---
_id: '21'
abstract:
- lang: eng
text: "We address the general mathematical problem of computing the inverse p-th\r\nroot
of a given matrix in an efficient way. A new method to construct iteration\r\nfunctions
that allow calculating arbitrary p-th roots and their inverses of\r\nsymmetric
positive definite matrices is presented. We show that the order of\r\nconvergence
is at least quadratic and that adaptively adjusting a parameter q\r\nalways leads
to an even faster convergence. In this way, a better performance\r\nthan with
previously known iteration schemes is achieved. The efficiency of the\r\niterative
functions is demonstrated for various matrices with different\r\ndensities, condition
numbers and spectral radii."
author:
- first_name: Dorothee
full_name: Richters, Dorothee
last_name: Richters
- first_name: Michael
full_name: Lass, Michael
id: '24135'
last_name: Lass
orcid: 0000-0002-5708-7632
- first_name: Andrea
full_name: Walther, Andrea
last_name: Walther
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
citation:
ama: Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate
the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications
in Computational Physics. 2019;25(2):564-585. doi:10.4208/cicp.OA-2018-0053
apa: Richters, D., Lass, M., Walther, A., Plessl, C., & Kühne, T. (2019). A
General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive
Definite Matrices. Communications in Computational Physics, 25(2),
564–585. https://doi.org/10.4208/cicp.OA-2018-0053
bibtex: '@article{Richters_Lass_Walther_Plessl_Kühne_2019, title={A General Algorithm
to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices},
volume={25}, DOI={10.4208/cicp.OA-2018-0053},
number={2}, journal={Communications in Computational Physics}, publisher={Global
Science Press}, author={Richters, Dorothee and Lass, Michael and Walther, Andrea
and Plessl, Christian and Kühne, Thomas}, year={2019}, pages={564–585} }'
chicago: 'Richters, Dorothee, Michael Lass, Andrea Walther, Christian Plessl, and
Thomas Kühne. “A General Algorithm to Calculate the Inverse Principal P-Th Root
of Symmetric Positive Definite Matrices.” Communications in Computational Physics
25, no. 2 (2019): 564–85. https://doi.org/10.4208/cicp.OA-2018-0053.'
ieee: 'D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm
to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,”
Communications in Computational Physics, vol. 25, no. 2, pp. 564–585, 2019,
doi: 10.4208/cicp.OA-2018-0053.'
mla: Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal
P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational
Physics, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:10.4208/cicp.OA-2018-0053.
short: D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in
Computational Physics 25 (2019) 564–585.
date_created: 2017-07-25T14:48:26Z
date_updated: 2023-09-26T11:45:02Z
department:
- _id: '27'
- _id: '518'
- _id: '304'
- _id: '104'
doi: 10.4208/cicp.OA-2018-0053
external_id:
arxiv:
- '1703.02456'
intvolume: ' 25'
issue: '2'
language:
- iso: eng
page: 564-585
project:
- _id: '32'
grant_number: PL 595/2-1 / 320898746
name: Performance and Efficiency in HPC with Custom Computing
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Communications in Computational Physics
publisher: Global Science Press
quality_controlled: '1'
status: public
title: A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric
Positive Definite Matrices
type: journal_article
user_id: '15278'
volume: 25
year: '2019'
...
---
_id: '12871'
author:
- first_name: Marco
full_name: Platzner, Marco
id: '398'
last_name: Platzner
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: Platzner M, Plessl C. FPGAs im Rechenzentrum. Informatik Spektrum. Published
online 2019. doi:10.1007/s00287-019-01187-w
apa: Platzner, M., & Plessl, C. (2019). FPGAs im Rechenzentrum. Informatik
Spektrum. https://doi.org/10.1007/s00287-019-01187-w
bibtex: '@article{Platzner_Plessl_2019, title={FPGAs im Rechenzentrum}, DOI={10.1007/s00287-019-01187-w},
journal={Informatik Spektrum}, author={Platzner, Marco and Plessl, Christian},
year={2019} }'
chicago: Platzner, Marco, and Christian Plessl. “FPGAs im Rechenzentrum.” Informatik
Spektrum, 2019. https://doi.org/10.1007/s00287-019-01187-w.
ieee: 'M. Platzner and C. Plessl, “FPGAs im Rechenzentrum,” Informatik Spektrum,
2019, doi: 10.1007/s00287-019-01187-w.'
