ON THE JORDAN FORM OF COMPLETIONS OF PARTIAL UPPER-TRIANGULAR MATRICES

Authors
JORDAN C TORREGROSA JR URBANO A
Citation
C. Jordan et al., ON THE JORDAN FORM OF COMPLETIONS OF PARTIAL UPPER-TRIANGULAR MATRICES, Linear algebra and its applications, 254, 1997, pp. 241-250
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
254
Year of publication
1997
Pages
241 - 250
Database
ISI
SICI code
0024-3795(1997)254:<241:OTJFOC>2.0.ZU;2-3
Abstract
Rodman and Shalom present in Linear Algebra Appl. 168:221-249 (1992) t wo completion conjectures for partial upper triangular matrices. In th is 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 Hessenberg matrice s. (C) Elsevier Science Inc., 1997.