This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, ...
up to 25% off books and ebooks plus free shipping. home books subjects mathematics convex analysis and variational problems convex analysis and variational problems 1st edition, volume 1 - january 1, 1976 imprint: elsevier science editors: ivar ekeland, roger temam language: english hardback isbn:...
In many applications in analysis it is the cone C which arises naturally, the choice of K - the intersection of C with a hyperplane H = {h = 1}-corresponding to a certain way of normalizing the elements of C, which is somewhat arbitrary. See the examples at the end of the chapter....
Frostig-Musco-Musco-Sidford, : PCRPrincipal Component Projection Without Principal Component AnalysisBy...
Convex sets and convex functions are studied in this chapter in the setting of n-dimensional Euclidean space ℝn. (However, if you are familiar with functional analysis, you will be able to generalize the main results to the case of infinite dimensional functional spaces.) These results play...
Ljung, Lennart. "Analysis of recursive stochastic algorithms."IEEE transactions on automatic control 2...
The concept of convex type function is introduced in this paper, from which a kind of convex-decomposition approach is proposed. As one of applications of this approach, the approximation of the convex type function by the partial sum of its Fourier series is investigated. Moreover, the order...
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The electroluminescent (EL) spectra of the devices were also obtained using a spectrometer (HR4000, Ocean Optics). The light-emitting area of the OLED on the lens substrate was estimated by a direct calculation with the image analysis software ImageJ (National Institutes of Health, USA)....
48 SPECTRAL ANALYSIS AND SYNTHESIS ON ABELIAN GROUPS-RESULTS AND APPLICATIONS 1:46:32 THE COMBINATORIAL NULLSTELLENSATZ AND SOME APPLICATIONS TO ADDITIVE COMBINATORIC 1:33:16 THE COMBINATORIAL NULLSTELLENSATZ APPLIED TO THE ERDŐS-FABER-LOVÁSZ CONJECTURE A 1:32:51 SUBCONVEXITY BOUND PROBLEM FOR GL(...