Keywords:
- Approximate inverses
- backward error
- convergence rate
- delay of convergence
- exascale computations.
- Gram–Schmidt orthogonalization
- incomplete factorization
- inexact computations
- Krylov subspace methods
- matrix splitting
- maximal attainable accuracy
- numerical stability
- pipelined Krylov subspace methods
- preconditioned iterative methods
- rounding error analysis
- stationary iteration method
- the conjugate gradient method
Publications of Rozložník, Miroslav
2018
| , , , and , The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology (2018), in: SIAM J. Sci. Comput., 40:5(A3549–A3580) |
[DOI] [URL] |
2017
| , and , An adaptive multilevel factorized sparse approximate inverse preconditioning (2017), in: Advances in Engineering Software, 113(19-24) |
[DOI] |
| , and , Analysis of a low memory implementation of the Orthogonal Matching Pursuit greedy strategy, 2017 |
|
| and , On GMRES for singular EP and GP systems, 2017 |
|
| , , and , Sign patterns of J-orthogonal matrices (2017), in: Special Matrices, 5:1(225-241) |
[DOI] |
2016
| , and , Factorized approximate inverses with adaptive dropping (2016), in: SIAM Journal on Scientific Computing, 38:3(A1807–A1820) |
[DOI] |
2015
| , and , Cholesky-like factorization of symmetric indefinite matrices and orthogonalization with respect to bilinear forms (2015), in: SIAM J. Matrix Anal. & Appl., 36:2(727-751) |
[DOI] |
| and , On numerical behavior of matrix splitting iteration methods (2015), in: SIAM Journal on Numerical Analysis (SINUM), 53:4(1116-1137) |
[DOI] |
2014
| , and , A note on iterative refinement for seminormal equations (2014), in: Applied Numerical Mathematics, 75(167--174) |
[DOI] |