Joint Spectral Characteristics of Matrices: A Conic Programming Approach
نویسندگان
چکیده
We 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.
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 31 شماره
صفحات -
تاریخ انتشار 2010