• SOME METHODS OF KRYLOV SUBSPACE AND IT’S COMPARISON IN APPLICATION

CHEN XIAOHUA*, WANG LI, XIN YINPING, LIU SHUO

Abstract


In this paper, we mainly introduce several kinds of the Krylov subspace algorithms, the most representative are: CGNR algorithm, GMRES algorithm, BiCG algorithm, CGS algorithm, BiCGSTAB algorithm and QMR algorithm, and discuss the relationships between these algorithms and their respective advantages and disadvantages, and finally verify the correctness of the conclusions for a class of numerical examples.


Keywords


Krylov subspace methods; WQMR algorithm; CGNR algorithm.

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