Exact Computation of Joint Spectral Characteristics of Linear Operators

  title={Exact Computation of Joint Spectral Characteristics of Linear Operators},
  author={Nicola Guglielmi and Vladimir Protasov},
  journal={Foundations of Computational Mathematics},
We address the problem of the exact computation of two joint spectral characteristics of a family of linear operators, the joint spectral radius (JSR) and the lower spectral radius (LSR), which are well-known different generalizations to a set of operators of the usual spectral radius of a linear operator. In this paper we develop a method which—under suitable assumptions—allows us to compute the JSR and the LSR of a finite family of matrices exactly. We remark that so far no algorithm has been… CONTINUE READING
Highly Cited
This paper has 40 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 24 extracted citations


Publications referenced by this paper.
Showing 1-10 of 50 references

Asymptotic behaviour of the partition function

  • V.Yu. Protasov
  • Sb. Math. 191(3–4),
  • 2000
Highly Influential
13 Excerpts

a conic programming approach, SIAM J

  • V.Yu. Protasov, R. M. Jungers, V. D. Blondel, Joint spectral characteristics of matrices
  • Matrix Anal. Appl. 31(4), 2146–2162
  • 2010
Highly Influential
7 Excerpts

Balanced complex polytopes and related vector and matrix norms

  • N. Guglielmi, M. Zennaro
  • J. Convex Anal. 14,
  • 2007
Highly Influential
6 Excerpts

An algorithm for finding extremal polytope norms of matrix families

  • N. Guglielmi, M. Zennaro
  • Linear Algebra Appl. 428(10),
  • 2008
Highly Influential
5 Excerpts

The joint spectral radius and invariant sets of linear operators, Fundam

  • V.Yu. Protasov
  • Prikl. Mat. 2(1),
  • 1996
Highly Influential
7 Excerpts

Lyapunov indicator for discrete inclusions, I–III

  • N. E. Barabanov
  • Autom. Remote Control 49(2),
  • 1988
Highly Influential
2 Excerpts

Convergence analysis of C2 Hermite interpolatory subdivision schemes by explicit joint spectral radius formulas

  • N. Guglielmi, C. Manni, D. Vitale
  • Linear Algebra Appl. 434,
  • 2011
2 Excerpts

Invariant functionals for random matrices

  • V.Yu. Protasov
  • Funct. Anal. Appl. 44(3),
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…