“Woah! It's like Spotify but for academic articles.”

Instant Access to Thousands of Journals for just $40/month

SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix

SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix TOM00051 ACM (Typeset by SPi, Manila, Philippines) 1 of 19 February 24, 2011 SelInv ”An Algorithm for Selected Inversion of a Sparse Symmetric Matrix LIN LIN, Princeton University CHAO YANG and JUAN C. MEZA, Lawrence Berkeley National Laboratory JIANFENG LU, Courant Institute of Mathematical Sciences LEXING YING, University of Texas at Austin WEINAN E, Princeton University We describe an ef cient implementation of an algorithm for computing selected elements of a general sparse symmetric matrix A that can be decomposed as A = L D L T , where L is lower triangular and D is diagonal. Our implementation, which is called SelInv, is built on top of an ef cient supernodal left-looking L D L T factorization of A. We discuss how computational ef ciency can be gained by making use of a relative index array to handle indirect addressing. We report the performance of SelInv on a collection of sparse matrices of various sizes and nonzero structures. We also demonstrate how SelInv can be used in electronic structure calculations. Categories and Subject Descriptors: G.4 [Mathematical Software]: ”Algorithm design and analysis; I.1.2 [Symbolic and Algebraic Manipulation]: Algorithms ”Algebraic algorithms General Terms: Design, Performance Additional Key Words and http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Mathematical Software (TOMS) Association for Computing Machinery

Loading next page...

You're reading a free preview. Subscribe to read the entire article.

And millions more from thousands of peer-reviewed journals, for just $40/month

To be the best researcher, you need access to the best research

  • With DeepDyve, you can stop worrying about how much articles cost, or if it's too much hassle to order — it's all at your fingertips. Your research is important and deserves the top content.
  • Read from thousands of the leading scholarly journals from Springer, Elsevier, Nature, IEEE, Wiley-Blackwell and more.
  • All the latest content is available, no embargo periods.

Stop missing out on the latest updates in your field

  • We’ll send you automatic email updates on the keywords and journals you tell us are most important to you.
  • There is a lot of content out there, so we help you sift through it and stay organized.