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中文摘要：
来源于输运理论的非对称代数Riccati方程可等价地转化成向量方程组来求解．本文提出了求解该向量方程组的几个预估一校正迭代格式，证明了这些迭代格式所产生的序列是严格单调递增且有上界，并收敛于向量方程组的最小正解．最后，给出了一些数值实验，实验结果表明，本文所提出的算法是有效的．
英文摘要：
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 predictor- corrector-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.
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