Residuals of refined projection methods for large matrix eigenproblems

✍ Scribed by Zhongxiao Jia

• Book ID: 104351969
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 577 KB
• Volume: 41
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00321-7

✦ Synopsis

In terms of the deviation of the eigenvector cp from a projection subspace E, a priori error bounds are established for the residual norm of an approximate eigenpair obtained by a refined projection method. It is shown that the residual converges to zero as the deviation tends to zero. Finally, how to efficiently compute refined Ritz vectors is discussed in the refined symmetric Lanczos method.