若干Krylov子空间方法及应用比较

Comparison of Several Krylov Subspace Methods and Their Applications

文章首先介绍Krylov子空间方法类算法中最具代表性的几种算法:CGNR算法、GMRES算法、BiCG算法、CGS算法、BiCGSTAB算法及QMR算法等;其次讨论这几种算法之间的关系及各自的优点与不足;最后针对某一类数值算例来验证所得结论的正确性。

Several representative algorithms of Krylov subspace are introduced in the paper,such as CGNR algorithm,GMRES algorithm,BiCG algorithm,CGS algorithm,BiCGSTAB algorithm and QMR algorithm.Then the relationships among these algorithms and their advantages and deficiencie are discusssed.Finally,some numerical examples are used to verify the correctness of the conclusions.