New convergence results on functional iteration techniques for the numerical solution of M/G/1 type Markov chains

Numerische Mathematik

Volumn 78, Issue 1, 1997, Pages 39-58

  Meini, Beatrice ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031321618     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050303     Document Type: Article

References (10)

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3. Bini D., Meini B. (1996): On the solution of a nonlinear matrix equation arising in queueing problems. SIAM J. Matrix Anal. Appl. 17(4), pp. 906-926
4. Çinlar E. (1975): Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs, N.J.
5. Latouche G. (1992): Algorithms for evaluating the matrix G in Markov chains of PH/G/1 type. Bellcore Technical Report
6. Latouche G. (1995): Personal communication
7. Latouche G., Stewart G.W. (1996): Numerical methods for M/G/1 type queues. In: Stewart, W.J. (ed.) Computations with Markov Chains, pp. 571-581, Kluwer Academic Publishers
8. Mine H. (1988): Nonnegative Matrices, John Wiley and Sons, Inc.
9. Neuts M.F. (1989): Structured Stochastic Matrices of M/G/1 Type and Their Applications, Dekker Inc., New York
10. Varga R.S. (1962): Matrix Iterative Analysis, New Jersey, Prentice Hall