A Sufficient and Necessary Condition for the Solvability of General Total Least Squares Problem

LUO Wuan

(School of Mathematical Sciences, Peking University, Beijing, 100871)


Abstract:
It is given that a simplistic proof for the solvability of Total Least Squares problem, extending this idea for General Total Least Squares problem, establishes a sufficient and necessary condition for solvability, proves the uniqueness of the amendment matrix and gives it's expression.

Key words:
general total least squares problem; SVD decomposition; singular values; singular vectors

(R.D.1998-10-21 P.D.2000-01-20 Vol.36 No.1 pp.1-7)



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