Finding a Global Optimal Solution for a Quadratically Constrained Fractional Quadratic Problem with Applications to the Regularized Total Least Squares

We consider the problem of minimizing a fractional quadratic problem involving the ratio of two indefinite quadratic functions, subject to a two sided quadratic form constraint. This formulation is motivated by the so-called Regularized Total Least Squares problem (RTLS). A key difficulty with this problem is its nonconvexity, and all current known methods… (More)