✦ LIBER ✦

On thep-norm joint spectral radius

✍ Scribed by Zhou Jia-li

Publisher: SP Zhejiang University Press
Year: 2003
Tongue: English
Weight: 313 KB
Volume: 4
Category: Article
ISSN: 1009-3095
DOI: 10.1007/bf02851617

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On matrices having equal spectral radius

On matrices having equal spectral radius and spectral norm

✍ M. Goldberg; G. Zwas 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 294 KB

On the accuracy of the ellipsoid norm ap

On the accuracy of the ellipsoid norm approximation of the joint spectral radius

✍ Vincent D. Blondel; Yurii Nesterov; Jacques Theys 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 260 KB

The joint spectral radius of a set of matrices is a measure of the maximal asymptotic growth rate that can be obtained by forming long products of matrices taken from the set. This quantity appears in a number of application contexts but is notoriously difficult to compute and to approximate. We int

On the higher numerical radius and spect

On the higher numerical radius and spectral norm

✍ Chi-Kwong Li 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 584 KB

Optimal norms and the computation of joi

Optimal norms and the computation of joint spectral radius of matrices

✍ Mohsen Maesumi 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 863 KB

The notion of spectral radius of a set of matrices is a natural extension of spectral radius of a single matrix. The finiteness conjecture (FC) claims that among the infinite products made from the elements of a given finite set of matrices, there is a certain periodic product, made from the repetit

Computing the joint spectral radius

✍ Gustaf Gripenberg 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 519 KB

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 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 242 KB

Let M + n be the set of entrywise nonnegative n × 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