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Error-free computer solution of certain systems of linear equations
1987
Journal of Computational and Applied Mathematics
In this article we propose a procedure which generates the exact solution for the system Ax = b, where A is an integral nonsingular matrix and b is an integral vector, by improving the initial floating-point approximation to the solution. This procedure, based on an easily programmed method proposed by Aberth [l], first computes the approximate floating-point solution x * by using an available linear equation solving algorithm. Then it extracts the exact solution x from x* if the error in the
doi:10.1016/0377-0427(87)90002-1
fatcat:c2236bfa75dtzfayf2ltkobuku