Magni "Krylov space methods on state-space control models", Circuits, Syst. Signal Process. , vol. 13, no. 6, pp.733 -758 1994D. L. Boley "Krylov space methods on state-space control models", Circuits Systems and Signal Processing , vol. 13, no. 6...
Parameters --- A : array_like An m × m array. b : array_like Initial vector (length m). n : int One less than the dimension of the Krylov subspace, or equivalently the *degree* of the Krylov space. Must be >= 1. Returns --- Q : numpy.array An m x (n + 1) array, whe...
Martin H. Gutknecht Block Krylov Space Solvers: a Survey Block Krylov space methods We seek approximate solutions of the form x n ∈ x 0 +B n (A, r 0 ) , (3) where the block Krylov space B n :≡ B n (A, r 0 ) is defined by B n (A, r 0 ) :≡ block span (r ...
关键词: Acceleration Computational electromagnetics Equations Finite difference methods Graphics Iterative methods Space technology Sparse matrices Time domain analysis Vectors 会议名称: 18-th INTERNATIONAL CONFERENCE ON MICROWAVES, RADAR AND WIRELESS COMMUNICATIONS ...
(1990),pp.656–694.KelleyKrylovMethodsKrylovMethodsOverviewGMRESConjugateGradientIterationOtherKrylovMethodsPreconditioningExercisesKrylovMethodsKryloviterativemethodsobtaintheorydoresidualfunctionoveraffinespaceinitialiteratekthKrylovsubspaceKelleyKrylovMethodsKrylovMethodsOverviewGMRESConjugateGradientIterationOtherKrylovMethods...
Designing and planning three-dimensional spaces is more left-brained, but when I was presenting architectural projects, I would sketch to help my clients visualize the space and how people would experience it. It’s more immediate than computer renderings and also much more fun. I became a ...
Though the structure of block Krylov subspaces is more complicated than that of ordinary Krylov subspaces, we introduce here a block grade for which an analogous statement holds when block Krylov space methods are applied to linear systems with multiple, say s, right-hand sides. In this case, ...
These methods are designed to efficiently compute approximate solutions to largelinear systems by iteratively building a subspace of the Krylov space generated by the matrix. 一种分类Krylov子空间方法的方法是基于使用的矩阵-向量乘法的类型。例如,共轭梯度法是一种Krylov子空间方法,它使用对称正定矩阵,而广义...
Abstract: Fast and effective decomposition of subspace is important to the engineering application of subspace-based algorithms.A new form of the desired signal is presented,and that in the context of space-time white noise the Krylov subspace of both the covariance matrix of the observation signal...
space dimension n o r m o f r e s i d u a l k = ∞ k = 5 (-): r ⊥ L m (- -): r ⊥ loc L m k gives “locality” Krylov subspace methods – p. 6 Relaxing optimality in L m . Truncation Example: A is non-normal, more “nasty” L m = AK m 0 10 20 30...