NDLI: Reduction to Tridiagonal Form for Symmetric Eigenproblems on Asymmetric Multicore Processors

Please wait, while we are loading the content...

Batched Gauss-Jordan Elimination for Block-Jacobi Preconditioner Generation on GPUs

TaskInsight: Understanding Task Schedules Effects on Memory and Performance

A high-performance portable abstract interface for explicit SIMD vectorization

PETRAS: Performance, Energy and Thermal Aware Resource Allocation and Scheduling for Heterogeneous Systems

Reduction to Tridiagonal Form for Symmetric Eigenproblems on Asymmetric Multicore Processors

High Performance Detection of Strongly Connected Components in Sparse Graphs on GPUs

Towards Composable GPU Programming: Programming GPUs with Eager Actions and Lazy Views

Assessing One-to-One Parallelism Levels Mapping for OpenMP Offloading to GPUs

A Framework for Developing Parallel Applications with high level Tasks on Heterogeneous Platforms

Reduction to Tridiagonal Form for Symmetric Eigenproblems on Asymmetric Multicore Processors

Content Provider	ACM Digital Library
Author	Catalan, Sandra Alonso, Pedro Rodríguez-Sánchez, Rafael Quintana-Ortí, Enrique S. Herrero, José R.
Abstract	Asymmetric multicore processors (AMPs), as those present in ARM big.LITTLE technology, have been proposed as a means to address the end of Dennard power scaling law. The idea of these architectures is to activate only the type (and number) of cores that satisfy the quality of service requested by the application(s) in execution while delivering high energy efficiency. For dense linear algebra problems though, performance is of paramount importance, asking for an efficient use of all computational resources in the AMP. In response to this, we investigate how to exploit the asymmetric cores of an ARMv7 big.LITTLE AMP in order to attain high performance for the reduction to tridiagonal form, an essential step towards the solution of dense symmetric eigenvalue problems. The routine for this purpose in LAPACK is especially challenging, since half of its floating-point arithmetic operations (flops) are cast in terms of compute-bound kernels while the remaining half correspond to memory-bound kernels. To deal with this scenario: 1) we leverage a tuned implementation of the compute-bound kernels for AMPs; 2) we develop and parallelize new architecture-aware micro-kernels for the memory-bound kernels; 3) and we carefully adjust the type and number of cores to use at each step of the reduction procedure.
Starting Page	39
Ending Page	47
Page Count	9
File Format	PDF
ISBN	9781450348836
DOI	10.1145/3026937.3026938
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2017-02-04
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Symmetric eigenvalue problem Basic linear algebra subprograms (blas) Workload balancing Condensed forms Asymmetric multicore processors Multi-threading
Content Type	Text
Resource Type	Article

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in