Total least squares problem with the arbitrary unitarily invariant norms

This paper is focused on the total least squares (TLS) minimization of an approximation problem , with multiple right-hand sides. We consider the minimization with respect to a general unitarily invariant norm (UIN). In particular, we investigate existence of the TLS solution, relationships among TLS solutions with respect to different UINs, uniqueness of the correction matrices and of the TLS solution.