Krylov算法也是如此,全称是Krylov Subspace Methods 或者 Krylov Subspace Iteration Method。实际指的是,利用Krylov这种思想,用迭代的方式,建立一个合理的子空间,在这个子空间中求解矩阵运算的问题,从而来逼近要求的解。在不同的问题上,比如:线性方程组问题、还是特征值问题、还是广义特征值问题等,Krylov算法的形式都不...
The Implicitly Restarted Arnoldi Method (IRAM), a Krylov subspace iterative method, applied to k-eigenvalue calculations for criticality problems in deterministic transport codes is discussed. A computationally efficient alternative to the power iteration method that is typically used for such problems, ...
三、1950 Krylov子空间迭代法 [1950: Magnus Hestenes, Eduard Stiefel, and Cornelius Lanczos, all from the Institute for Numerical Analysis at the National Bureau of Standards, initiate the development of Krylov subspace iteration methods.] Krylov子空间方法在提高大型科学和工程计算效率上起着重要作用。 1...
The resulting system of equations is solved iteratively using a matrix-free Krylov subspace approach. Furthermore, we show how to generate unconditional ... AK Saibaba - 《Water Resources Research》 被引量: 50发表: 2012年 Asymptotics of small exterior Navier-Stokes flows with non-decaying boundar...
In our method, we construct on each iteration a Krylov subspace formed by the gradient and an approximation to the Hessian matrix, and then use a subset of the training data samples to optimize over this subspace. As with the Hessian Free (HF) method of [7], the Hessian matrix is never...
defarnoldi_iteration(A, b, n:int): """Compute a basis of the (n + 1)-Krylov subspace of the matrix A. This is the space spanned by the vectors {b, Ab, ..., A^n b}. Parameters --- A : array_like An m × m array. b : array...
关键词 并行 多维 递归方程组 Krylov 子空间迭代法 PCG ATCG GMRES 中图分类号 TN401 DOI:10.3969issn.1000386x.2012.11.022THREEKRYLOVSUBSPACEITERATIONMETHODSFORPARALLELCOMPUTATIONOFMULTIDIMENSIONRECURSIVEEQUATIONSLiFang YinWanwang LiuXin LuLinsheng(JiangnanInstituteComputingTechnology,Wuxi214083,Jiangsu,China)Abstract ...
In order to reduce the computational complexity of DOA estimation algorithms and improve their estimation accuracy under large array elements, this paper proposes a DOA estimation method based on Krylov subspace and weighted l1...
试验表明这三种Krylov子空间 迭代法在并行规模较大的情况下,均能够正确求解多维递归方程组,并且加速特性良好。 关键词 并行 多维 递归方程组 Krylov子空间迭代法 PCGATCGGMRES 中图分类号 TN401 文献标识码 A DOI:10.3969/j.issn.1000386x.2012.11.022 THREEKRYLOVSUBSPACEITERATIONMETHODSFORPARALLELCOMPUTATION OF...
performance portabilityLarge﹕cale problems in engineering and science often require the solution of sparse linear algebra problems and the Krylov subspace iteration methods (KM) have led to a major change in how users deal with them. But, for these solvers to use extreme﹕cale hardware efficiently...