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Theorems and counterexamples on structured matrices

Research paper by Olga Holtz

Indexed on: 26 Dec '05Published on: 26 Dec '05Published in: Mathematics - Rings and Algebras



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.