This paper introduces the paradigm of optimization under uncertainty for modelling and solving matrix nearness problems. In particular, it considers the concrete problem of recovering correlation matrices from uncertain observations by introducing two different approaches to tackling uncertainty. The first approach invokes the framework of robust optimization to construct low error solutions th...

The story of the creation of man and woman in the Qur’an differs infundamental ways from the story of creation in the Bible. The Qur’an explainsthat, contiguous with the creation of Adam, was the creation of his mate from thesame material and essence. These two, Adam and Eve, hold equal positions as Allah’skhalafah(vicegerent) on earth. This article discusses the Kiramat(generosity)of women in ...

In this paper we present a new approach towards global passive approximation in order to find a passive real-rational transfer function G(s) that is an arbitrarily close approximation of the passive transfer function nearest to a non-passive square transfer function H(s). It is based on existing solutions to pertinent matrix nearness problems. It is shown that the key point in constructing the ...

&bstract. The notions of a situation and a distance between situations in a narrow subject domain are introduced. ~ approach to the construction of an intellectual data base is suggested. The main task.of this data base is to find situations ~lhich are near to the one fixed by user. The theory of finite groups is considered as an example° I INTRODUCTION No~ information retrieval systems and esp...

We first prove the equivalence between some conditions of nearness and accretivity for nonlinear operators. Then we show an easier proof of a result of Tarsia regarding the equivalence of Cordes and Campanato conditions. 2000 Mathematics Subject Classification: 35H20, 46B20, 47H06.