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Volumn 431, Issue 11, 2009, Pages 2134-2141

On accuracy of approximation of the spectral radius by the Gelfand formula

Author keywords

Generalized spectral radius; Infinite matrix products; Joint spectral radius

Indexed keywords

GENERALIZED SPECTRAL RADIUS; INFINITE MATRIX PRODUCTS; JOINT SPECTRAL RADIUS; MATHEMATICAL CONSTRUCTIONS; MATRIX; RATE OF CONVERGENCE; SPECTRAL RADII;

EID: 69949169646     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2009.07.008     Document Type: Article
Times cited : (36)

References (16)
  • 2
    • 0000719845 scopus 로고
    • A note on the joint spectral radius
    • Rota G.-C., and Strang G. A note on the joint spectral radius. Indag. Math. 22 (1960) 379-381
    • (1960) Indag. Math. , vol.22 , pp. 379-381
    • Rota, G.-C.1    Strang, G.2
  • 3
    • 0040944392 scopus 로고    scopus 로고
    • Asymptotic stability and generalized Gelfand spectral radius formula
    • Shih M.-H., Wu J.-W., and Pang C.-T. Asymptotic stability and generalized Gelfand spectral radius formula. Linear Algebra Appl. 252 (1997) 61-70
    • (1997) Linear Algebra Appl. , vol.252 , pp. 61-70
    • Shih, M.-H.1    Wu, J.-W.2    Pang, C.-T.3
  • 4
    • 0001219086 scopus 로고
    • Sets of matrices all infinite products of which converge
    • Daubechies I., and Lagarias J.C. Sets of matrices all infinite products of which converge. Linear Algebra Appl. 161 (1992) 227-263
    • (1992) Linear Algebra Appl. , vol.161 , pp. 227-263
    • Daubechies, I.1    Lagarias, J.C.2
  • 5
    • 20244376286 scopus 로고    scopus 로고
    • Corrigendum/addendum to: "Sets of matrices all infinite products of which converge"
    • Daubechies I., and Lagarias J.C. Corrigendum/addendum to: "Sets of matrices all infinite products of which converge". Linear Algebra Appl. 327 1-3 (2001) 69-83
    • (2001) Linear Algebra Appl. , vol.327 , Issue.1-3 , pp. 69-83
    • Daubechies, I.1    Lagarias, J.C.2
  • 6
    • 0034414416 scopus 로고    scopus 로고
    • Characterization of joint spectral radius via trace
    • Chen Q., and Zhou X. Characterization of joint spectral radius via trace. Linear Algebra Appl. 315 1-3 (2000) 175-188
    • (2000) Linear Algebra Appl. , vol.315 , Issue.1-3 , pp. 175-188
    • Chen, Q.1    Zhou, X.2
  • 8
    • 33847197303 scopus 로고    scopus 로고
    • A generalization of the joint spectral radius: the geometrical approach
    • Protasov V.Yu. A generalization of the joint spectral radius: the geometrical approach. Facta Univ. Ser. Math. Inform. 13 (1998) 19-23
    • (1998) Facta Univ. Ser. Math. Inform. , Issue.13 , pp. 19-23
    • Protasov, V.Yu.1
  • 10
    • 40849089385 scopus 로고    scopus 로고
    • P.A. Parrilo, A. Jadbabaie, Approximation of the joint spectral radius using sum of squares, Linear Algebra Appl. 428 (10) (2008) 2385-2402. arXiv:0712.2887, doi:10.1016/j.laa.2007.12.027.
    • P.A. Parrilo, A. Jadbabaie, Approximation of the joint spectral radius using sum of squares, Linear Algebra Appl. 428 (10) (2008) 2385-2402. arXiv:0712.2887, doi:10.1016/j.laa.2007.12.027.
  • 11
    • 0038392496 scopus 로고    scopus 로고
    • J. Bochi, Inequalities for numerical invariants of sets of matrices, Linear Algebra Appl. 368 (2003) 71-81. arXiv:math/0206128, doi:10.1016/S0024-3795(02)00658-4.
    • J. Bochi, Inequalities for numerical invariants of sets of matrices, Linear Algebra Appl. 368 (2003) 71-81. arXiv:math/0206128, doi:10.1016/S0024-3795(02)00658-4.
  • 12
    • 0032183095 scopus 로고    scopus 로고
    • On the calculation of time-varying stability radii
    • Wirth F. On the calculation of time-varying stability radii. Internat. J. Robust Nonlinear Control 8 12 (1998) 1043-1058
    • (1998) Internat. J. Robust Nonlinear Control , vol.8 , Issue.12 , pp. 1043-1058
    • Wirth, F.1
  • 13
    • 69949152351 scopus 로고    scopus 로고
    • On explicit a priori estimates of the joint spectral radius by the generalized Gelfand formula, ArXiv.org e-Print archive
    • October, arXiv:0810.2157
    • V. Kozyakin, On explicit a priori estimates of the joint spectral radius by the generalized Gelfand formula, ArXiv.org e-Print archive (October 2008). arXiv:0810.2157.
    • (2008)
    • Kozyakin, V.1
  • 15
    • 0032365995 scopus 로고    scopus 로고
    • Simultaneous contractibility
    • 10.1137/S0895479897318812
    • Ando T., and Shih M.-H. Simultaneous contractibility. SIAM J. Matrix Anal. Appl. 19 2 (1998) 487-498 10.1137/S0895479897318812
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , Issue.2 , pp. 487-498
    • Ando, T.1    Shih, M.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.