Solving tri-diagonal linear systems using field programmable gate arrays
Warne, David, Kelson, Neil A., & Hayward, Ross F. (2012) Solving tri-diagonal linear systems using field programmable gate arrays. In 4th International Conference on Computational Methods (ICCM2012), 25-28 November 2012, Crowne Plaza, Gold Coast, QLD.
In this paper, we present the outcomes of a project on the exploration of the use of Field Programmable Gate Arrays(FPGAs) as co-processors for scientific computation. We designed a custom circuit for the pipelined solving of multiple tri-diagonal linear systems. The design is well suited for applications that require many independent tri diagonal system solves, such as finite difference methods for solving PDEs or applications utilising cubic spline interpolation. The selected solver algorithm was the Tri Diagonal Matrix Algorithm (TDMA or Thomas Algorithm). Our solver supports user specified precision thought the use of a custom floating point VHDL library supporting addition, subtraction, multiplication and division. The variable precision TDMA solver was tested for correctness in simulation mode. The TDMA pipeline was tested successfully in hardware using a simplified solver model. The details of implementation, the limitations, and future work are also discussed.
Impact and interest:
Citation counts are sourced monthly from and citation databases.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|Item Type:||Conference Paper|
|Keywords:||FPGA, Matrix Factorisation, Hardware Acceleration, Tri-diagonal Matrix Algorithm, Reconfigurable Computing|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > TECHNOLOGY (100000) > COMPUTER HARDWARE (100600) > Arithmetic and Logic Structures (100601)
Australian and New Zealand Standard Research Classification > TECHNOLOGY (100000) > COMPUTER HARDWARE (100600) > Logic Design (100603)
|Divisions:||Current > QUT Faculties and Divisions > Division of Technology, Information and Learning Support
Current > Schools > School of Electrical Engineering & Computer Science
Past > QUT Faculties & Divisions > Faculty of Science and Technology
Current > Research Centres > High Performance Computing and Research Support
|Copyright Owner:||Copyright 2012 [please consult the authors]|
|Deposited On:||20 Nov 2012 01:36|
|Last Modified:||26 Feb 2013 09:09|
Repository Staff Only: item control page