๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Similar powers of a matrix

โœ Scribed by Bourgeois, Gerald


Book ID
111938643
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
148 KB
Volume
61
Category
Article
ISSN
0308-1087

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


POWERS OF A COMPANION MATRIX
โœ Sophocles N. Brissimis ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 95 KB
A Note on Matrix Powers
๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› IEEE ๐ŸŒ English โš– 259 KB
Crawford numbers of powers of a matrix
โœ Kuo-Zhong Wang; Pei Yuan Wu; Hwa-Long Gau ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 211 KB
Is every matrix similar to a Toeplitz ma
โœ D.Steven Mackey; Niloufer Mackey; Srdjan Petrovic ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

We show that every n ร‚ n complex nonderogatory matrix is similar to a unique unit upper Hessenberg Toeplitz matrix. The proof is constructive, and can be adapted to nonderogatory matrices with entries in any ยฎeld of characteristic zero or characteristic greater than n. We also prove that every n ร‚ n