𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Application of the coefficient of ergodicity in the estimation of the spectral radius of real matrices

✍ Scribed by Yu. A. Pykh

Publisher
SP MAIK Nauka/Interperiodica
Year
1978
Tongue
English
Weight
194 KB
Volume
23
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An estimation of the spectral radius of
An estimation of the spectral radius of a product of block matrices
✍ Mei-Qin Chen; Xiezhang Li πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 186 KB

Let C(r) = [C ij ], r = 1, 2, . . . , R, be block m Γ— m matrices where C ij (r) are nonnegative N i Γ— N j matrices for i, j = 1, 2, . . . , m. Let β€’ be a consistent matrix norm. Denote for each r by B(r) = [ C ij (r) ] an m Γ— m matrix. The relation of the spectral radii ρ( R r=1 C(r)) and ρ( R r=1 B

Preservers of spectral radius, numerical
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices
✍ Chi-Kwong Li; Leiba Rodman πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 242 KB

Let M + n be the set of entrywise nonnegative n Γ— n matrices. Denote by r(A) the spectral radius (Perron root) of A ∈ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S ∈ M + n with exactly one positive entry in each row and each co