Please view the posters presented at the 19th Annual City Tech Faculty and Student Research Poster Session below. You can click on each poster to enlarge it and view the PDF version under the poster abstract.

We thank all presenters for sharing their innovative and informative research with the City Tech community and beyond!

35-A Conjugate Directions- Type Procedure for Quadratic Multiobjective Optimization

Image 33 of 44

We propose an extension of the real-valued conjugate directions method for unconstrained quadratic multiobjective problems. As in the single-valued counterpart, the procedure requires a set of directions that are simultaneously conjugate with respect to the positive definite matrices of all quadratic objective components. Likewise, the multicriteria version computes the step length by means of the unconstrained minimization of a single-variable strongly convex function at each iteration. When it is implemented with a weakly-increasing (strongly-increasing) auxiliary function, the scheme produces weak Pareto (Pareto) optima over infinitely many iterations. View or download a PDF version of this poster.