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.
Author: | Shmuel Friedland, Elena Virnik |
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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 |