Numerical methods in Markov chain modeling
Operations Research
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
Mathematics of Computation
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Comparison of Partitioning Techniques for Two-Level Iterative Solvers on Large, Sparse Markov Chains
SIAM Journal on Scientific Computing
Application of Threshold Partitioning of Sparse Matrices to Markov Chains
IPDS '96 Proceedings of the 2nd International Computer Performance and Dependability Symposium (IPDS '96)
Location Prediction Based on a Sector Snapshot for Location-Based Services
Journal of Network and Systems Management
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Two-stage methods in which the inner iterations are accomplished by an alternating method are developed. Convergence of these methods is shown in the context of solving singular and nonsingular linear systems. These methods are suitable for parallel computation. Experiments related to finding stationary probability distribution of Markov chains are performed. These experiments demonstrate that the parallel implementation of these methods can solve singular systems of linear equations in substantially less time than the sequential counterparts.