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
Approximation of the joint spectral radius using sum of squares
โ Scribed by Pablo A. Parrilo; Ali Jadbabaie
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 233 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let M + n be the set of entrywise nonnegative n ร n matrices. Denote by r(A) the spectral radius (Perron root) of A โ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S โ M + n with exactly one positive entry in each row and each co
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