Computing several eigenpairs of Hermitian problems by conjugate gradient iterations

✍ Scribed by E.E. Ovtchinnikov

• Book ID: 104021852
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 815 KB
• Volume: 227
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1016/j.jcp.2008.06.038

✦ Synopsis

The paper is concerned with algorithms for computing several extreme eigenpairs of Hermitian problems based on the conjugate gradient method. We analyse computational strategies employed by various algorithms of this kind reported in the literature and identify their limitations. Our criticism is illustrated by numerical tests on a set of problems from electronic structure calculations and acoustics.