On Inertia of Some Structured Hermitian Matrices
Two classes of structured Hermitian matrices are considered with the additional property that certain principal submatrices are all singular. Such matrices 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.
Mathematics Subject Classification (2000)15A57 11C20
KeywordsStructured Hermitian matrices inertia
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