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- W4287685237 abstract "We consider the problem of computing the minimal nonnegative solution $G$ of the nonlinear matrix equation $X=sum_{i=-1}^infty A_iX^{i+1}$ where $A_i$, for $ige -1$, are nonnegative square matrices such that $sum_{i=-1}^infty A_i$ is stochastic. This equation is fundamental in the analysis of M/G/1-type Markov chains, since the matrix $G$ provides probabilistic measures of interest. A new family of fixed point iterations for the numerical computation of $G$, that includes the classical iterations, is introduced. A detailed convergence analysis proves that the iterations in the new class converge faster than the classical iterations. Numerical experiments confirm the effectiveness of our extension." @default.
- W4287685237 created "2022-07-26" @default.
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- W4287685237 date "2020-08-25" @default.
- W4287685237 modified "2023-09-24" @default.
- W4287685237 title "A family of fast fixed point iterations for M/G/1-type Markov chains" @default.
- W4287685237 doi "https://doi.org/10.48550/arxiv.2008.11051" @default.
- W4287685237 hasPublicationYear "2020" @default.
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