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ALPS: Classes of stable and semipositive matrices

โœ Scribed by Abraham Berman; Robert C. Ward


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
558 KB
Volume
21
Category
Article
ISSN
0024-3795

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โœ A. Bhaya; E. Kaszkurewicz; R. Santos ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

This paper extends some results on the structure of subsets of the set of stable matrices. For these subsets, different characterizations are obtained using the set product, defined in this paper, as well as inertia and algebraic characterizations for low dimensions (2ร—2 and 3ร—3 matrices). Some incl

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It is shown that vertex stability implies Schur D-stability for real 3 ร— 3 matrices. Also, principally nilpotent n ร— n complex matrices are shown to be perfectly Schur D -stable, and additional characterizations of these matrices are given.