mla: Platzner, Marco, and Christian Plessl. “FPGAs im Rechenzentrum.” Informatik
Spektrum, 2019, doi:10.1007/s00287-019-01187-w.
short: M. Platzner, C. Plessl, Informatik Spektrum (2019).
date_created: 2019-07-22T12:42:44Z
date_updated: 2023-09-26T11:45:57Z
ddc:
- '004'
department:
- _id: '27'
- _id: '518'
- _id: '78'
doi: 10.1007/s00287-019-01187-w
file:
- access_level: open_access
content_type: application/pdf
creator: plessl
date_created: 2019-07-22T12:45:02Z
date_updated: 2019-07-22T12:45:02Z
file_id: '12872'
file_name: plessl19_informatik_spektrum.pdf
file_size: 248360
relation: main_file
file_date_updated: 2019-07-22T12:45:02Z
has_accepted_license: '1'
language:
- iso: ger
license: https://creativecommons.org/licenses/by/4.0/
oa: '1'
publication: Informatik Spektrum
publication_identifier:
issn:
- 0170-6012
- 1432-122X
publication_status: published
quality_controlled: '1'
status: public
title: FPGAs im Rechenzentrum
type: journal_article
user_id: '15278'
year: '2019'
...
---
_id: '20'
abstract:
- lang: eng
text: "Approximate computing has shown to provide new ways to improve performance\r\nand
power consumption of error-resilient applications. While many of these\r\napplications
can be found in image processing, data classification or machine\r\nlearning,
we demonstrate its suitability to a problem from scientific\r\ncomputing. Utilizing
the self-correcting behavior of iterative algorithms, we\r\nshow that approximate
computing can be applied to the calculation of inverse\r\nmatrix p-th roots which
are required in many applications in scientific\r\ncomputing. Results show great
opportunities to reduce the computational effort\r\nand bandwidth required for
the execution of the discussed algorithm, especially\r\nwhen targeting special
accelerator hardware."
author:
- first_name: Michael
full_name: Lass, Michael
id: '24135'
last_name: Lass
orcid: 0000-0002-5708-7632
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: Lass M, Kühne T, Plessl C. Using Approximate Computing for the Calculation
of Inverse Matrix p-th Roots. Embedded Systems Letters. 2018;10(2):33-36.
doi:10.1109/LES.2017.2760923
apa: Lass, M., Kühne, T., & Plessl, C. (2018). Using Approximate Computing for
the Calculation of Inverse Matrix p-th Roots. Embedded Systems Letters,
10(2), 33–36. https://doi.org/10.1109/LES.2017.2760923
bibtex: '@article{Lass_Kühne_Plessl_2018, title={Using Approximate Computing for
the Calculation of Inverse Matrix p-th Roots}, volume={10}, DOI={10.1109/LES.2017.2760923},
number={2}, journal={Embedded Systems Letters}, publisher={IEEE}, author={Lass,
Michael and Kühne, Thomas and Plessl, Christian}, year={2018}, pages={33–36} }'
chicago: 'Lass, Michael, Thomas Kühne, and Christian Plessl. “Using Approximate
Computing for the Calculation of Inverse Matrix P-Th Roots.” Embedded Systems
Letters 10, no. 2 (2018): 33–36. https://doi.org/10.1109/LES.2017.2760923.'
ieee: M. Lass, T. Kühne, and C. Plessl, “Using Approximate Computing for the Calculation
of Inverse Matrix p-th Roots,” Embedded Systems Letters, vol. 10, no. 2,
pp. 33–36, 2018.
mla: Lass, Michael, et al. “Using Approximate Computing for the Calculation of Inverse
Matrix P-Th Roots.” Embedded Systems Letters, vol. 10, no. 2, IEEE, 2018,
pp. 33–36, doi:10.1109/LES.2017.2760923.
short: M. Lass, T. Kühne, C. Plessl, Embedded Systems Letters 10 (2018) 33–36.
date_created: 2017-07-25T14:41:08Z
date_updated: 2022-01-06T06:54:18Z
department:
- _id: '27'
- _id: '518'
- _id: '304'
doi: 10.1109/LES.2017.2760923
external_id:
arxiv:
- '1703.02283'
intvolume: ' 10'
issue: '2'
language:
- iso: eng
page: ' 33-36'
project:
- _id: '32'
grant_number: PL 595/2-1
name: Performance and Efficiency in HPC with Custom Computing
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Embedded Systems Letters
publication_identifier:
eissn:
- 1943-0671
issn:
- 1943-0663
publication_status: published
publisher: IEEE
status: public
title: Using Approximate Computing for the Calculation of Inverse Matrix p-th Roots
type: journal_article
user_id: '16153'
volume: 10
year: '2018'
...
