Steve Clark and Fritz Gesztesy Weyl-Titchmarsh $M$-Function Asymptotics for Matrix-Valued Schr\"odinger Operators (84K, LaTeX) ABSTRACT. We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with general matrix-valued Schr\"odinger operators on a half-line. This is a revised and updated version of a previously archived file (to appear in Proc. London Math. Soc. 82 (2001), 701--724).