We propose new versions of accelerated first order methods for convex composite optimization, where the prox parameter is allowed to increase from one iteration to the next. In particular we show that a full backtracking strategy can be used within the FISTA [1] and FALM algorithms [7] while preserving their worst-case iteration complexities of O( √ L(f)/ ). In the original versions of FISTA an...

In this paper, we introduce and consider the concept of the prox-regularity of a multifunction. We mainly study the metric subregularity of a generalized equation defined by a proximal closed multifunction between two Hilbert spaces. Using proximal analysis techniques, we provide sufficient and/or necessary conditions for such a generalized equation to have the metric subregularity in Hilbert s...

Please cite this article in press as: Abakarov, A., (2012), doi:10.1016/j.jfoodeng.2012.02.013 The algorithms and graphic user interface software package ‘‘OPT-PROx’’ are developed to meet food engineering needs related to canned food thermal processing simulation and optimization. The adaptive random search algorithm and its modification coupled with penalty function’s approach, and the finite...

Important properties such as differentiability and convexity of symmetric functions in Rn can be transferred to the corresponding spectral functions and vice-versa. Continuing to built on this line of research, we hereby prove that a spectral function F : Sn → R ∪ {+∞} is prox-regular if and only if the underlying symmetric function f : Rn → R ∪ {+∞} is prox-regular. Relevant properties of symm...

This paper is devoted to weaken “classical” assumptions and give new arguments to prove existence of sweeping process (associated to the proximal normal cone of sets). Mainly we define the concept of a “directional prox-regularity” and give assumptions about a Banach space to insure the existence of such sweeping process (which permit to generalize the existing results requiring a Hilbertian st...

Distal revascularization-interval ligation (DRIL) empirically corrects steal after arteriovenous fistula (AVF) creation in most cases, but because there is no topologic alteration in anatomy, it is unclear as to why it is effective. To explore this issue, nine symptomatic patients underwent intravascular pressure and flow measurements before and after DRIL following upper arm autologous AVFs. M...

The Fra ser In sti tute’s An nual Sur vey of Min ing Com pa nies 2005/2006 rec og nized Brit ish Co lum bia as hav ing the top-ranked geo log i cal da ta base in the world. More than 300 min ing, ex plo ra tion and con sult ing com pa nies re sponded and rated BC’s at trac tive ness for in vest ment in min eral ex plo ra tion and mine de vel op ment. In 2005, these min ing com pa nies in vested...