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Concurrent iterative algorithm for Toeplitz-like linear systems

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1 Author(s)
Pan, V.Y. ; Dept. of Math. & Comput. Sci., City Univ. of New York, Bronx, NY, USA

A nonsingular n×n matrix A is given with its short displacement generator. It has small displacement rank bounded by a fixed constant. The class of such matrices generalizes Toeplitz matrices. A good initial approximation to a short displacement generator for A-1 is readily available. Ways to refine this approximation and numerically compute a displacement generator of A-1 and the solution vector x= A-1b to a linear system Ax=b by using O(log2n) parallel arithmetic steps and n processors are presented. These results are extended to some other important classes of dense structure matrices

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:4 ,  Issue: 5 )