On a New Positive Extension Problem for Block Toeplitz Matrices

Document Type

Article

Publication Date

1998

Abstract

We consider positive extension problems for block Toeplitz matrices when the specified entries form a stalactite type pattern. These problems do not seem in general to be amenable to the classical methods (they correspond to bitangential interpolation problems in the class of Carathéodory functions of a kind usually not solvable by the classical methods of interpolation). We solve these problems by reduction to a tangential interpolation with symmetries in a Carathéodory class.

Comments

This article was originally published in Linear Algebra and its Applications, volume 268, in 1998. DOI: 10.1016/S0024-3795(97)00048-7

Peer Reviewed

1

Copyright

Elsevier

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