M. Benzi, J. C. Haws, and M. Tuma. Preconditioning highly indefinite and nonsymmetric matrices. SIAM J. Sci. Comput., 22(4):1333--1353 (electronic), 2000. Home/Search Document Details and Download
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ILUs and Factorized Approximate Inverses are Strongly.. - Bollhöfer, Saad (2000) (Correct)
....0 ff = 1:0 ILUTP 0. 9 2:7 Delta10 Gamma1 2:1 Delta10 Gamma1 17 Finally, after illustrating the benefits of using pivoting in the approximate inverse preconditioner with several examples we will examine the combination of pivoting with an a priori permutation and scaling suggested in [2]. At first glance the use of pivoting and especially the use of strict pivoting seems to be a complimentary approach to gain more stability. But clearly combining two different approaches in an appropriate way can be a good compromise. We illustrate this on some matrices which have been reordered ....
....and especially the use of strict pivoting seems to be a complimentary approach to gain more stability. But clearly combining two different approaches in an appropriate way can be a good compromise. We illustrate this on some matrices which have been reordered and scaled using the method from [2] together with relaxed pivoting (ff = 0:1) We compare these results with strict pivoting (ff = 1) and no a priori permutation and with only a priori permutation but no pivoting. See Table 13, 14, 15. Table 13: Matrix BP BP1200 version Fill in GMRES(30) QMR of AINV time[sec] steps time[sec] ....
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M. Benzi, J. C. Haws, and M. Tuma. Preconditioning highly indefinite and nonsymmetric matrices. Technical Report LA--UR--99--4857, Los Alamos National Laboratory, Scientific Computing Group (CIC--19), 1999.
Preconditioning KKT systems - Haws, Meyer (2001) (2 citations) Self-citation (Haws) (Correct)
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M. Benzi, J. C. Haws, and M. Tuma. Preconditioning highly indefinite and nonsymmetric matrices. SIAM J. Sci. Comput., 22(4):1333--1353 (electronic), 2000.
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