---
_id: '5414'
author:
- first_name: Tasneem
full_name: Filmwala, Tasneem
last_name: Filmwala
citation:
ama: Filmwala T. Study Effects of Approximation on Conjugate Gradient Algorithm
and Accelerate It on FPGA Platform. Universität Paderborn; 2018.
apa: Filmwala, T. (2018). Study Effects of Approximation on Conjugate Gradient
Algorithm and Accelerate it on FPGA Platform. Universität Paderborn.
bibtex: '@book{Filmwala_2018, title={Study Effects of Approximation on Conjugate
Gradient Algorithm and Accelerate it on FPGA Platform}, publisher={Universität
Paderborn}, author={Filmwala, Tasneem}, year={2018} }'
chicago: Filmwala, Tasneem. Study Effects of Approximation on Conjugate Gradient
Algorithm and Accelerate It on FPGA Platform. Universität Paderborn, 2018.
ieee: T. Filmwala, Study Effects of Approximation on Conjugate Gradient Algorithm
and Accelerate it on FPGA Platform. Universität Paderborn, 2018.
mla: Filmwala, Tasneem. Study Effects of Approximation on Conjugate Gradient
Algorithm and Accelerate It on FPGA Platform. Universität Paderborn, 2018.
short: T. Filmwala, Study Effects of Approximation on Conjugate Gradient Algorithm
and Accelerate It on FPGA Platform, Universität Paderborn, 2018.
date_created: 2018-11-07T15:14:26Z
date_updated: 2022-01-06T07:01:52Z
department:
- _id: '27'
- _id: '518'
language:
- iso: eng
project:
- _id: '1'
name: SFB 901
- _id: '4'
name: SFB 901 - Project Area C
- _id: '14'
name: SFB 901 - Subproject C2
publisher: Universität Paderborn
status: public
supervisor:
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
title: Study Effects of Approximation on Conjugate Gradient Algorithm and Accelerate
it on FPGA Platform
type: mastersthesis
user_id: '477'
year: '2018'
...
---
_id: '5421'
author:
- first_name: Onkar
full_name: Gadewar, Onkar
last_name: Gadewar
citation:
ama: Gadewar O. Programmable Programs? - Designing FPGA Overlay Architectures
with OpenCL. Universität Paderborn; 2018.
apa: Gadewar, O. (2018). Programmable Programs? - Designing FPGA Overlay Architectures
with OpenCL. Universität Paderborn.
bibtex: '@book{Gadewar_2018, title={Programmable Programs? - Designing FPGA Overlay
Architectures with OpenCL}, publisher={Universität Paderborn}, author={Gadewar,
Onkar}, year={2018} }'
chicago: Gadewar, Onkar. Programmable Programs? - Designing FPGA Overlay Architectures
with OpenCL. Universität Paderborn, 2018.
ieee: O. Gadewar, Programmable Programs? - Designing FPGA Overlay Architectures
with OpenCL. Universität Paderborn, 2018.
mla: Gadewar, Onkar. Programmable Programs? - Designing FPGA Overlay Architectures
with OpenCL. Universität Paderborn, 2018.
short: O. Gadewar, Programmable Programs? - Designing FPGA Overlay Architectures
with OpenCL, Universität Paderborn, 2018.
date_created: 2018-11-07T16:16:56Z
date_updated: 2022-01-06T07:01:53Z
department:
- _id: '27'
- _id: '518'
language:
- iso: eng
project:
- _id: '1'
name: SFB 901
- _id: '4'
name: SFB 901 - Project Area C
- _id: '14'
name: SFB 901 - Subproject C2
publisher: Universität Paderborn
status: public
supervisor:
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
title: Programmable Programs? - Designing FPGA Overlay Architectures with OpenCL
type: mastersthesis
user_id: '477'
year: '2018'
...
