Multiplying A1 by -A2/A1 gives -A2, which cancels out the value in the first column of row 2. The program makes similar substitutions to zero out the first element in the other rows. Next the program uses row 2 to zero out the second column in rows 3 and later. It continues in this way until it can no longer zero out rows. The design of parallel algorithms and architectures for solving linear systems using two-step division-free Gaussian elimination method is considered. The two-step method circumvents the ordinary single-step division-free method by its greater numerical stability. In spite of the rather complicated computations needed at each iteration of the two-step method, we develop first an innovative ...

formalized and programmed for the computer is Gauss Elimination Method. The procedure consists of two major steps which are 1. Forward Elimination – the equations are manipulated to eliminate the unknowns from the equations until we have one equation with one unknown. 2. Back substitution – The equation with one unknown can be solved directly. The

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