The Parrott Problem for Singular Values
David Ogle, N. J. Young · Birkhäuser Basel eBooks · 2001
We discuss the problem of completing a partially specified matrix \( \left[ {\begin{array}{*{20}c}A \\C \\\end{array} {\text{ }}\begin{array}{*{20}c}B \\? \\\end{array} } \right] \) subject to a bound on the rnth singular value. A complete solution was given by Arsene, Constantinescu, and Gheondea [ACG]. We present a more elementary approach appropriate to the matrix case based on the use of Möbius transformations. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.