Titlebook: Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing; EPASA 2015, Tsukuba, Tetsuya Sakurai,Shao-Liang Zhang,Ta

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Der methodologische Standpunkt der EC,re .(.) is an analytic matrix valued function, by several authors. To the best of the authors’ knowledge, existing derivations of these methods rely on canonical forms of an analytic matrix function such as the Smith form or the theorem of Keldysh. While these theorems are powerful tools, they requi

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Christina Holtz-Bacha,Eva-Maria LessingerLinear response eigenvalue problems arise from the calculation of excitation states of many-particle systems in computational materials science. In this paper, from the point of view of numerical linear algebra and matrix computations, we review the progress of linear response eigenvalue problems in theory and algorithms since 2012.

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1439-7358 novel numerical libraries for solving eigenvalue problems.In.This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the Internat

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envalue problems. Our strategy is based on an error bound of the eigensolver in the case that soft-errors like bit-flip occur. Using the error bound, we achieve an inherent error resilience of the eigensolver that does not require standard checkpointing and replication techniques in the most time-consuming part.

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