WebJan 1, 2014 · Our method is applicable for functions of Hermitian and non-Hermitian matrices, requires no a priori spectral information, and runs with essentially constant computational work per restart cycle. We comment on the relation of this new restarting approach to other existing algorithms and illustrate its efficiency and numerical stability by ... WebAbstract. We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large sparse matrix on a vector. Its effect is to ultimately deflate a specific invariant subspace of the matrix which most impedes the …
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WebSep 1, 2024 · Eiermann, M., O. Ernst, and S. Güttel, 2011: Deflated restarting for matrix functions. ... We implement the matrix function method and compare the performance results with both S17 as well as the parallel augmented-state method of AC07. As a proof-of-concept application, we test this method on the difficult, highly nonlinear case of first ... http://www.sciweavers.org/publications/deflated-restarting-matrix-functions does the sultan of brunei have a harem
A shifted block FOM algorithm with deflated restarting …
WebApr 1, 2011 · Deflated Restarting for Matrix Functions 9 is a polynomial of de gree jm − ` and there holds range Y ( j ) V ( j +1) = K m ( A, r jm − ` ( A ) b ) . WebAug 1, 2024 · A class of efficient block Krylov subspace methods tailored precisely to the evaluation of a matrix function on not just one but multiple vectors is developed, demonstrating the power and versatility of this new class of methods for a variety of matrix-valued inner products, functions, and matrices. 43. PDF. View 2 excerpts, cites methods. WebDeflated restarting for matrix functions. SIAM J. MATRIX ANAL. APPL., 32(2): 621--641, 2011. Google Scholar Cross Ref; N. Higham. The scaling and squaring method for the matrix exponential revisited. SIAM Journal on Matrix Analysis and Applications, 26(4): 1179--1196, 2005. Google Scholar Digital Library; does the suez canal have any locks