---
_id: '6516'
author:
- first_name: Jan Cedric
full_name: Mertens, Jan Cedric
last_name: Mertens
- first_name: Alexander
full_name: Boschmann, Alexander
last_name: Boschmann
- first_name: M.
full_name: Schmidt, M.
last_name: Schmidt
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: Mertens JC, Boschmann A, Schmidt M, Plessl C. Sprint diagnostic with GPS and
inertial sensor fusion. Sports Engineering. 2018;21(4):441-451. doi:10.1007/s12283-018-0291-0
apa: Mertens, J. C., Boschmann, A., Schmidt, M., & Plessl, C. (2018). Sprint
diagnostic with GPS and inertial sensor fusion. Sports Engineering, 21(4),
441–451. https://doi.org/10.1007/s12283-018-0291-0
bibtex: '@article{Mertens_Boschmann_Schmidt_Plessl_2018, title={Sprint diagnostic
with GPS and inertial sensor fusion}, volume={21}, DOI={10.1007/s12283-018-0291-0},
number={4}, journal={Sports Engineering}, publisher={Springer Nature}, author={Mertens,
Jan Cedric and Boschmann, Alexander and Schmidt, M. and Plessl, Christian}, year={2018},
pages={441–451} }'
chicago: 'Mertens, Jan Cedric, Alexander Boschmann, M. Schmidt, and Christian Plessl.
“Sprint Diagnostic with GPS and Inertial Sensor Fusion.” Sports Engineering
21, no. 4 (2018): 441–51. https://doi.org/10.1007/s12283-018-0291-0.'
ieee: J. C. Mertens, A. Boschmann, M. Schmidt, and C. Plessl, “Sprint diagnostic
with GPS and inertial sensor fusion,” Sports Engineering, vol. 21, no.
4, pp. 441–451, 2018.
mla: Mertens, Jan Cedric, et al. “Sprint Diagnostic with GPS and Inertial Sensor
Fusion.” Sports Engineering, vol. 21, no. 4, Springer Nature, 2018, pp.
441–51, doi:10.1007/s12283-018-0291-0.
short: J.C. Mertens, A. Boschmann, M. Schmidt, C. Plessl, Sports Engineering 21
(2018) 441–451.
date_created: 2019-01-08T17:44:43Z
date_updated: 2022-01-06T07:03:09Z
ddc:
- '000'
department:
- _id: '27'
- _id: '518'
doi: 10.1007/s12283-018-0291-0
file:
- access_level: closed
content_type: application/pdf
creator: plessl
date_created: 2019-01-08T17:47:06Z
date_updated: 2019-01-08T17:47:06Z
file_id: '6517'
file_name: plessl18_sportseng.pdf
file_size: 2141021
relation: main_file
file_date_updated: 2019-01-08T17:47:06Z
has_accepted_license: '1'
intvolume: ' 21'
issue: '4'
language:
- iso: eng
page: 441-451
publication: Sports Engineering
publication_identifier:
issn:
- 1369-7072
- 1460-2687
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Sprint diagnostic with GPS and inertial sensor fusion
type: journal_article
user_id: '16153'
volume: 21
year: '2018'
...
---
_id: '5417'
abstract:
- lang: eng
text: "Molecular Dynamic (MD) simulations are computationally intensive and accelerating
them using specialized hardware is a topic of investigation in many studies. One
of the routines in the critical path of MD simulations is the three-dimensional
Fast Fourier Transformation (FFT3d). The potential in accelerating FFT3d using
hardware is usually bound by bandwidth and memory. Therefore, designing a high
throughput solution for an FPGA that overcomes this problem is challenging.\r\nIn
this thesis, the feasibility of offloading FFT3d computations to FPGA implemented
using OpenCL is investigated. In order to mask the latency in memory access, an
FFT3d that overlaps computation with communication is designed. The implementa-
tion of this design is synthesized for the Arria 10 GX 1150 FPGA and evaluated
with the FFTW benchmark. Analysis shows a better performance using FPGA over CPU
for larger FFT sizes, with the 643 FFT showing a 70% improvement in runtime using
FPGAs.\r\nThis FFT3d design is integrated with CP2K to explore the potential in
accelerating molecular dynamic simulations. Evaluation of CP2K simulations using
FPGA shows a 41% improvement in runtime in FFT3d computations over CPU for larger
FFT3d designs."
