WebTHE MAJORIZATION FUNCTION 141 isomorphic to a space of vectorspace-valued analytic functions, where the dimension of the vectorspace equals ind.A4 (see Theorem … Webin Mittelbach used majorization for functions to show that the average rate with perfectly informed receiver is largest for uncorrelated scattering if the transmitter is uninformed …

Majorization by starlike functions of complex order

WebThe first alternative loss function is based on the absolute values of r. Loss functions based on this so called Lj-norm already have a long tradition in robust estimation. The … WebA second approach uses a log-exponential smoothing approximation of the max distance function, coupled with distance majorization and Nesterov acceleration. Two original algorithms are presented: The first method expands the sets and finds their smallest non-empty intersection, in which the optimal solution is proven to lie. property dd5

Sensors Free Full-Text Majorization-Minimization Method for ...

WebMany examples of Schur convex functions can of course be found in the literature. Perhaps the sim-plest example is what is called a separable convex function. It is of the form g(x)= Xn i=1 h(xi), where h is a convex function. We now begin our tour of examples in the liter-ature in which majorization makes cameo and/or starring appearances. Webrestrictions. Mudholkar (1966) generalized majorization via its convex hull characteri-zation to weak forms of symmetry. Hwang (1979) generalized the classical concept of … WebThe function ϕ(t) = log(1 +t/ε), for t ≥0, is concave and is majorized at t = t0 by its linearization: ϕ(t) ≤ϕ(t0)+ϕ(t0)′(t −t0) = ϕ(t0)+ 1 ε+t0 (t −t0) Thus, the function ϕ( xi ) is … property days on market