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Volumn 2005, Issue , 2005, Pages 3001-3006

The geometric approach for computing the joint spectral radius

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTATION THEORY; MATHEMATICAL OPERATORS; POLYNOMIALS; SPECTRUM ANALYSIS;

EID: 33847212475     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582621     Document Type: Conference Paper
Times cited : (20)

References (14)
  • 1
    • 0002046992 scopus 로고
    • Bounded semi-groups of matrices
    • M. A. Berger, Y. Wang, Bounded semi-groups of matrices, Linear Alg. Appl., 166 (1992), pp. 21-27.
    • (1992) Linear Alg. Appl , vol.166 , pp. 21-27
    • Berger, M.A.1    Wang, Y.2
  • 3
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • J. E. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J., 30 (1981), No 5, pp. 713-747.
    • (1981) Indiana Univ. Math. J , vol.30 , Issue.5 , pp. 713-747
    • Hutchinson, J.E.1
  • 4
    • 33644688747 scopus 로고    scopus 로고
    • Nontrivial fractals in the plane and linear operators with joint spectral radius equal to I
    • I.Sheipak, Nontrivial fractals in the plane and linear operators with joint spectral radius equal to I, Math. Notes 63 (1998), No.5, pp. 701-705.
    • (1998) Math. Notes , vol.63 , Issue.5 , pp. 701-705
    • Sheipak, I.1
  • 5
    • 9644300965 scopus 로고    scopus 로고
    • Computing the joint spectral radius
    • G. Gripenberg, Computing the joint spectral radius, Lin. Alg. Appl., 234 (1996), pp. 43-60.
    • (1996) Lin. Alg. Appl , vol.234 , pp. 43-60
    • Gripenberg, G.1
  • 6
    • 0000160525 scopus 로고
    • Two-scale, difference equations. II. Local regularity, infinite products of matrices and fractals
    • I. Daubechies, J.Lagarias, Two-scale, difference equations. II. Local regularity, infinite products of matrices and fractals, SIAM. J. Math. Anal. 23 (1992), 1031-1079.
    • (1992) SIAM. J. Math. Anal , vol.23 , pp. 1031-1079
    • Daubechies, I.1    Lagarias, J.2
  • 7
    • 21344484187 scopus 로고
    • Characterization of scaling functions. I. Continuous solutions
    • D.Collela, C.Heil, Characterization of scaling functions. I. Continuous solutions, SIAM J. Matrix Anal. Appl., 15 (1994), 496-518.
    • (1994) SIAM J. Matrix Anal. Appl , vol.15 , pp. 496-518
    • Collela, D.1    Heil, C.2
  • 8
    • 0034262644 scopus 로고    scopus 로고
    • Approximating the spectral radius of sets of matrices in the max-algebra is NP-hard
    • V. Blondel, J. M. Tsitsiklis, Approximating the spectral radius of sets of matrices in the max-algebra is NP-hard, IEEE Trans. Autom. Control., 45 (2000), No 9, pp. 1762-1765.
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.9 , pp. 1762-1765
    • Blondel, V.1    Tsitsiklis, J.M.2
  • 9
    • 0009944648 scopus 로고    scopus 로고
    • The boundedness of all products of a pair of matrices is undecidable
    • V. Blondel, J.M. Tsitsiklis, The boundedness of all products of a pair of matrices is undecidable, Syst. Control Lett., 41 (2000), No 2, pp. 135-140.
    • (2000) Syst. Control Lett , vol.41 , Issue.2 , pp. 135-140
    • Blondel, V.1    Tsitsiklis, J.M.2
  • 10
    • 0347327012 scopus 로고
    • p-solutions for two-scale dilation equations
    • p-solutions for two-scale dilation equations, SIAM J. Math. Anal. 26 (1995), pp. 1018-1046.
    • (1995) SIAM J. Math. Anal , vol.26 , pp. 1018-1046
    • Lau, K.S.1    Wang, J.2
  • 11
    • 33847193686 scopus 로고    scopus 로고
    • Y.Wang, Two-scale dilation equations and the mean spectral radius. Random Comput.Dynamic, 4 (1996),No 1, pp.49-72
    • Y.Wang, Two-scale dilation equations and the mean spectral radius. Random Comput.Dynamic, 4 (1996),No 1, pp.49-72
  • 13
    • 33748042317 scopus 로고    scopus 로고
    • The generalized spectral radius. The geometric approach
    • V. Yu. Protasov, The generalized spectral radius. The geometric approach, Izvestiya Mathematics. 61 (1997), No 5, pp. 995-1030.
    • (1997) Izvestiya Mathematics , vol.61 , Issue.5 , pp. 995-1030
    • Protasov, V.Y.1
  • 14
    • 33847197303 scopus 로고    scopus 로고
    • A generalization of the joint spectral radius: The geometrical approach
    • V. Yu. Protasov, A generalization of the joint spectral radius: the geometrical approach, Facta Univ. Ser. Math. Inform. No. 13 (1998), pp. 19-23.
    • (1998) Facta Univ. Ser. Math. Inform , Issue.13 , pp. 19-23
    • Protasov, V.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.