author:
- first_name: Arjun
full_name: Ramaswami, Arjun
id: '49171'
last_name: Ramaswami
orcid: https://orcid.org/0000-0002-0909-1178
citation:
ama: Ramaswami A. Accelerating Molecular Dynamic Simulations by Offloading Fast
Fourier Transformations to FPGA. Universität Paderborn; 2018.
apa: Ramaswami, A. (2018). Accelerating Molecular Dynamic Simulations by Offloading
Fast Fourier Transformations to FPGA. Universität Paderborn.
bibtex: '@book{Ramaswami_2018, title={Accelerating Molecular Dynamic Simulations
by Offloading Fast Fourier Transformations to FPGA}, publisher={Universität Paderborn},
author={Ramaswami, Arjun}, year={2018} }'
chicago: Ramaswami, Arjun. Accelerating Molecular Dynamic Simulations by Offloading
Fast Fourier Transformations to FPGA. Universität Paderborn, 2018.
ieee: A. Ramaswami, Accelerating Molecular Dynamic Simulations by Offloading
Fast Fourier Transformations to FPGA. Universität Paderborn, 2018.
mla: Ramaswami, Arjun. Accelerating Molecular Dynamic Simulations by Offloading
Fast Fourier Transformations to FPGA. Universität Paderborn, 2018.
short: A. Ramaswami, Accelerating Molecular Dynamic Simulations by Offloading Fast
Fourier Transformations to FPGA, Universität Paderborn, 2018.
date_created: 2018-11-07T16:08:32Z
date_updated: 2022-01-12T16:32:23Z
ddc:
- '000'
department:
- _id: '27'
- _id: '518'
file:
- access_level: closed
content_type: application/pdf
creator: arjunr
date_created: 2020-06-15T11:29:38Z
date_updated: 2020-06-15T11:29:38Z
file_id: '17093'
file_name: masterthesis.pdf
file_size: 1297585
relation: main_file
success: 1
file_date_updated: 2020-06-15T11:29:38Z
has_accepted_license: '1'
keyword:
- 'FFT: FPGA'
- CP2K
- OpenCL
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
main_file_link:
- open_access: '1'
oa: '1'
project:
- _id: '1'
name: SFB 901
- _id: '4'
name: SFB 901 - Project Area C
- _id: '14'
name: SFB 901 - Subproject C2
publisher: Universität Paderborn
status: public
supervisor:
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
title: Accelerating Molecular Dynamic Simulations by Offloading Fast Fourier Transformations
to FPGA
type: mastersthesis
user_id: '49171'
year: '2018'
...
---
_id: '1588'
abstract:
- lang: eng
text: The exploration of FPGAs as accelerators for scientific simulations has so
far mostly been focused on small kernels of methods working on regular data structures,
for example in the form of stencil computations for finite difference methods.
In computational sciences, often more advanced methods are employed that promise
better stability, convergence, locality and scaling. Unstructured meshes are shown
to be more effective and more accurate, compared to regular grids, in representing
computation domains of various shapes. Using unstructured meshes, the discontinuous
Galerkin method preserves the ability to perform explicit local update operations
for simulations in the time domain. In this work, we investigate FPGAs as target
platform for an implementation of the nodal discontinuous Galerkin method to find
time-domain solutions of Maxwell's equations in an unstructured mesh. When maximizing
data reuse and fitting constant coefficients into suitably partitioned on-chip
memory, high computational intensity allows us to implement and feed wide data
paths with hundreds of floating point operators. By decoupling off-chip memory
accesses from the computations, high memory bandwidth can be sustained, even for
the irregular access pattern required by parts of the application. Using the Intel/Altera
OpenCL SDK for FPGAs, we present different implementation variants for different
polynomial orders of the method. In different phases of the algorithm, either
computational or bandwidth limits of the Arria 10 platform are almost reached,
thus outperforming a highly multithreaded CPU implementation by around 2x.
author:
- first_name: Tobias
full_name: Kenter, Tobias
id: '3145'
last_name: Kenter
- first_name: Gopinath
full_name: Mahale, Gopinath
last_name: Mahale
- first_name: Samer
full_name: Alhaddad, Samer
id: '42456'
last_name: Alhaddad
- first_name: Yevgen
full_name: Grynko, Yevgen
id: '26059'
last_name: Grynko
- first_name: Christian
full_name: Schmitt, Christian
last_name: Schmitt
- first_name: Ayesha
full_name: Afzal, Ayesha
last_name: Afzal
- first_name: Frank
full_name: Hannig, Frank
last_name: Hannig
- first_name: Jens
full_name: Förstner, Jens
id: '158'
last_name: Förstner
orcid: 0000-0001-7059-9862
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: 'Kenter T, Mahale G, Alhaddad S, et al. OpenCL-based FPGA Design to Accelerate
the Nodal Discontinuous Galerkin Method for Unstructured Meshes. In: Proc.
