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Hermitian and normal completions
Journal article   Peer reviewed

Hermitian and normal completions

Hugo J. Woerdeman
Linear & multilinear algebra, v 42(3), 239
01 Jan 1997

Abstract

15A57, 15A24, 15A42 Hermitian completions Inertia matrix inequalities Normal completions Partial matrices subnormal
The problems of finding the minimal and maximal possibie negative and positive inertia for partial Hermitian banded matrices has been solved without any nonsingularity restrictions on the given blocks. The solution has striking similarities with minimal rank completion results. Applications to Hermitian matrix (in)equalities are presented. In addition, the minimal normal completion problem is introduced.

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