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Pregled bibliografske jedinice broj: 986260

Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems


Anzt, Hartwig; Flegar, Goran; Novaković, Vedran; Quintana-Ortí, Enrique S.; Tomás, Andrés E.
Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems // ISC High Performance 2018: High Performance Computing / Yokota, Rio ; Weiland Michèle ; Shalf, John ; Alam, Sadaf (ur.).
Cham: Springer, 2018. str. 554-561 doi:10.1007/978-3-030-02465-9_39


CROSBI ID: 986260 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems

Autori
Anzt, Hartwig ; Flegar, Goran ; Novaković, Vedran ; Quintana-Ortí, Enrique S. ; Tomás, Andrés E.

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
ISC High Performance 2018: High Performance Computing

Urednik/ci
Yokota, Rio ; Weiland Michèle ; Shalf, John ; Alam, Sadaf

Izdavač
Springer

Grad
Cham

Godina
2018

Raspon stranica
554-561

ISBN
978-3-030-02464-2

ISSN
0302-9743

Ključne riječi
Sparse linear systems ; Krylov solvers Iterative refinement ; Mixed precision ; Residual replacement ; Performance and energy modelling

Sažetak
We investigate the solution of sparse linear systems via iterative methods based on Krylov subspaces. Concretely, we combine the use of extended precision in the outer iterative refinement with a reduced precision in the inner Conjugate Gradient solver. This method is additionally enhanced with different residual replacement strategies that aim to avoid the pitfalls due to the divergence between the actual residual and the recurrence formula for this parameter computed during the iteration. Our experiments using a significant part of the SuiteSparse Matrix Collection illustrate the potential benefits of this technique from the point of view, for example, of energy and performance.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo



POVEZANOST RADA


Profili:

Avatar Url Vedran Novaković (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com

Citiraj ovu publikaciju:

Anzt, Hartwig; Flegar, Goran; Novaković, Vedran; Quintana-Ortí, Enrique S.; Tomás, Andrés E.
Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems // ISC High Performance 2018: High Performance Computing / Yokota, Rio ; Weiland Michèle ; Shalf, John ; Alam, Sadaf (ur.).
Cham: Springer, 2018. str. 554-561 doi:10.1007/978-3-030-02465-9_39
Anzt, H., Flegar, G., Novaković, V., Quintana-Ortí, E. & Tomás, A. (2018) Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems. U: Yokota, R., Weiland Michèle, Shalf, J. & Alam, S. (ur.) ISC High Performance 2018: High Performance Computing. Cham, Springer, str. 554-561 doi:10.1007/978-3-030-02465-9_39.
@inbook{inbook, author = {Anzt, Hartwig and Flegar, Goran and Novakovi\'{c}, Vedran and Quintana-Ort\'{\i}, Enrique S. and Tom\'{a}s, Andr\'{e}s E.}, year = {2018}, pages = {554-561}, DOI = {10.1007/978-3-030-02465-9\_39}, keywords = {Sparse linear systems, Krylov solvers Iterative refinement, Mixed precision, Residual replacement, Performance and energy modelling}, doi = {10.1007/978-3-030-02465-9\_39}, isbn = {978-3-030-02464-2}, issn = {0302-9743}, title = {Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems}, keyword = {Sparse linear systems, Krylov solvers Iterative refinement, Mixed precision, Residual replacement, Performance and energy modelling}, publisher = {Springer}, publisherplace = {Cham} }
@inbook{inbook, author = {Anzt, Hartwig and Flegar, Goran and Novakovi\'{c}, Vedran and Quintana-Ort\'{\i}, Enrique S. and Tom\'{a}s, Andr\'{e}s E.}, year = {2018}, pages = {554-561}, DOI = {10.1007/978-3-030-02465-9\_39}, keywords = {Sparse linear systems, Krylov solvers Iterative refinement, Mixed precision, Residual replacement, Performance and energy modelling}, doi = {10.1007/978-3-030-02465-9\_39}, isbn = {978-3-030-02464-2}, issn = {0302-9743}, title = {Residual Replacement in Mixed-Precision Iterative Refinement for Sparse Linear Systems}, keyword = {Sparse linear systems, Krylov solvers Iterative refinement, Mixed precision, Residual replacement, Performance and energy modelling}, publisher = {Springer}, publisherplace = {Cham} }

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  • Scopus


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