Abstract:

A Real-time Householder transformation algorithm for solving linear overdetermined equations is proposed. The algorithm is more accurate than the Traditional Recursive Least Squares Algorithm （TRLSA）because the ill-condition is worsened by TRLSA. Another benefit of our algorithm is that its computational time is just about 2/n of TRLSA where n is the number of theunknown parameters.

Key words: real-time recursive algorithms over-determined equa- tions, householder transformation