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Theorems and counterexamples on structured matrices

Olga Holtz

math.RAarXiv:math/0512588

Abstract

The subject of Chapter 1 is GKK τ-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.

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