Krylov solvability under perturbations of abstract inverse linear problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000131" target="_blank" >RIV/47813059:19610/23:A0000131 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/document/doi/10.1515/jaa-2022-2004/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/jaa-2022-2004/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/jaa-2022-2004" target="_blank" >10.1515/jaa-2022-2004</a>
Alternative languages
Result language
angličtina
Original language name
Krylov solvability under perturbations of abstract inverse linear problems
Original language description
When a solution to an abstract inverse linear problem on Hilbert space is approximable by finite linear combinations of vectors from the cyclic subspace associated with the datum and with the linear operator of the problem, the solution is said to be a Krylov solution. Krylov solvability of the inverse problem allows for solution approximations that, in applications, correspond to the very efficient and popular Krylov subspace methods. We study the possible behaviors of persistence, gain, or loss of Krylov solvability under suitable small perturbations of the infinite-dimensional inverse problem - the underlying motivations being the stability or instability of infinite-dimensional Krylov methods under small noise or uncertainties, as well as the possibility to decide a priori whether an infinite-dimensional inverse problem is Krylov solvable by investigating a potentially easier, perturbed problem.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Applied Analysis
ISSN
1425-6908
e-ISSN
1869-6082
Volume of the periodical
29
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
27
Pages from-to
3-29
UT code for WoS article
000871701200001
EID of the result in the Scopus database
2-s2.0-85126790336