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pro vyhledávání: '"Dumitrasc, A."'
The generalized Golub-Kahan bidiagonalization has been used to solve saddle-point systems where the leading block is symmetric and positive definite. We extend this iterative method for the case where the symmetry condition no longer holds. We do so
Externí odkaz:
http://arxiv.org/abs/2310.06952
Publikováno v:
Proceedings of the 41st International Conference on Machine Learning, 2024
We propose a standardized version of fairness measures for continuous scores with a reasonable interpretation based on the Wasserstein distance. Our measures are easily computable and well suited for quantifying and interpreting the strength of group
Externí odkaz:
http://arxiv.org/abs/2308.11375
Deflation techniques are typically used to shift isolated clusters of small eigenvalues in order to obtain a tighter distribution and a smaller condition number. Such changes induce a positive effect in the convergence behavior of Krylov subspace met
Externí odkaz:
http://arxiv.org/abs/2305.17693
We study an inexact inner-outer generalized Golub-Kahan algorithm for the solution of saddle-point problems with a two-times-two block structure. In each outer iteration, an inner system has to be solved which in theory has to be done exactly. Whenev
Externí odkaz:
http://arxiv.org/abs/2208.01079
Matrices can be augmented by adding additional columns such that a partitioning of the matrix in blocks of rows defines mutually orthogonal subspaces. This augmented system can then be solved efficiently by a sum of projections onto these subspaces.
Externí odkaz:
http://arxiv.org/abs/1908.11746
In this paper we replay the definitions, constructions and results from [SIAM J. Sci. Comp., 37(3)(2015), A1248-A1269] by completing and developing some of them to inconsistent least squares problems.
Comment: arXiv admin note: text overlap with
Comment: arXiv admin note: text overlap with
Externí odkaz:
http://arxiv.org/abs/1805.11487
Autor:
Dumitraşc, Andrei, Popa, Constantin
In the recent paper [Duff I. et al, SIAM J. Sci. Comp., 37(3) (2015), A1248-A1269] the authors proposed an interesting procedure for the parallel solution of large, sparse consistent linear systems of equations. In this respect, according to a reorde
Externí odkaz:
http://arxiv.org/abs/1708.07693
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Publikováno v:
Numerical Linear Algebra with Applications; Oct2023, Vol. 30 Issue 5, p1-19, 19p
Publikováno v:
SIAM Journal on Scientific Computing. 43:S516-S539
For the solution of large sparse unsymmetric systems, Duff et al. [SIAM J. Sci. Comput., 37 (2015), pp. A1248--A1269] proposed an approach based on the block Cimmino iterations [Numer. Math., 35 (1...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07ea71595f6f2ab8c89d9582b99dea9e
https://doi.org/10.1137/20m1348261
https://doi.org/10.1137/20m1348261