Issues in High Performance Software for Nonlinear Research brings together in one place important contributions and up-to-date research results in this important area.
Computational Issues in High Performance Software for Nonlinear Research serves as an excellent reference, providing insight into some of the most important research issues in the field
On the solution of quadratic programming problems with bound constraints
No full textAn algorithm is proposed that uses the conjugate gradient method to explore the
face of the feasible region defined by the current iterate, and the gradient projection method to move
to a different face. It is proved that for strictly convex problems the algorithm converges to the
solution, and that if the solution is nondegenerate, then the algorithm terminates at the solution in
a finite number of steps. Numerical results are presented for the obstacle problem, the elastic-plastic
torsion problem, and the journal bearing problems. On a selection of these problems with dimensions
ranging from 5000 to 15,000, the algorithm determines the solution in fewer than 15 iterations, and
with a small number of function-gradient evaluations and Hessian-vector products per iteration
The effect of diagonal scaling on projected gradient methods for bound constrained quadratic programming problems
No full textWe examine the e®ect of diagonal scaling on the projected gradient
method of More' and Toraldo [SIAM J. Optimization 1, (1991), pp.93-
114] when the constraints are bound constraints and the quadratic form
is positive de ̄nite. It is shown that scaling causes the method to visit
fewer faces and to minimize the function more quickly. Numerical results
are given with the journal bearing proble
Computational Management Science Conference (CMS) and Workshop on Computational Econometrics and Statistics
No full textThe effect of diagonal scaling on projected gradient methods for bound constrained quadratic programming problems
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