BUIR logo
Communities & Collections
All of BUIR
  • English
  • Türkçe
Log In
Please note that log in via username/password is only available to Repository staff.
Have you forgotten your password?
  1. Home
  2. Browse by Subject

Browsing by Subject "Triangularization."

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • Results Per Page
  • Sort Options
  • Loading...
    Thumbnail Image
    ItemOpen Access
    Locality aware reordering for sparse triangular solve
    (2014) Torun, Tuğba
    Sparse Triangular Solve (SpTS) is a commonly used kernel in a wide variety of scientific and engineering applications. Efficient implementation of this kernel on current architectures that involve deep cache hierarchy is crucial for attaining high performance. In this work, we propose an effective framework for cache-aware SpTS. Solution of sparse linear symmetric systems utilizing the direct methods require the triangular solve of the form LUz = b, where L is lower triangular factor and U is upper triangular factor. For cache utilization, we reorder the rows and columns of the L factor regarding the data dependencies of the triangular solve. We represent the data dependencies of the triangular solve as a directed hypergraph and construct an ordered partitioning model on this structure. For this purpose, we developed a variant of Fiduccia-Mattheyses (FM) algorithm which respects the dependency constraints. We also adopt the idea of splitting L factors into dense and sparse components and solving them seperately with different autotuned kernels for achieving more flexibility in this process. We investigate the performance variation of different storage schemes of L factors and the corresponding sparse and dense components. We utilize autotuning provided by Optimized Sparse Kernel Interface (OSKI) to reduce performance degradation that incurs due to the gap between processors and memory speeds. Experiments performed on real-world datasets verify the effectiveness of the proposed framework.

About the University

  • Academics
  • Research
  • Library
  • Students
  • Stars
  • Moodle
  • WebMail

Using the Library

  • Collections overview
  • Borrow, renew, return
  • Connect from off campus
  • Interlibrary loan
  • Hours
  • Plan
  • Intranet (Staff Only)

Research Tools

  • EndNote
  • Grammarly
  • iThenticate
  • Mango Languages
  • Mendeley
  • Turnitin
  • Show more ..

Contact

  • Bilkent University
  • Main Campus Library
  • Phone: +90(312) 290-1298
  • Email: dspace@bilkent.edu.tr

Bilkent University Library © 2015-2025 BUIR

  • Privacy policy
  • Send Feedback