On the Algorithms Invariant to Polynomial-Type Scaling

This paper discusses the algorithms invariant to nonlinear scaling for more general objective function model(3). The case of algorithms was studied in 2 when F(q) is a quadratic function. Here we study a more general problem - approximation F(q) with high-order polynomial and with piecewise low-order polynomial. The analytic formulas of ρ_K for both cases are derived and the corresponding algorithms are established.