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Volumn 17, Issue 4, 1996, Pages 906-926

On the solution of a nonlinear matrix equation arising in queueing problems

Author keywords

Cyclic reduction; M G 1 type matrices; Queueing problems; Toeplitz matrices

Indexed keywords


EID: 0030492130     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479895284804     Document Type: Article
Times cited : (112)

References (18)
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  • 4
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  • 6
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    • On direct methods for solving Poisson's equation
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    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 627-656
    • Buzbee, B.L.1    Golub, G.H.2    Nielson, C.W.3
  • 8
    • 0022131573 scopus 로고
    • Regenerative analysis and steady state distribution for Markov chains
    • W. K. GRASSMAN, M. I. TAKSAR, AND D. P. HEYMAN, Regenerative analysis and steady state distribution for Markov chains, Oper. Res., 33 (1985), pp. 1107-1116.
    • (1985) Oper. Res. , vol.33 , pp. 1107-1116
    • Grassman, W.K.1    Taksar, M.I.2    Heyman, D.P.3
  • 10
    • 21844506405 scopus 로고
    • Newton's iteration for non-linear equations in Markov chains
    • _, Newton's iteration for non-linear equations in Markov chains, IMA J. Numer. Anal., 14 (1994), pp. 583-598.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 583-598
  • 11
    • 21344482962 scopus 로고
    • A logarithmic reduction algorithm for quasi-birth-death processes
    • G. LATOUCHE AND V. RAMASWAMI, A logarithmic reduction algorithm for quasi-birth-death processes, J. Appl. Probab., 30 (1993), pp. 650-674.
    • (1993) J. Appl. Probab. , vol.30 , pp. 650-674
    • Latouche, G.1    Ramaswami, V.2
  • 13
    • 0026939776 scopus 로고
    • On the stability of transform-based circular deconvolution
    • E. LINZER, On the stability of transform-based circular deconvolution, SIAM J. Numer. Anal., 29 (1992), pp. 1482-1492.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 1482-1492
    • Linzer, E.1
  • 14
    • 85033509252 scopus 로고    scopus 로고
    • New convergence results on functional iteration techniques for the numerical solution of M/G/1 type Markov chains
    • to appear
    • B. MEINI, New Convergence Results on Functional Iteration Techniques for the Numerical Solution of M/G/1 Type Markov Chains, Numer. Math., to appear.
    • Numer. Math.
    • Meini, B.1
  • 16
    • 0024018936 scopus 로고
    • Nonlinear matrix equations in applied probability - Solution techniques and open problems
    • V. RAMASWAMI, Nonlinear matrix equations in applied probability - solution techniques and open problems, SIAM Rev., 30 (1988), pp. 256-263.
    • (1988) SIAM Rev. , vol.30 , pp. 256-263
    • Ramaswami, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.