Numerical methods for QBD matrix equations
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Publication:6623474
DOI10.1007/S40314-024-02958-2MaRDI QIDQ6623474
Ruiping Wen, Xiaolu Zhao, Jinrui Guan
Publication date: 24 October 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
minimal nonnegative solutionNewton iteration methodfixed point iteration methodregular M-matrixQBD matrix equation
Cites Work
- Title not available (Why is that?)
- Geometric tail of queue length of low-priority customers in a nonpreemptive priority MAP/PH/1 queue
- Relaxed functional iteration techniques for the numerical solution of \(M/G/1\) type Markov chains
- On the numerical solution of a nonlinear matrix equation in Markov chains
- Improved cyclic reduction for solving queueing problems
- A class of iteration methods based on the Moser formula for nonlinear equations in Markov chains
- New convergence results on functional iteration techniques for the numerical solution of M/G/1 type Markov chains
- Highly accurate doubling algorithm for quadratic matrix equation from quasi-birth-and-death process
- Componentwise accurate fluid queue computations using doubling algorithms
- Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations
- On algebraic Riccati equations associated with \(M\)-matrices
- Convergence analysis of the Latouche--Ramaswami algorithm for null recurrent quasi-birth-death processes
- Efficient Computations for the Discrete GI/G/1 System
- Quasi-Birth-and-Death Processes and Matrix-Valued Orthogonal Polynomials
- On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes
- Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case
- Nonlinear Matrix Equations in Applied Probability—Solution Techniques and Open Problems
- Introduction to Matrix Analytic Methods in Stochastic Modeling
- A logarithmic reduction algorithm for quasi-birth-death processes
- Newton's iteration for non-linear equations in Markov chains
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Comments on a Shifted Cyclic Reduction Algorithm for Quasi-Birth-Death Problems
- Finite Markov Chains and Algorithmic Applications
- Numerical Methods for Structured Markov Chains
- A randomised iterative method for solving factorised linear systems
- New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem
- Algorithms for square root of semi-infinite quasi-Toeplitz $M$-matrices
- An efficient algorithm for Fantope-constrained sparse principal subspace estimation problem
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