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Controlability by completions of partial upper triangular matrices

✍ Scribed by Leonid Gurvits; Leiba Rodman; Tamir Shalom


Publisher
Springer
Year
1993
Tongue
English
Weight
498 KB
Volume
6
Category
Article
ISSN
0932-4194

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πŸ“œ SIMILAR VOLUMES


On the jordan form of completions of par
✍ C. JordΓ‘n; J.R. Torregrosa; A. Urbano πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 520 KB

two completion conjectures for partial upper triangular matrices. In this paper we show that one of them is not true in general, and we prove its validity for some particular cases. We also prove the equivalence between the two conjectures in the case of partial Hessenherg matrices.

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We give a counterexample to a conjecture about the possible Jordan normal forms of nilpotent matrices where the entries in the upper triangular part are prescribed. 0 Elsevier Science Inc., 1997 Let A = [ai,j] be an n X n matrix where the entries ai, j, with i <j, are fixed constants, all the other