Deflation of eigenvalues for iterative methods in lattice QCD

✍ Scribed by Dean Darnell; Ronald B. Morgan; Walter Wilcox

• Book ID: 104354803
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 288 KB
• Volume: 129-130
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)02734-8

✦ Synopsis

Work on generalizing

the deflated, restarted GMRES algorithm, useful in lattice studies using stochastic noise methods, is reported. We first show how the multi-mass extension of deflated GMRES can be implemented.

We then give a deflated GMRES method that can be used on multiple right-hand sides of Az = b in an efficient manner. We also discuss and give numerical results on the possibilty of combining deflated GMRES for the first right hand side with a deflated BiCGStab algorithm for the subsequent right hand sides.