Abstract
In this paper, some accelerated iterative algorithms are developed to find the minimal positive solution of the nonsymmetric algebraic Riccati equation arising in transport theory. The convergence analysis shows that the sequences of vectors generated by iterative algorithms with the initial vector are monotonically increasing and converge to the minimal positive solution of the vector equations. Numerical examples are provided to illustrate the efficiency of the proposed algorithms and testify the conclusions suggested in this paper.
Acknowledgments
The authors deeply thank the anonymous referees for helping to improve the original manuscript by valuable suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.