Deflated version of the conjugate gradient algorithm

Y. Saad, M. Yeung, J. Erhel, F. Guyomarc'h

Research output: Contribution to journalArticlepeer-review

157 Scopus citations


We present a deflated version of the conjugate gradient algorithm for solving linear systems. The new algorithm can be useful in cases when a small number of eigenvalues of the iteration matrix are very close to the origin. It can also be useful when solving linear systems with multiple right-hand sides, since the eigenvalue information gathered from solving one linear system can be recycled for solving the next systems and then updated.

Original languageEnglish (US)
Pages (from-to)1909-1926
Number of pages18
JournalUnknown Journal
Issue number5
StatePublished - Apr 2000


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