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...
Krylov subspace methods are iterative methods that have the phenomena known as "semi-convergence," i.e., the optimal regularization solution is obtained after a few iterations. If the iteration is not stopped, the method converges to a solution that generally is totally corrupted ...
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...
method for integrating the filtered Navier-Stokes equations with a stabilized finite element method A generalized- α method is developed and analyzed for linear, first-order systems. The method is then extended to the filtered Navier–Stokes equations w... KE Jansen,CH Whiting,GM Hulbert - 《...
Krylovsubspaceiterationmethods,PCG,ATCGGMRES.Sometypicalnumericalexamplesaccelerationratiotestthreemethods.TestresultsshowthreeKrylovsubspaceiterationmethodscorrectlyresolvemultidimensionrecursiveequationssatisfiedaccelerationpropertyevenbiggerparallelscale.Keywords ParallelMultidimension Recursiveequations Krylovsubspaceiterationmethod ...
thatthesethreeKrylovsubspaceiterationmethodsareabletocorrectlyresolvethemultidimensionrecursiveequationswithsatisfied accelerationpropertyevenintheconditionofbiggerparallelscale. Keywords ParallelMultidimensionRecursiveequationsKrylovsubspaceiterationmethodPCGATCGGMRES 算及通信过程,往往可以获得相当好的并行加速比,然而对于块 0...
iterative methodparallel computingperformance modelsperformance 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 ...
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...
Krylov subspace method for linear systems, GMRES, with algorithms for nonlinear eigenvalue problems (NEPs) to generate a basis for the Krylov subspace. Wit... E Jarlebring,S Correnty 被引量: 0发表: 2021年 An equidistant parameterized Gauss–Seidel iteration method for a class of block two-...
Lin H,Chen L.Application of the Krylov subspace method to numerical heat transfer. Numerical Heat Transfer . 1996LIN H W, CHEN L D.Application of the Krylov subspace methods to numerical heat transfer [ J ] .Numerical Heat Transfer, 1996, 30 (3) :249唱270....