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On Inertia of Some Structured Hermitian Matrices

  • Vladimir Bolotnikov
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 199)

Abstract

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 

Keywords

Structured Hermitian matrices inertia 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • Vladimir Bolotnikov
    • 1
  1. 1.Department of MathematicsThe College of William and MaryWilliamsburgUSA

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