Theorems and counterexamples on structured matrices

Abstract

The subject of Chapter 1 is GKK $\tau$-matrices and related topics. Chapter 2 is devoted to boundedly invertible collections of matrices, with applications to operator norms and spline approximation. Various structured matrices (Toeplitz, Hessenberg, Hankel, Cauchy, and other) are used extensively throughout the thesis.

PhD thesis, University of Wisconsin-Madison, August 2000; 30 pages, 4 figures