메뉴 건너뛰기




Volumn 428, Issue 1, 2008, Pages 20-38

Generalisation of the Perron-Frobenius theory to matrix pencils

Author keywords

Descriptor system; Differential algebraic equation; Differentiation index; Matrix pencils; Perron Frobenius theorem; Projector chain; Tractability index

Indexed keywords

DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); NUMERICAL METHODS; THEOREM PROVING;

EID: 36049040642     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.07.004     Document Type: Article
Times cited : (10)

References (16)
  • 2
    • 0003270351 scopus 로고
    • Nonnegative Matrices in the Mathematical Sciences
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia
    • Berman A., and Plemmons R.J. Nonnegative Matrices in the Mathematical Sciences. Classics in Applied Mathematics. second ed. vol. 9 (1994), Society for Industrial and Applied Mathematics (SIAM), Philadelphia
    • (1994) Classics in Applied Mathematics. second ed. , vol.9
    • Berman, A.1    Plemmons, R.J.2
  • 3
    • 36048995740 scopus 로고    scopus 로고
    • Some problems about structural properties of positive descriptor systems
    • Positive systems (Rome 2003), Springer, Berlin
    • Bru R., Coll C., Romero-Vivo S., and Sánchez E. Some problems about structural properties of positive descriptor systems. Positive systems (Rome 2003). Lecture Notes in Control and Inform. Sci. vol. 294 (2003), Springer, Berlin 233-240
    • (2003) Lecture Notes in Control and Inform. Sci. , vol.294 , pp. 233-240
    • Bru, R.1    Coll, C.2    Romero-Vivo, S.3    Sánchez, E.4
  • 5
    • 84962312539 scopus 로고    scopus 로고
    • Spectral properties of operator polynomials with nonnegative coefficients
    • Operator Theory and Indefinite Inner Product Spaces, Birkhäuser, Basel
    • Förster K.-H., and Nagy B. Spectral properties of operator polynomials with nonnegative coefficients. Operator Theory and Indefinite Inner Product Spaces. Oper. Theory Adv. Appl. vol. 163 (2006), Birkhäuser, Basel 147-162
    • (2006) Oper. Theory Adv. Appl. , vol.163 , pp. 147-162
    • Förster, K.-H.1    Nagy, B.2
  • 6
    • 36049043556 scopus 로고    scopus 로고
    • F.R. Gantmacher, The Theory of Matrices, vols. 1, 2, Translated by K.A. Hirsch, Chelsea Publishing Co., New York, 1959.
  • 7
    • 36049021360 scopus 로고    scopus 로고
    • E. Griepentrog, R. März, Differential-Algebraic Equations and Their Numerical Treatment, Teubner-Texte zur Mathematik [Teubner Texts in Mathematics], vol. 88, BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1986.
  • 9
    • 51349124276 scopus 로고    scopus 로고
    • European Mathematical Society (EMS), Zürich
    • Kunkel P., and Mehrmann V. Differential-Algebraic Equations. Analysis and Numerical Solution. EMS Textbooks in Mathematics (2006), European Mathematical Society (EMS), Zürich
    • (2006) EMS Textbooks in Mathematics
    • Kunkel, P.1    Mehrmann, V.2
  • 10
    • 26444607488 scopus 로고    scopus 로고
    • Index determination and calculation of consistent initial values for DAEs
    • Lamour R. Index determination and calculation of consistent initial values for DAEs. Comput. Math. Appl. 50 (2005) 1125-1140
    • (2005) Comput. Math. Appl. , vol.50 , pp. 1125-1140
    • Lamour, R.1
  • 11
    • 0013308096 scopus 로고
    • Perron-Frobenius properties of Ax - λ Bx
    • Mangasarian O.L. Perron-Frobenius properties of Ax - λ Bx. J. Math. Anal. Appl. 36 (1971) 86-102
    • (1971) J. Math. Anal. Appl. , vol.36 , pp. 86-102
    • Mangasarian, O.L.1
  • 12
    • 84971942321 scopus 로고
    • Numerical methods for differential algebraic equations
    • März R. Numerical methods for differential algebraic equations. Acta Numer. (1992) 141-198
    • (1992) Acta Numer. , pp. 141-198
    • März, R.1
  • 13
    • 0040201321 scopus 로고    scopus 로고
    • Canonical projectors for linear differential algebraic equations
    • März R. Canonical projectors for linear differential algebraic equations. Comput. Math. Appl. 31 (1996) 121-135
    • (1996) Comput. Math. Appl. , vol.31 , pp. 121-135
    • März, R.1
  • 16
    • 7444261418 scopus 로고    scopus 로고
    • A primer of Perron-Frobenius theory for matrix polynomials
    • Psarrakos P.J., and Tsatsomeros M.J. A primer of Perron-Frobenius theory for matrix polynomials. Linear Algebra Appl. 393 (2004) 333-351
    • (2004) Linear Algebra Appl. , vol.393 , pp. 333-351
    • Psarrakos, P.J.1    Tsatsomeros, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.