期刊论文

Huang, Yunqing

英文

应用数学与力学进展

2070-0733

2018

10

6

1327-1343

10.4208/aamm.OA-2018-0012

The work of B. Tang was supported partly by Hunan Provincial Innovation Foundation for Postgraduate (No. CX2016B249) and Hunan Provincial Natural Science Foundation of China (No. 2018JJ3019). The work of N. Dong was supported partly by the Hunan Provincial Natural Science Foundation of China (Nos. 14JJ2114, 2017JJ2071) and the Excellent Youth Foundation and General Foundation of Hunan Educational Department (Nos. 17B071, 17C0466).

本校为其他机构

We consider computing the minimal nonnegative solution of the nonsymmetric algebraic Riccati equation with M-matrix. It is well known that such equations can be efficiently solved via the structure-preserving doubling algorithm (SDA) with the shift-and-shrink transformation or the generalized Cayley transformation. In this paper, we propose a more generalized transformation of which the shift-and-shrink transformation and the generalized Cayley transformation could be viewed as two special cases. Meanwhile, the doubling algorithm based on the p...