Pairs of matrices that preserve the value of a generalized matrix function on the set of the upper triangular matrices
✍ Scribed by Rosário Fernandes; Henrique F. da Cruz
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 205 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
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.
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