非对称多右端线性方程组的积混合块GMRES算法

A Product Hybrid Block GMRES Algorithm for Solving Unsymmetric Shifted Systerm of Linear Equations with Multiple Right-hand Sides

在对块GMRES算法及其性质进行研究的过程中,发现块GMRES算法具有互相补足的性质,由此产生一种新算法——积混合块GMRES算法(PHBGMRES)。数值试验表明,新算法比混合BGMRES在残量收敛方面具有明显的优势。

During the study of block GMRES algorithm and its properties,we observed that the block GMRES algorithm has the property of cross explement which can product a new algorithm that is product hybrid block GMRES one(PHBGMRES).Numerical experiments show that the new algorithm can offer significant improvement over the hybrid BGMRES in the residual convergence.