Int. Symp. on Field-Programmable Custom Computing Machines (FCCM). IEEE; 2018.
doi:10.1109/FCCM.2018.00037'
apa: Kenter, T., Mahale, G., Alhaddad, S., Grynko, Y., Schmitt, C., Afzal, A., Hannig,
F., Förstner, J., & Plessl, C. (2018). OpenCL-based FPGA Design to Accelerate
the Nodal Discontinuous Galerkin Method for Unstructured Meshes. Proc. Int.
Symp. on Field-Programmable Custom Computing Machines (FCCM). Proc. Int. Symp.
on Field-Programmable Custom Computing Machines (FCCM). https://doi.org/10.1109/FCCM.2018.00037
bibtex: '@inproceedings{Kenter_Mahale_Alhaddad_Grynko_Schmitt_Afzal_Hannig_Förstner_Plessl_2018,
title={OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin
Method for Unstructured Meshes}, DOI={10.1109/FCCM.2018.00037},
booktitle={Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)},
publisher={IEEE}, author={Kenter, Tobias and Mahale, Gopinath and Alhaddad, Samer
and Grynko, Yevgen and Schmitt, Christian and Afzal, Ayesha and Hannig, Frank
and Förstner, Jens and Plessl, Christian}, year={2018} }'
chicago: Kenter, Tobias, Gopinath Mahale, Samer Alhaddad, Yevgen Grynko, Christian
Schmitt, Ayesha Afzal, Frank Hannig, Jens Förstner, and Christian Plessl. “OpenCL-Based
FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured
Meshes.” In Proc. Int. Symp. on Field-Programmable Custom Computing Machines
(FCCM). IEEE, 2018. https://doi.org/10.1109/FCCM.2018.00037.
ieee: 'T. Kenter et al., “OpenCL-based FPGA Design to Accelerate the Nodal
Discontinuous Galerkin Method for Unstructured Meshes,” presented at the Proc.
Int. Symp. on Field-Programmable Custom Computing Machines (FCCM), 2018, doi:
10.1109/FCCM.2018.00037.'
mla: Kenter, Tobias, et al. “OpenCL-Based FPGA Design to Accelerate the Nodal Discontinuous
Galerkin Method for Unstructured Meshes.” Proc. Int. Symp. on Field-Programmable
Custom Computing Machines (FCCM), IEEE, 2018, doi:10.1109/FCCM.2018.00037.
short: 'T. Kenter, G. Mahale, S. Alhaddad, Y. Grynko, C. Schmitt, A. Afzal, F. Hannig,
J. Förstner, C. Plessl, in: Proc. Int. Symp. on Field-Programmable Custom Computing
Machines (FCCM), IEEE, 2018.'
conference:
name: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)
date_created: 2018-03-22T10:48:01Z
date_updated: 2023-09-26T11:47:52Z
ddc:
- '000'
department:
- _id: '27'
- _id: '518'
- _id: '61'
doi: 10.1109/FCCM.2018.00037
file:
- access_level: closed
content_type: application/pdf
creator: ups
date_created: 2018-11-02T14:45:05Z
date_updated: 2018-11-02T14:45:05Z
file_id: '5282'
file_name: 08457652.pdf
file_size: 269130
relation: main_file
success: 1
file_date_updated: 2018-11-02T14:45:05Z
has_accepted_license: '1'
keyword:
- tet_topic_hpc
language:
- iso: eng
project:
- _id: '33'
grant_number: 01|H16005A
name: HighPerMeshes
- _id: '1'
grant_number: '160364472'
name: SFB 901
- _id: '4'
name: SFB 901 - Project Area C
- _id: '14'
grant_number: '160364472'
name: SFB 901 - Subproject C2
publication: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)
publisher: IEEE
quality_controlled: '1'
status: public
title: OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method
for Unstructured Meshes
type: conference
user_id: '15278'
year: '2018'
...
