PUMA
Istituto di Informatica e Telematica     
Favati P., Meini B. Solving certain queueing problems by means of regular splittings. Technical report, 1999.
 
 
Abstract
(English)
We analyze the problem of the computation of the solution of the nonlinear matrix equation $X=sum_{i=0}^{+infty}X^iA_i$, arising in queueing models. We propose a technique based on regular splittings, that one hand leads to a new method for computing the solution, on the other hand it may be used to construct nonlinear matrix equations equivalent to starting one, that can be possibly solved by applying different algorithms.
Subject G.1.3 Numerical Linear Algebra
15A24 Matrix equations and identities



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