Efficient Tridiagonal Preconditioner for the Matrix-Free Truncated Newton Method

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F14%3A00427366" target="_blank" >RIV/67985807:_____/14:00427366 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2014.03.006" target="_blank" >http://dx.doi.org/10.1016/j.amc.2014.03.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2014.03.006" target="_blank" >10.1016/j.amc.2014.03.006</a>

Result language
angličtina
Original language name
Efficient Tridiagonal Preconditioner for the Matrix-Free Truncated Newton Method
Original language description
In this paper, we study an efficient tridiagonal preconditioner, based on the directional differentiation, applied to the matrix-free truncated Newton method for unconstrained optimization. It is proved that this preconditioner is positive definite for many practical problems. The efficiency of the resulting matrix-free truncated Newton method is demonstrated by results of extensive numerical experiments.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-06684S" target="_blank" >GA13-06684S: Iterative Methods in Computational Mathematics: Analysis, Preconditioning, and Applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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