Titlebook: Numerical Methods for Structured Matrices and Applications; The Georg Heinig Mem Dario Andrea Bini,Volker Mehrmann,Marc Barel Book 2010 Bir

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On Inertia of Some Structured Hermitian Matricesrices can be considered as the Pick matrices of certain (interior and boundary) norm constrained interpolation problems for functions meromorphic on the unit disk which the iterative Schur algorithm does not apply to. We characterize these matrices in terms of the parameters determining their structure and present formulas for their inertia.

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V-cycle Optimal Convergence for DCT-III Matrices prove that the convergence rate of the considered multigrid method (V-cycle) is constant independent of the size of the given matrix. Numerical examples from differential and integral equations are considered to illustrate the claimed convergence properties.

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Numerical Methods for Structured Matrices and Applications978-3-7643-8996-3Series ISSN 0255-0156 Series E-ISSN 2296-4878

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