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pro vyhledávání: '"Berljafa, Mario"'
Autor:
Berljafa, Mario
Numerical methods based on rational Krylov spaces have become an indispensable tool of scientific computing. In this thesis we study rational Krylov spaces by considering rational Krylov decompositions; matrix relations which, under certain condition
Externí odkaz:
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.728170
In many scientific applications the solution of non-linear differential equations are obtained through the set-up and solution of a number of successive eigenproblems. These eigenproblems can be regarded as a sequence whenever the solution of one pro
Externí odkaz:
http://arxiv.org/abs/1404.4161
Autor:
Berljafa, Mario, Di Napoli, Edoardo
In one of the most important methods in Density Functional Theory - the Full-Potential Linearized Augmented Plane Wave (FLAPW) method - dense generalized eigenproblems are organized in long sequences. Moreover each eigenproblem is strongly correlated
Externí odkaz:
http://arxiv.org/abs/1305.5120
Autor:
Di Napoli, Edoardo, Berljafa, Mario
In Density Functional Theory simulations based on the LAPW method, each self-consistent field cycle comprises dozens of large dense generalized eigenproblems. In contrast to real-space methods, eigenpairs solving for problems at distinct cycles have
Externí odkaz:
http://arxiv.org/abs/1206.3768
Autor:
Berljafa, Mario, Guettel, Stefan
Publikováno v:
Berljafa, M & Guettel, S 2017, ' Parallelization of the rational Arnoldi algorithm ', SIAM Journal on Scientific Computing . https://doi.org/10.1137/16M1079178
Rational Krylov methods are applicable to a wide range of scientific computing problems, and the rational Arnoldi algorithm is a commonly used procedure for computing an orthonormal basis of a rational Krylov space. Typically, the computationally mos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3818::3e5fafdd51b1b3f2e8c70536e0a06fb2
https://www.research.manchester.ac.uk/portal/en/publications/parallelization-of-the-rational-arnoldi-algorithm(0ba5f9b9-7815-4584-bf9a-a57db4d86b1e).html
https://www.research.manchester.ac.uk/portal/en/publications/parallelization-of-the-rational-arnoldi-algorithm(0ba5f9b9-7815-4584-bf9a-a57db4d86b1e).html
Autor:
Berljafa, Mario, Güttel, Stefan
Publikováno v:
Berljafa, M & Güttel, S 2017, ' The RKFIT algorithm for nonlinear rational approximation ', SIAM Journal on Scientific Computing, vol. 39, no. 5, pp. A2049-A2071 . https://doi.org/10.1137/15M1025426
The RKFIT algorithm outlined in [M. Berljafa and S. Guttel, Generalized rational Krylov decompositions with an application to rational approximation, SIAM J. Matrix Anal. Appl., 2015] is a Krylov-based approach for solving nonlinear rational least s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3818::c89fd6ca0ccf43d9a4297223f87a7b5e
https://doi.org/10.1137/15M1025426
https://doi.org/10.1137/15M1025426
Publikováno v:
SIAM Conference on Parallel Processing for Scientific Computing, PP16, Paris, France, 2016-04-12-2016-04-15
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3364::61a823c056a672fe0ecbcb7e78701c19
https://hdl.handle.net/2128/10313
https://hdl.handle.net/2128/10313
Publikováno v:
SIAM Conference on Computational Science & Engineering, SIAM CSE 15, Salt Lake City, USA, 2015-03-14-2015-03-18
In LAPW-based methods a sequence of dense generalized eigenvalue problems appears. Traditionally these problems were solved using direct eigensolvers from standard libraries like ScaLAPACK. We developed a subspace iteration method pre-conditioned wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3364::af2aca5d8cd7deda7fcfda5217794433
https://juser.fz-juelich.de/record/189021
https://juser.fz-juelich.de/record/189021
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