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The cross-fertilization between numerical linear algebra and reallife world has been very fruitful and continuosly incresing in number and strength in the last decades. In particular, applications have been making increasingly sophisticated use of linear algebra on both theoretical and algorithmic fronts. The interaction between them has been growing, leading to many new algorithms. My attention in these years was and is concentrated on the approximations of large and sparse linear systems mainly generated by accurate discretization of partial differential equations and in these years many advances have been established.
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