---
_id: '1590'
abstract:
- lang: eng
text: "We present the submatrix method, a highly parallelizable method for the approximate
calculation of inverse p-th roots of large sparse symmetric matrices which are
required in different scientific applications. Following the idea of Approximate
Computing, we allow imprecision in the final result in order to utilize the sparsity
of the input matrix and to allow massively parallel execution. For an n x n matrix,
the proposed algorithm allows to distribute the calculations over n nodes with
only little communication overhead. The result matrix exhibits the same sparsity
pattern as the input matrix, allowing for efficient reuse of allocated data structures.\r\n\r\nWe
evaluate the algorithm with respect to the error that it introduces into calculated
results, as well as its performance and scalability. We demonstrate that the error
is relatively limited for well-conditioned matrices and that results are still
valuable for error-resilient applications like preconditioning even for ill-conditioned
matrices. We discuss the execution time and scaling of the algorithm on a theoretical
level and present a distributed implementation of the algorithm using MPI and
OpenMP. We demonstrate the scalability of this implementation by running it on
a high-performance compute cluster comprised of 1024 CPU cores, showing a speedup
of 665x compared to single-threaded execution."
author:
- first_name: Michael
full_name: Lass, Michael
id: '24135'
last_name: Lass
orcid: 0000-0002-5708-7632
- first_name: Stephan
full_name: Mohr, Stephan
last_name: Mohr
- first_name: Hendrik
full_name: Wiebeler, Hendrik
last_name: Wiebeler
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: 'Lass M, Mohr S, Wiebeler H, Kühne T, Plessl C. A Massively Parallel Algorithm
for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices.
In: Proc. Platform for Advanced Scientific Computing (PASC) Conference.
ACM; 2018. doi:10.1145/3218176.3218231'
apa: Lass, M., Mohr, S., Wiebeler, H., Kühne, T., & Plessl, C. (2018). A Massively
Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large
Sparse Matrices. Proc. Platform for Advanced Scientific Computing (PASC) Conference.
Platform for Advanced Scientific Computing Conference (PASC), Basel, Switzerland.
https://doi.org/10.1145/3218176.3218231
bibtex: '@inproceedings{Lass_Mohr_Wiebeler_Kühne_Plessl_2018, place={New York, NY,
USA}, title={A Massively Parallel Algorithm for the Approximate Calculation of
Inverse p-th Roots of Large Sparse Matrices}, DOI={10.1145/3218176.3218231},
booktitle={Proc. Platform for Advanced Scientific Computing (PASC) Conference},
publisher={ACM}, author={Lass, Michael and Mohr, Stephan and Wiebeler, Hendrik
and Kühne, Thomas and Plessl, Christian}, year={2018} }'
chicago: 'Lass, Michael, Stephan Mohr, Hendrik Wiebeler, Thomas Kühne, and Christian
Plessl. “A Massively Parallel Algorithm for the Approximate Calculation of Inverse
P-Th Roots of Large Sparse Matrices.” In Proc. Platform for Advanced Scientific
Computing (PASC) Conference. New York, NY, USA: ACM, 2018. https://doi.org/10.1145/3218176.3218231.'
ieee: 'M. Lass, S. Mohr, H. Wiebeler, T. Kühne, and C. Plessl, “A Massively Parallel
Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse
Matrices,” presented at the Platform for Advanced Scientific Computing Conference
(PASC), Basel, Switzerland, 2018, doi: 10.1145/3218176.3218231.'
mla: Lass, Michael, et al. “A Massively Parallel Algorithm for the Approximate Calculation
of Inverse P-Th Roots of Large Sparse Matrices.” Proc. Platform for Advanced
Scientific Computing (PASC) Conference, ACM, 2018, doi:10.1145/3218176.3218231.
short: 'M. Lass, S. Mohr, H. Wiebeler, T. Kühne, C. Plessl, in: Proc. Platform for
Advanced Scientific Computing (PASC) Conference, ACM, New York, NY, USA, 2018.'
