The article is devoted to the determination of second-order perturbations in rectangular coordinates and components body motion be under study. main difficulty solving this problem was choice a system differential equations perturbed motion, coefficients projections perturbing acceleration are entire functions with respect independent regularizing variable. This circumstance allows constructing...

We consider the problem of finding a low–rank approximate solution to a system of linear equations in symmetric, positive semidefinite matrices, where the approximation quality of a solution is measured by its maximum relative deviation, both above and below, from the prescribed quantities. We show that a simple randomized polynomial– time procedure produces a low–rank solution that has provabl...