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elements of ATA, is always adequate. While as Taussky shows [2j, the system ATAX = ATb is more ill-conditioned than AX = b, this ill condition reflects itself in a larger computing time but does not affect accuracy. The system has been applied with success at the Canadian Armament Research and Development Establishment on the ALWAC III machine. The circumstance was such that the routine for proper vectors was programmed prior to that for matrix inversion. It was originally meant as a stop-gap measure but has turned out to be a practical method of much merit. N. S. Mendelsohn

The computation of complex proper values and vectors of a real matrix with application to polynomials