conference:
end_date: 2018-07-04
location: Basel, Switzerland
name: Platform for Advanced Scientific Computing Conference (PASC)
start_date: 2018-07-02
date_created: 2018-03-22T10:53:01Z
date_updated: 2023-09-26T11:48:12Z
department:
- _id: '27'
- _id: '518'
- _id: '304'
doi: 10.1145/3218176.3218231
external_id:
arxiv:
- '1710.10899'
keyword:
- approximate computing
- linear algebra
- matrix inversion
- matrix p-th roots
- numeric algorithm
- parallel computing
language:
- iso: eng
place: New York, NY, USA
project:
- _id: '32'
grant_number: PL 595/2-1 / 320898746
name: Performance and Efficiency in HPC with Custom Computing
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Proc. Platform for Advanced Scientific Computing (PASC) Conference
publication_identifier:
isbn:
- 978-1-4503-5891-0/18/07
publisher: ACM
quality_controlled: '1'
status: public
title: A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th
Roots of Large Sparse Matrices
type: conference
user_id: '15278'
year: '2018'
...
---
_id: '1204'
author:
- first_name: Heinrich
full_name: Riebler, Heinrich
id: '8961'
last_name: Riebler
- first_name: Gavin Francis
full_name: Vaz, Gavin Francis
id: '30332'
last_name: Vaz
- first_name: Tobias
full_name: Kenter, Tobias
id: '3145'
last_name: Kenter
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: 'Riebler H, Vaz GF, Kenter T, Plessl C. Automated Code Acceleration Targeting
Heterogeneous OpenCL Devices. In: Proc. ACM SIGPLAN Symposium on Principles
and Practice of Parallel Programming (PPoPP). ACM; 2018. doi:10.1145/3178487.3178534'
apa: Riebler, H., Vaz, G. F., Kenter, T., & Plessl, C. (2018). Automated Code
Acceleration Targeting Heterogeneous OpenCL Devices. Proc. ACM SIGPLAN Symposium
on Principles and Practice of Parallel Programming (PPoPP). https://doi.org/10.1145/3178487.3178534
bibtex: '@inproceedings{Riebler_Vaz_Kenter_Plessl_2018, title={Automated Code Acceleration
Targeting Heterogeneous OpenCL Devices}, DOI={10.1145/3178487.3178534},
booktitle={Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel
Programming (PPoPP)}, publisher={ACM}, author={Riebler, Heinrich and Vaz, Gavin
Francis and Kenter, Tobias and Plessl, Christian}, year={2018} }'
chicago: Riebler, Heinrich, Gavin Francis Vaz, Tobias Kenter, and Christian Plessl.
“Automated Code Acceleration Targeting Heterogeneous OpenCL Devices.” In Proc.
ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP).
ACM, 2018. https://doi.org/10.1145/3178487.3178534.
ieee: 'H. Riebler, G. F. Vaz, T. Kenter, and C. Plessl, “Automated Code Acceleration
Targeting Heterogeneous OpenCL Devices,” 2018, doi: 10.1145/3178487.3178534.'
mla: Riebler, Heinrich, et al. “Automated Code Acceleration Targeting Heterogeneous
OpenCL Devices.” Proc. ACM SIGPLAN Symposium on Principles and Practice of
Parallel Programming (PPoPP), ACM, 2018, doi:10.1145/3178487.3178534.
short: 'H. Riebler, G.F. Vaz, T. Kenter, C. Plessl, in: Proc. ACM SIGPLAN Symposium
on Principles and Practice of Parallel Programming (PPoPP), ACM, 2018.'
date_created: 2018-03-08T14:45:18Z
date_updated: 2023-09-26T11:47:23Z
ddc:
- '000'
department:
- _id: '27'
- _id: '518'
doi: 10.1145/3178487.3178534
file:
- access_level: closed
content_type: application/pdf
creator: ups
date_created: 2018-11-02T14:43:37Z
date_updated: 2018-11-02T14:43:37Z
file_id: '5281'
file_name: p417-riebler.pdf
file_size: 447769
relation: main_file
success: 1
file_date_updated: 2018-11-02T14:43:37Z
has_accepted_license: '1'
keyword:
- htrop
language:
- iso: eng
project:
- _id: '1'
grant_number: '160364472'
name: SFB 901
- _id: '4'
name: SFB 901 - Project Area C
- _id: '14'
grant_number: '160364472'
name: SFB 901 - Subproject C2
publication: Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming
(PPoPP)
publication_identifier:
isbn:
- '9781450349826'
publication_status: published
publisher: ACM
quality_controlled: '1'
status: public
title: Automated Code Acceleration Targeting Heterogeneous OpenCL Devices
type: conference
user_id: '15278'
year: '2018'
...