On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices
Applied Numerical Mathematics
Acceleration techniques for reduced-order models based on proper orthogonal decomposition
Journal of Computational Physics
ACM Transactions on Mathematical Software (TOMS)
A comparison of projective and direct solvers for finite elements in elastostatics
Advances in Engineering Software
Preconditioning Helmholtz linear systems
Applied Numerical Mathematics
A Block FSAI-ILU Parallel Preconditioner for Symmetric Positive Definite Linear Systems
SIAM Journal on Scientific Computing
Improved Balanced Incomplete Factorization
SIAM Journal on Matrix Analysis and Applications
Experience in developing an open source scalable software infrastructure in japan
ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part II
Adaptive Pattern Research for Block FSAI Preconditioning
SIAM Journal on Scientific Computing
A generalized Block FSAI preconditioner for nonsymmetric linear systems
Journal of Computational and Applied Mathematics
Hi-index | 0.01 |
This paper presents an efficient implementation of the incomplete LU (ILU) factorization derived from the Crout version of Gaussian elimination. At step k of the elimination, the kth row of U and the kth column of L are computed using previously computed rows of U and columns of L. The data structure and implementation borrow from already known techniques used in developing both sparse direct solution codes and incomplete Cholesky factorizations. This version of ILU can be computed much faster than standard threshold-based ILU factorizations computed rowwise or columnwise. In addition, the data structure allows efficient implementations of more rigorous and effective dropping strategies.