Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Pavel Jiránek"'
Publikováno v:
Numerical Linear Algebra with Applications. 23:501-518
A typical approach to decrease computational costs and memory requirements of classical algebraic multigrid methods is to replace a conservative coarsening algorithm and short-distance interpolation on a fixed number of fine levels by an aggressive c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5f389bd4f3920779d4d91ba1b8a333d
https://doi.org/10.1002/nla.2036
https://doi.org/10.1002/nla.2036
Publikováno v:
Linear Algebra and its Applications. 439:78-89
We consider two upper bounds on the normwise backward error (BE) for linear least-squares problems. The advantage of these bounds is their simplicity. Their behaviour in commonly-used iterative methods can be analyzed more easily than that of the BE
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8bf2b39145a42a1f823d54f2d414a92
https://doi.org/10.1016/j.laa.2013.03.007
https://doi.org/10.1016/j.laa.2013.03.007
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 33:822-836
We consider the backward error associated with a given approximate solution of a linear least squares problem. The backward error can be very expensive to compute, as it involves the minimal singular value of a certain matrix that depends on the prob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::564170e442babc86562e219ac4b765d0
https://doi.org/10.1137/110825467
https://doi.org/10.1137/110825467
Publikováno v:
SIAM Journal on Scientific Computing. 32:1567-1590
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated linear algebraic system. We show that the algebraic error can be bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53e18cefe226fd44d82646e032dff453
https://doi.org/10.1137/08073706x
https://doi.org/10.1137/08073706x
Autor:
Pavel Jiránek, David Titley-Peloquin
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 31:2055-2074
We propose practical stopping criteria for the iterative solution of sparse linear least squares (LS) problems. Although we focus our discussion on the algorithm LSQR of Paige and Saunders, the ideas discussed here may also be applicable to other alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a532bc6330c1ff653399b0785a43ad4
https://doi.org/10.1137/090770655
https://doi.org/10.1137/090770655
Autor:
Miroslav Rozložník, Pavel Jiránek
Publikováno v:
Numerical Algorithms. 53:93-112
In this paper we propose a stable variant of Simpler GMRES. It is based on the adaptive choice of the Krylov subspace basis at a given iteration step using the intermediate residual norm decrease criterion. The new direction vector is chosen as in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a80009db432493a7958b0e0359199d4
https://doi.org/10.1007/s11075-009-9311-2
https://doi.org/10.1007/s11075-009-9311-2
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 30:1483-1499
In this paper we analyze the numerical behavior of several minimum residual methods which are mathematically equivalent to the GMRES method. Two main approaches are compared: one that computes the approximate solution in terms of a Krylov space basis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::167c267e7e2b0b4a5a2f89642d40f233
https://doi.org/10.1137/070707373
https://doi.org/10.1137/070707373
Autor:
Miroslav Rozloník, Pavel Jiránek
Publikováno v:
Journal of Computational and Applied Mathematics. 215(1):28-37
Nonsymmetric saddle point problems arise in a wide variety of applications in computational science and engineering. The aim of this paper is to discuss the numerical behavior of several nonsymmetric iterative methods applied for solving the saddle p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4f14432f50755f5b8efbd5f9811a91d
Autor:
Miroslav Rozložník, Pavel Jiránek
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 29:1297-1321
In this paper we study numerical behavior of several iterative Krylov subspace solvers applied to the solution of large-scale saddle point problems. Two main representatives of segregated solution approach are analyzed: the Schur complement reduction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10bd39a46c34ab2c8b9cd7ffd4779028
https://doi.org/10.1137/060659727
https://doi.org/10.1137/060659727
Publikováno v:
Sensors, Vol 20, Iss 15, p 4196 (2020)
The interaction between the rotating blades and the external fluid in non-axial flow conditions is the main source of vibratory loads on the main rotor of helicopters. The knowledge or prediction of the produced aerodynamic loads and of the dynamic b
Externí odkaz:
https://doaj.org/article/fdb3121027f14ab6a5e19420f834c96a