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Deformation of involution and multiplication in a C*-algebra

H. Najafi;  M. S. Moslehian — 2013

Studia Mathematica

We investigate the deformations of involution and multiplication in a unital C*-algebra when its norm is fixed. Our main result is to present all multiplications and involutions on a given C*-algebra 𝓐 under which 𝓐 is still a C*-algebra when we keep the norm unchanged. For each invertible element a ∈ 𝓐 we also introduce an involution and a multiplication making 𝓐 into a C*-algebra in which a becomes a positive element. Further, we give a necessary and sufficient condition for the center of...

Iterative methods with analytical preconditioning technique to linear complementarity problems: application to obstacle problems

H. Saberi Najafi;  S. A. Edalatpanah — 2013

RAIRO - Operations Research - Recherche Opérationnelle

For solving linear complementarity problems more attention has recently been paid on a class of iterative methods called the matrix-splitting. But up to now, no paper has discussed the effect of preconditioning technique for matrix-splitting methods in . So, this paper is planning to fill in this gap and we use a class of preconditioners with generalized Accelerated Overrelaxation () methods and analyze the convergence of these methods for . Furthermore, Comparison between our methods and other...

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