A relaxed constant positive linear dependence constraint qualification and applications

In this work we introduce a relaxed version of the constant positive linear dependence constraint qualification (CPLD) that we call RCPLD. This development is inspired by a recent generalization of the constant rank constraint qualification by Minchenko and Stakhovski that was called RCRCQ. We show that RCPLD is enough to ensure the convergence of an augmented Lagrangian algorithm and that it asserts the validity of an error bound. We also provide proofs and counter-examples that show the relations of RCRCQ and RCPLD with other known constraint qualifications. In particular, RCPLD is strictly weaker than CPLD and RCRCQ, while still stronger than Abadie's constraint qualification. We also verify that the second order necessary optimality condition holds under RCRCQ.

Criteria for the request of preoperative tests among oral and maxillofacial surgeons

Objective: The aim of this study was to analyze the criteria employed for the requesting of preoperative tests among maxillofacial surgeons. Materials and methods: Thirty maxillofacial surgeons working in Aracaju (Brazil) received a questionnaire to fill out. The study inquired about the practice of requesting preoperative tests for healthy patients scheduled to undergo elective surgery. Results: Most of the surgeons interviewed requested tests that are not recommended for the case in question. The highest frequency of requests was a complete blood count, coagulation test, blood glucose test and chest radiograph. Conclusion: The absence of strict rules for the requesting of preoperative tests causes uncertainty and a lack of criteria regarding pre-surgical conduct. It was not possible to clearly define the criteria used by surgeons for requesting such tests, as the clinical characteristics of the hypothetical case presented suggest a smaller number of tests. (C) 2011 European Association for Cranio-Maxillo-Facial Surgery.