منابع مشابه
On the Solutions of Quadratic Diophantine Equations
We determine a finite set of representatives of the set of local solutions in a maximal lattice modulo the stabilizer of the lattice in question for a quadratic Diophantine equation. Our study is based on the works of Shimura on quadratic forms, especially [AQC] and [IQD]. Indeed, as an application of the result, we present a criterion (in both global and local cases) of the maximality of the l...
متن کاملRobust Solutions of Uncertain Quadratic and Conic-Quadratic Problems
Abstract. We consider a conic-quadratic (and in particular a quadratically constrained) optimization problem with uncertain data, known only to reside in some uncertainty set U . The robust counterpart of such a problem leads usually to an NP-hard semidefinite problem; this is the case, for example, when U is given as the intersection of ellipsoids or as an n-dimensional box. For these cases we...
متن کاملOn solutions of a quadratic integral equation of Hammerstein type
We study the solvability of a nonlinear quadratic integral equation of Hammerstein type. Using the technique of measures of noncompactness we prove that this equation has solutions on an unbounded interval. Moreover, we also obtain an asymptotic characterization of these solutions. Several special cases of this integral equation are discussed and applications to real world problems are indicate...
متن کاملRobust Solutions of Conic Quadratic Problems
I would like to thank Prof. Ben-Tal and Prof. Nemirovski for their guidance and quick response in every issue. Special thanks are attributed to Dr. Amir Beck for his help and constructive remarks. The listening ear and helping hand of the IE&M faculty academic staff, administrative staff and students are highly appreciated. And last but certainly not least, I am grateful for the support of my w...
متن کاملOn Schwarzschild-Like Solutions in Curvature-Quadratic Gravity
Partial results are obtained for Schwarzschild-like solutions in a gravity theory with action density c(−g)[R ik + bR ]. A seven parameter family of implicit solutions is found. A number of explicit solutions are also exhibited.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2006
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069443