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 计算数学 2013, Vol. 35 Issue (4): 401-418    DOI:
 论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 Previous Articles  |  Next Articles 1. 福建师范大学数学与计算机科学学院, 福州 350007;
2. 福建江夏学院信息系, 福州 350108
SOME PREDICTOR-CORRECTOR-TYPE ITERATIVE SCHEMES FOR SOLVING NONSYMMETRIC ALGEBRAIC RICCATI EQUATIONS ARISING IN TRANSPORT THEORY
Huang Na1, Ma Changfeng1, Xie Yajun2
1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China;
2. Department of Information, Fujian jiangxia University, Fuzhou 350108, China
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Abstract： It is as well known that nonsymmetric algebraic Riccati equations arising in transport theory can be translated to vector equations. In this paper, we propose some predictorcorrector-type iterative schemes to solve the vector equations. And we prove that all the sequence generated by the iterative schemes, which converges to the minimal positive solution of the vector equations, are strictly and monotonically increasing and bounded above. In addition, some numerical results are also reported in the paper, which confirm the good theoretical properties of our approach.

 引用本文: . 求解非对称代数Riccati 方程几个新的预估-校正法[J]. 计算数学, 2013, 35(4): 401-418. . SOME PREDICTOR-CORRECTOR-TYPE ITERATIVE SCHEMES FOR SOLVING NONSYMMETRIC ALGEBRAIC RICCATI EQUATIONS ARISING IN TRANSPORT THEORY[J]. Mathematica Numerica Sinica, 2013, 35(4): 401-418.

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