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On a regular convex solver potential for an elastic-damage constitutive model: a theoretical analysis
(Elsevier B.V., 2004-04-01)
This work is related with the proposition of a so-called regular or convex solver potential to be used in numerical simulations involving a certain class of constitutive elastic-damage models. All the mathematical aspects ...
On a regular convex solver potential for an elastic-damage constitutive model: a theoretical analysis
(Elsevier B.V., 2004-04-01)
This work is related with the proposition of a so-called regular or convex solver potential to be used in numerical simulations involving a certain class of constitutive elastic-damage models. All the mathematical aspects ...
Convex Potentials and Optimal Shift Generated Oblique Duals in Shift Invariant Spaces
(Birkhauser Boston Inc, 2017-04)
We introduce extensions of the convex potentials for finite frames (e.g. the frame potential defined by Benedetto and Fickus) in the framework of Bessel sequences of integer translates of finite sequences in L2(Rk). We ...
Improving the tracking capability of adaptive filters via convex combination
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2008)
As is well known, Hessian-based adaptive filters (such as the recursive-least squares algorithm (RLS) for supervised adaptive filtering, or the Shalvi-Weinstein algorithm (SWA) for blind equalization) converge much faster ...
Frame completions with prescribed norms: local minimizers and applications
(Springer, 2017-04-12)
Let F0 = {fi}i∈In0 be a finite sequence of vectors in Cd and let a = (ai)i∈Ik be a finite sequence of positive numbers, where In = {1,...,n} for n ∈ N. We consider the completions of F0 of the form F = (F0, G) obtained by ...
Minimization of convex functionals over frame operators
(Springer, 2010-02)
We present results about minimization of convex functionals defined over a finite set of vectors in a finite-dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach ...