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Primal-dual interior point methods and the HKM method in particular have been implemented in a number of software packages for semidefinite programming. These methods have performed well in practice on small to medium sized SDP's. However, primal-dual codes have had some trouble in solving larger problems because of the storage requirements and required computational effort. In this paper we describe a parallel implementation of the primal-dual method on a shared memory system. Computational results are presented, including the solution of some large scale problems with over 50,000 constraints.

The techniques of pulse radiolysis and emission spectroscopy have been used to determine absolute total emission yields for the XeBr* exciplex. By application of known formation and quenching rate constants and mechanisms, individual fluorescence yields have been determined for the unquenched three-body ionic recombination reaction, Xe 2 + + Br -+ Xe f XeBr* + 2Xe, G o + ) 3.40 ( 0.18, and for the reaction of electronically excited xenon atoms with CF 3 Br, Xe* + CF 3 Br f XeBr* + CF 3 , G o * ) 0.68 ( 0.10. These experimental yields are compared to the predictions of current theoretical models, which allow calculation of the efficiency for each ion-pair recombination event and excited state reaction to give the fluorescent XeBr* exciplex as 75% and 36%, respectively.

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