Interative method for large dense (sparse) linerar equat & eigen probs

[Peter Zitnan <comczitn - at - savba.sk>]

           Dear colleagues,
                            Recently I have developed a new iterative method
   for solving large dense (sparse) systems of linear equations and matrix
   eigenvalue problems resulting from the spectral solution of differential
   equations. The corresponding algorithm solves a dense system of linear
   equations of order m*n as a few partial systems of order n+m-1 and, con-
   sequently, for n >> m this algorithm needs m*m times less main computer
   memory than using a classical direct solver storing whole matrix of order
   m*n. The computational behaviour of this algorithm is examined by solving
   dense systems of linear equations up to the order 40000.
   If this method is of interest for you, let me know. I will send you the
   PostScript files of the corresponding articles by return of E-mail.
                With best regards,
                                    Dr. Peter Zitnan
                                    Computing Centre
                                    Slovak Academy of Sciences
                                    Dubravska cesta 9
                                    842 35 Bratislava
                                    SLOVAKIA
                                    //////////////////////////
                                    zitnan - at - savba.sk