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Volumn 38, Issue 1, 1998, Pages 22-33

Computing spectral value sets using the subharmonicity of the norm of rational matrices

Author keywords

Pseudospectra; Spectral value sets; Subharmonicity

Indexed keywords


EID: 0008852960     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510914     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0001324335 scopus 로고
    • Subharmonic functions and performance bounds on linear time-invariant feedback systems
    • S. Boyd and C. A. Desoer, Subharmonic functions and performance bounds on linear time-invariant feedback systems, IMA J. Math. Control Inform., 2 (1985), pp. 153-170.
    • (1985) IMA J. Math. Control Inform. , vol.2 , pp. 153-170
    • Boyd, S.1    Desoer, C.A.2
  • 2
    • 0003575565 scopus 로고    scopus 로고
    • Fvspspack: A Fortran and PVM package to compute the field of values and pseudospectra of large matrices
    • Manchester Center for Computational Mathematics
    • T. Braconnier, Fvspspack: a Fortran and PVM package to compute the field of values and pseudospectra of large matrices, Numerical Analysis Report No. 293, Manchester Center for Computational Mathematics, 1996.
    • (1996) Numerical Analysis Report , Issue.293
    • Braconnier, T.1
  • 5
    • 0003416796 scopus 로고
    • An Introduction to Classical Complex Analysis
    • Birkhäuser, Basel
    • R. B. Burckel, An Introduction to Classical Complex Analysis, Volume 64 of Mathematische Reihe, Birkhäuser, Basel, 1979.
    • (1979) Mathematische Reihe , vol.64
    • Burckel, R.B.1
  • 11
    • 0005579471 scopus 로고
    • The test matrix toolbox for Matlab (version 3.0)
    • Manchester Centre for Computational Mathematics
    • N. J. Higham, The test matrix toolbox for Matlab (version 3.0), Numerical Analysis Report No. 279, Manchester Centre for Computational Mathematics, 1995.
    • (1995) Numerical Analysis Report , Issue.279
    • Higham, N.J.1
  • 12
    • 0027642197 scopus 로고
    • Spectral value sets: A graphical tool for robustness analysis
    • D. Hinrichsen and B. Kelb, Spectral value sets: a graphical tool for robustness analysis, Systems Control Lett., 21 (1993), pp. 127-136.
    • (1993) Systems Control Lett. , vol.21 , pp. 127-136
    • Hinrichsen, D.1    Kelb, B.2
  • 13
    • 85033923543 scopus 로고
    • Stability radii and spectral value sets for real matrix perturbations
    • U. Helmke and R. Mennicken, eds., Regensburg
    • D. Hinrichsen and B. Kelb, Stability radii and spectral value sets for real matrix perturbations, in Proceedings Conference MTNS, U. Helmke and R. Mennicken, eds., Regensburg, 1993.
    • (1993) Proceedings Conference MTNS
    • Hinrichsen, D.1    Kelb, B.2
  • 14
    • 0022889209 scopus 로고
    • Stability radius for structured perturbations and the algebraic Riccati equation
    • D. Hinrichsen and A. J. Pritchard, Stability radius for structured perturbations and the algebraic Riccati equation, Systems Control Lett., 14 (1986), pp. 105-113.
    • (1986) Systems Control Lett. , vol.14 , pp. 105-113
    • Hinrichsen, D.1    Pritchard, A.J.2
  • 15
    • 0005203585 scopus 로고
    • On spectral variations under bounded real perturbations
    • D. Hinrichsen and A. J. Pritchard, On spectral variations under bounded real perturbations, Numer. Math., 60 (1992), pp. 509-524.
    • (1992) Numer. Math. , vol.60 , pp. 509-524
    • Hinrichsen, D.1    Pritchard, A.J.2
  • 16
    • 0000241112 scopus 로고
    • Real and complex stability radii: A survey
    • Control of Uncertain Systems, D. Hinrichsen and B. Mårtensson, eds., Birkhäuser, Basel
    • D. Hinrichsen and A. J. Pritchard, Real and complex stability radii: A survey, in Control of Uncertain Systems, D. Hinrichsen and B. Mårtensson, eds., number 6 in Progress in Systems and Control Theory, Birkhäuser, Basel, 1990, pp. 119-162.
    • (1990) Progress in Systems and Control Theory , Issue.6 , pp. 119-162
    • Hinrichsen, D.1    Pritchard, A.J.2
  • 17
    • 0031082730 scopus 로고    scopus 로고
    • Computation of pseudospectra by continuation
    • S. H. Lui, Computation of pseudospectra by continuation, SIAM J. Sci. Comput., 18 (1997), pp. 565-573.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 565-573
    • Lui, S.H.1
  • 20
    • 0004332272 scopus 로고
    • Wilkinson House, Jordan Hill Road, Oxford, U. K.
    • NAG Ltd, NAG Fortran Library Manual, Mark 16, Wilkinson House, Jordan Hill Road, Oxford, U. K., 1995.
    • (1995) NAG Fortran Library Manual, Mark 16
  • 21
    • 0027542120 scopus 로고
    • Pseudospectra of the Orr-Sommerfeld operator
    • S. C. Reddy, P. Schmidt, and D. Henningson, Pseudospectra of the Orr-Sommerfeld operator, SIAM J. Appl. Math., 53:1 (1993), pp. 15-47.
    • (1993) SIAM J. Appl. Math. , vol.53 , Issue.1 , pp. 15-47
    • Reddy, S.C.1    Schmidt, P.2    Henningson, D.3
  • 22
    • 0025448395 scopus 로고
    • Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
    • S. C. Reddy and L. N. Trefethen, Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues, Comput. Methods Appl. Mech. Engrg., 80 (1990), pp. 147-164.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.80 , pp. 147-164
    • Reddy, S.C.1    Trefethen, L.N.2
  • 23
    • 0000008495 scopus 로고
    • Stability of the method of lines
    • S. C. Reddy and L. N. Trefethen, Stability of the method of lines, Numer. Math., 62 (1992), pp. 236-267.
    • (1992) Numer. Math. , vol.62 , pp. 236-267
    • Reddy, S.C.1    Trefethen, L.N.2
  • 24
    • 0001953835 scopus 로고    scopus 로고
    • Calculation of pseudospectra by the Arnoldi iteration
    • K. C. Toh and L. N. Trefethen, Calculation of pseudospectra by the Arnoldi iteration, SIAM J. Sci. Comput., 17:1 (1996), pp. 1-15.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.1 , pp. 1-15
    • Toh, K.C.1    Trefethen, L.N.2
  • 25
    • 0000992781 scopus 로고
    • Pseudospectra of matrices
    • Numerical Analysis, June 1991, D. F. Griffiths and G. A. Watson, eds., Longman, Essex, U. K.
    • L. N. Trefethen, Pseudospectra of matrices, in Numerical Analysis, Proceedings of the 14th Dundee Conference, June 1991, D. F. Griffiths and G. A. Watson, eds., volume 91, Longman, Essex, U. K., 1992, pp. 234-266.
    • (1992) Proceedings of the 14th Dundee Conference , vol.91 , pp. 234-266
    • Trefethen, L.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.