The authors Utilize Gram-Schmidt s orthogonalization to put forward a parallel method of judging the consistency of arbitrary system of linear algebraic equations and determinging the general solution of arbitraty consistent system of linear algebraic equations,analyze its computational complexity,numerical stability,and its intrinsic parallism.

The inner parallelism of different algorithms of matrix inversion is reviewed firstly,the implementation of SMI method based on single DSP is proposed based on the on-chip parallel technique,the numerical stability of the proposed method is also given,and experiments with the data measured verify the validity of the proposed method.