Keywords:
- A posteriori error analysis
- Adaptivity
- Algebraic error
- core problem
- delay of convergence
- Discretization error
- exascale computations.
- finite element method
- generalized Jacobi matrices.
- GMRES convergence
- Golub–Kahan bidiagonalization
- inexact computations
- Krylov residual subspace
- Krylov subspace methods
- maximal attainable accuracy
- multiple right-hand sides
- normal matrices
- Numerical solution of partial differential equations
- numerical stability
- pipelined Krylov subspace methods
- Schur parameters
- Spatial distribution of the error
- the conjugate gradient method
- total least squares problem
- unitary matrices
- unitary spectra
Publications of Strakoš, Zdeněk sorted by title
A
| and , Algebraic description of the finite Stieltjes moment problem (2019), in: Linear Algebra and its Applications, 561(207-227) |
[DOI] |
| , , , and , Analysis of Methods for Matrix Computations: Basic Methods, Matfyzpress, 2012 |
B
| , and , Band generalization of the Golub--Kahan bidiagonalization, generalized Jacobi matrices, and the core problem (2015), in: SIAM Journal on Matrix Analysis and Applications, 36:2(417–434) |
[DOI] |
| , and , Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem (2015), in: SIAM Journal on Matrix Analysis and Applications, 36:2(417-434) |
[DOI] [URL] |
C
| , , and , Challenges in coupling iterative algebraic computations with modeling and discretisation PART I - Basic (mostly algebraic) settings, 2012 |
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| and , Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations (2014), in: Numerical Algoritms, 65:4(759-782) |
[DOI] |
D
| , and , Decomposition into subspaces preconditioning: abstract framework (2018), in: SIAM |
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| , and , Distribution of the discretization and algebraic error in numerical solution of partial differential equations (2014), in: Linear Algebra and its Applications, 449(89–114) |
[DOI] |
E
| , and , Estimating and localizing the algebraic and total numerical errors using flux reconstructions (2017), in: Numerische Mathematik(1-41) |
[DOI] [URL] |
G
| , and , Gauss quadrature for quasidefinite linear functionals (2017), in: IMA J. Numer. Anal., 37(1468-1495) |
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I
| , , and , Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems (2013), in: GAMM Mitteilungen, 36:1(102-129) |
[DOI] |
K
| and , Krylov Subspace Methods Principles and Analysis, Oxford university press, Numerical Mathematics and Scientific Computation, 2012 |
[DOI] [URL] |
L
| , and , LANCZOS ALGORITHM AND THE COMPLEX GAUSS QUADRATURE (2017), in: SIAM Journal on Matrix Analysis and Applications (SIMAX) |
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M
O
| , , and , On investigating GMRES convergence using unitary matrices (2014), in: Linear Algebra and its Applications, 450:1(83-107) |
[DOI] |
P
| and , Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs, SIAM, SIAM Spotlight Series, 2015 |
[URL] |
T
| , and , The Core Problem Within a Linear Approximation Problem Ax ≈ B With Multiple Right-Hand Sides (2013), in: SIAM Journal on Matrix Analysis and Applications, 34:3(917-931) |
[DOI] |
| , and , The Lanczos algorithm and complex Gauss quadrature (2018), in: ETNA (ACTA17 Proceedings), 50(1-19) |
[DOI] |
| , , , 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] |