BIB-VERSION:: CS-TR-v2.0 ID:: STAN//NA-M-92-02 ENTRY:: January 28, 1996 ORGANIZATION:: Stanford University, Department of Computer Science, Numerical Analysis Project TITLE:: Recent advances in Lanczos-based iterative methods for nonsymmetric linear systems TYPE:: Manuscript AUTHOR:: Freund, Roland W. AUTHOR:: Golub, Gene H. AUTHOR:: Nachtigal, Noel M. DATE:: January 1992 PAGES:: 20 ABSTRACT:: In recent years, there has been a true revival of the nonsymmetric Lanczos method. On the one hand, the possible breakdowns in the classical algorithm are now better understood, and so-called look-ahead variants of the Lanczos process have been developed, which remedy this problem. On the other hand, various new Lanczos-based iterative schemes for solving nonsymmetric linear systems have been proposed. This paper gives a survey of some of these recent developments. NOTES:: [Adminitrivia V1/Prg/19960128] END:: STAN//NA-M-92-02