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The inertia of Hermitian block matrices with zero main diagonal

โœ Scribed by C.M. da Fonseca

Book ID
108360526
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
64 KB
Volume
311
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

The inertia of certain Hermitian block m
The inertia of certain Hermitian block matrices
โœ C.M. da Fonseca ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 629 KB

We characterize sets of inertias of some partitioned Hermitian matrices by a system of inequalities involving the orders of the blocks, the inert& of the diagonal blocks, and the ranks of the nondiagonal blocks. The main result generalizes some well-known characterizations of .% and Cain and others.