Explicit Solutions for Root Optimization of a Polynomial Family With One Affine Constraint
Explicit Solutions for Root Optimization of a Polynomial Family With One Affine Constraint
Given a family of real or complex monic polynomials of fixed degree with one affine constraint on their coefficients, consider the problem of minimizing the root radius (largest modulus of the roots) or root abscissa (largest real part of the roots). We give constructive methods for efficiently computing the globally …