Inexact newton preconditioning techniques for large symmetric eigenvalue problems

Kesheng Wu, Yousef Saad, Andreas Stathopoulos

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

This paper studies a number of Newton methods and use them to define new secondary linear systems of equations for the Davidson eigenvalue method. The new secondary equations avoid some common pitfalls of the existing ones such as the correction equation and the Jacobi-Davidson preconditioning. We will also demonstrate that the new schemes can be used efficiently in test problems.

Original languageEnglish (US)
Pages (from-to)202-214
Number of pages13
JournalElectronic Transactions on Numerical Analysis
Volume7
StatePublished - Dec 1 1998

Keywords

  • Newton method
  • Preconditioning for eigenvalue method
  • Sparse matrix eigenvalue problem

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