In this paper, we study a nonconvex quadratic minimization problem with two constraints, one of which being convex. We introduce convex relaxations (CQRs) and discuss cases, where the is equivalent to exactly CQRs. Particularly, show that global optimal solution can be recovered from an Through equivalence, new conditions under enjoys strong Lagrangian duality, generalizing recent condition in ...

Recent technological advances enable radiation therapy to be delivered in a highly conformal manner to targets located almost anywhere in the body. This capability has renewed the clinical interest in hypofractionation wherein the tumor is delivered a few fractions of very large dose per fraction. Extrapolating clinical experience from conventional regimens to fractions of high dose is importan...

We find that the minimum distance of the binary [137; 69] quadratic residue code is 21.

Wedescribe a polynomial-size conic quadratic reformulation for amachine-job assignment problemwith separable convex cost. Because the conic strengthening is based only on the objective of the problem, it can also be applied to other problems with similar cost functions. Computational results demonstrate the effectiveness of the conic reformulation. © 2009 Elsevier B.V. All rights reserved.

The relationship between species richness (SR) and aboveground net primary productivity (ANPP) is still a central and debated issue in community ecology. Previous studies have often emphasized the relationship of alpha diversity (number of species identity) to the mean ANPP with respect to the SR-ANPP relationship while neglecting the contribution of beta diversity (dissimilarity in species com...