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STOC
2007
ACM
128views Algorithms» more  STOC 2007»
14 years 11 months ago
Iteratively constructing preconditioners via the conjugate gradient method
We consider the problem of solving a symmetric, positive definite system of linear equations. The most well-known and widely-used method for solving such systems is the preconditi...
John Dunagan, Nicholas J. A. Harvey
IPPS
1995
IEEE
14 years 2 months ago
Performance evaluation of a new parallel preconditioner
The linear systems associated with large, sparse, symmetric, positive definite matrices are often solved iteratively using the preconditioned conjugate gradient method. We have d...
Keith D. Gremban, Gary L. Miller, Marco Zagha
SPAA
1990
ACM
14 years 2 months ago
A New Preconditioner for the Parallel Solution of Positive Definite Toeplitz Systems
We introduce a new preconditioner for solving a symmetric Toeplitz system of equations by the conjugate gradient method. This choice leads to an algorithm which is particularly sui...
Dario Bini, Fabio Di Benedetto
MOC
2002
93views more  MOC 2002»
13 years 10 months ago
Conjugate gradient method for dual-dual mixed formulations
We deal with the iterative solution of linear systems arising from so-called dual-dual mixed finite element formulations. The linear systems are of a two-fold saddle point structur...
Gabriel N. Gatica, Norbert Heuer
VALUETOOLS
2006
ACM
162views Hardware» more  VALUETOOLS 2006»
14 years 4 months ago
Fast solvers for queueing systems with negative customers
In this paper, we are interested in solving Markovian queueing systems having Poisson batch arrivals, exponential servers and negative customers. Preconditioned conjugate gradient...
You-Wei Wen, Wai-Ki Ching, Michael K. Ng