Condition numbers and backward perturbation bound for linear matrix equations

✍ Scribed by Xingdong Yang; Hua Dai; Qingquan He

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 110 KB
• Volume: 18
• Category: Article
• ISSN: 1070-5325
• DOI: 10.1002/nla.725

✦ Synopsis

This paper deals with the normwise perturbation theory for linear (Hermitian) matrix equations. The definition of condition number for the linear (Hermitian) matrix equations is presented. The lower and upper bounds for the condition number are derived. The estimation for the optimal backward perturbation bound for the Hermitian matrix equations is obtained.