By Topic

A parallel algorithm for solving sparse triangular systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Ho, C.-W. ; Inst. of Comput. & Decision Sci., Nat. Tsing Hua Univ., Hsinchu, Taiwan ; Lee, R.C.T.

A fast parallel algorithm, which is generalized from the parallel algorithms for solving banded linear systems, is proposed to solve sparse triangular systems. The original problem is transformed into a directed graph. The solving procedure then consists of eliminating edges in this graph. The worst-case time-complexity of this parallel algorithm is O(log2n) where n is the size of the coefficient matrix. When the coefficient matrix is a triangular banded matrix with bandwidth m, then the time-complexity of the algorithm is O(log(m)×log(n))

Published in:

Computers, IEEE Transactions on  (Volume:39 ,  Issue: 6 )