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This paper delineates the underlying theory of an efficient method for solving a class of specially-structured linear complementarity problems of potentially very large size. Problems of the type considered here arise in the process of making discrete approximations to differential equations in...
A separation theorem, valid in infinite dimensional spaces, and involving the relative interior of the sets to be separated, will be extended to Fréchet spaces. This theorem will be elucidated by means of a few examples. The second separation theorem is a generalization of an existing separation...
In this paper, we study the optimal control of systems governed by an eigenvalue problem. We prove the existence of an optimal control and we obtain first order optimality conditions. We present also two numerical examples and we give the complete solution of both problems, involving...
One version of the infinite Farkas Lemma states the equivalence of two conditions, (1)y⋅b ⩾ 0 whenevery⋅a
⩾ 0 forj=1,2,.. and (2)b ∈ cl C, whereb and alla
andC is the convex cone spanned by all thea
's. In this paper an ascent vector specifies a direction along which an...
We present a formula for likelihood functionals for signals in which the corrupting noise is modelled as white noise rather than the usual Wiener process. The main difference is the appearance of an additional term corresponding to the conditional mean square error. By way of one application we...
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