Joint Spectral Characteristics of Matrices: a Conic Programming Approach. SIAM J. Matrix Anal. Appl
AbstractWe propose a new method to compute the joint spectral radius and the joint spectral subradius of a set of matrices. We first restrict our attention to matrices that leave a cone invariant. The accuracy of our algorithm, depending on geometric properties of the invariant cone, is estimated. We then extend our method to arbitrary sets of matrices by a lifting procedure, and we demonstrate the efficiency of the new algorithm by applying it to several problems in combinatorics, number theory, and discrete mathematics.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Université catholique de Louvain in its series Open Access publications from Université catholique de Louvain with number info:hdl:2078.1/33719.
Date of creation: 2010
Date of revision:
Publication status: Published in SIAM Journal on Matrix Analysis and Applications (2010) v.31, p.2146-2162
Contact details of provider:
Web page: http://www.uclouvain.be
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Blondel, Vincent, 2006. "On the complexity of computing the capacity of codes that avoid forbidden difference patterns. IEEE Trans. Inf. Theory," Open Access publications from UniversitÃ© catholique de Louvain info:hdl:2078.1/38165, Université catholique de Louvain.
- BLONDEL, Vincent & NESTEROV, Yu, 2008. "Polynomial-time computation of the joint spectral radius for some sets of nonnegative matrices," CORE Discussion Papers 2008034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Fabrizio Tinti).
If references are entirely missing, you can add them using this form.