ON THE SOLVABILITY OF TLS PROBLEM
关于TLS问题的可解性

The total least square (TLS for short) technique is an important method instatistics, nonlinear programming and numerical fittings. In, by using SVD, Goluband Van Loan obtained sufficient conditions for the solvability of the TLS problem.In this paper, the solvability of the TLS problem is discussed completely. Necessaryand sufficient conditions for the solvability are established. Also, a residual expressionis given.