本篇論文的內容主要在描述：在一個非對稱代數黎卡迪方程中，在適當的限制條件下，我們將可得到一個唯一的最小非負解，利用保持結構平方演算法(Structure-Preserving Doubling Algorithm)，我們可以找出此解。
並且我們知道經由此演算法所求得最小非負解的過程為二次收歛，再比較其他現有的演算法解非對稱代數黎卡迪方程，保持結構平方演算法大幅縮短計算機求解的所需時間。

In this paper we consider the nonsymmetric algebraic Riccati
equation (NARE) for which the four coefficient matrices form an M-matrix. Nonsymmetric algebraic Riccati equations of this type appear in applied probability and transport theory. The minimal nonnegative solution of these equations can be found by a structure-preserving doubling algorithm (SDA).

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