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On Error Estimation in the Conjugate Gradient Method: Normwise Backward Error
Using an idea of Duff and Vömel [BIT, 42 (2002), pp. 300-322 ] we suggest a simple algorithm that incrementally estimates the 2-norm of Jacobi matrices that are available during the conjugate gradient (CG) computations. The estimate can be used, e.g....
BA - Obecná matematika
- 2016 •
- D
Rok uplatnění
D - Stať ve sborníku
Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG
, like the A-norm of the error or the normwise backward error, cannot be easily the normwise backward error. The numerical experiments demonstrate the efficiency for the A-norm of the
Applied mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems
the conditions whenthey are componentwise or normwise forward or backward stable. We show...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Estimating the backward error in LSQR
practical and cheaply computable estimates of the backward error for the LS problem.
IN - Informatika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Forward-Backward Error: Automatic Detection of Tracking Failures
. The detection is based on the Forward-Backward error, i.e. the tracking is performed forward and backward in time and the discrepancies between these two trajectories are measured. We demonstrate that the proposed err...
JD - Využití počítačů, robotika a její aplikace
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Combining Forward and Backward Search in Decoding
This article describes a combination of forward and backward search in speech decoding based on WFST decoders.
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
THE STABILITY OF SPLIT-PRECONDITIONED FGMRES IN FOUR PRECISIONS
preconditioners. We obtain bounds for the backward and forward errors in the split a backward error of the order of the working precision....
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A posteriori error estimates of the discontinuous Galerkin method for parabolic problems
We deal with the heat equation discretized by discontinuous Galerkin finite element method in space and by backward Euler method in time. We present a simple and efficient a posteriori error estimate based on Helmholz decomposition ...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
A design of residual error estimates for a high order BDF-DGFE method applied to compressible flows
-Stokes equations with the aid of the backward difference formula - discontinuous systems arising from the backward difference formula - discontinuous Galerkin finite of thispaper are residual error estimates that are able ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation
The paper deals with a numerical solution of the nonstationary heat equation with mixed Dirichlet/Neumann boundary conditions. The space semi-discretization is carried out with the aid of the interior penalty Galerkin methods and the backward
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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