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Mini-symposium on Generalised Inverses and Applications

Fredholm's method to solve a particular integral equation in 1903, was probably the first written work on generalized inverses. In 1906, Moore formulated the generalized inverse of a matrix in an algebraic setting, which was published in 1920, and in the thirties von Neumann used generalized inverses in his studies of continuous geometries and regular rings. Kaplansky and Penrose, in 1955, independently showed that the Moore "reciprocal inverse" could be represented by four equations, now known as Moore-Penrose equations. A big expansion of this area came in the fifties, when C.R. Rao and J. Chipman made use of the connection between generalized inverses, least squares and statistics. Generalized inverses, as we know them presently, cover a wide range of mathematical areas, such as matrix theory, operator theory, c*-algebras, semi-groups or rings. They appear in numerous applications that include areas such as linear estimation, differential and difference equations, Markov chains, graphics, cryptography, coding theory, incomplete data recovery and robotics. The aim of this mini-symposium, is to gather researchers involved in the study of generalized inverses and to encourage the exchange of ideas. 

http://www.dm.unipi.it/~ilas2010/castro-patricio.html
 
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