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论文类型：会议论文

发表时间：2007-01-09

收录刊物：EI、Scopus

卷号：80 LNEE

页面范围：109-122

摘要：This paper concerns the mixed-type Lyapunov equation where and are complex matrices and the conjugate transpose of a matrix A perturbation bound for the solution to this matrix equation is derived, an explicit expression of the condition number is obtained, and the backward error of an approximate solution is evaluated by using the techniques developed in Sun (Linear Algebra Appl 259:183-208, 1997), Sun and Xu (Linear Algebra Appl 362:211-228, 2003). The results are illustrated by using some numerical examples. ? 2011 Springer Science+Business Media B.V.