Finite sections method for Hessenberg matrices

✍ Scribed by Leonel Robert; Luis Santiago

• Book ID: 104142828
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 239 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1016/s0021-9045(03)00067-4

✦ Synopsis

Let D be a Hessenberg matrix and D the closed operator associated to it. In this work, we study the approximation of the resolvent of D by the resolvents of the truncated matrices D n of D: A concept of determinacy is introduced analogous to the one for Jacobi matrices. We apply our results to some questions in rational approximation.