New recursive algorithm for solving linear algebraic equations

The authors present a new recursive algorithm for solving linear algebraic equations Ax=b. With this algorithm, the ith step recursion can find one solution of the first i equations; the unique solution of the total n equations could be found after the nth step recursion. Because of this recursive property, the algorithm can be used not only in solving ill-conditioned equations but also in recursive identification, signal processing and many other areas.