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Nonnegativity of Schur complements of nonnegative projectors

Please always quote using this URN:urn:nbn:de:0296-matheon-4365
  • In this note we prove that the Schur complement of a nonnegative idempotent matrix, i.e. a nonnegative projector, is again a nonnegative idempotent matrix for certain generalized inverses.

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Metadaten
Author:Shmuel Friedland, Elena Virnik
URN:urn:nbn:de:0296-matheon-4365
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/11/01
Release Date:2008/11/01
Tag:
Institute:Technische Universität Berlin
MSC-Classification:15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A09 Matrix inversion, generalized inverses
15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A15 Determinants, permanents, other special matrix functions [See also 19B10, 19B14]
Preprint Number:420
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