146,854 research outputs found
Semidefinite relaxations for semi-infinite polynomial programming
This paper studies how to solve semi-infinite polynomial programming (SIPP)
problems by semidefinite relaxation method. We first introduce two SDP
relaxation methods for solving polynomial optimization problems with finitely
many constraints. Then we propose an exchange algorithm with SDP relaxations to
solve SIPP problems with compact index set. At last, we extend the proposed
method to SIPP problems with noncompact index set via homogenization. Numerical
results show that the algorithm is efficient in practice.Comment: 23 pages, 4 figure
Non-spectator Contributions To The Lifetime of
In this work, we evaluate the contributions of non-spectator effects to the
lifetimes of and B-mesons. Based on the well-established models and
within a reasonable range of the concerned parameters, the contributions can
reduce the lifetime of by compared to that of B-mesons
which are not significantly affected. This might partly explain the measured
ratio \cite{Data}, which has been a
long-standing discrepancy between theory and experimental data
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