c-grasp

Solving systems of nonlinear equations with continuous GRASP

  • Michael J. Hirsch
  • Panos M. Pardalos
  • Mauricio G.C. Resende
    • Categories Global Optimization, Meta Heuristics, Stochastic Approaches Tags , , , , , , , ,

    A method for finding all roots of a system of nonlinear equations is described. Our method makes use of C-GRASP, a recently proposed continuous global optimization heuristic. Given a nonlinear system, we solve a corresponding adaptively modified global optimization problem multiple times, each time using C-GRASP, with areas of repulsion around roots that have already … Read more

    A continuous GRASP to determine the relationship between drugs and adverse reactions

  • Michael J. Hirsch
  • Claudio N. Meneses
  • Panos M. Pardalos
  • Mauricio G.C. Resende
  • M. A. Ragle
    • Categories Biomedical Applications, Meta Heuristics, Stochastic Approaches Tags , , , , , , ,

    Adverse drug reactions (ADRs) are estimated to be one of the leading causes of death. Many national and international agencies have set up databases of ADR reports for the express purpose of determining the relationship between drugs and adverse reactions that they cause. We formulate the drug-reaction relationship problem as a continuous optimization problem and … Read more