Noise revealing in Golub-Kahan bidiagonalization as a mean of regularization in discrete inverse problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10285035" target="_blank" >RIV/00216208:11320/14:10285035 - isvavai.cz</a>
Result on the web
<a href="http://www.cs.cas.cz/sna2014/sbornik.pdf" target="_blank" >http://www.cs.cas.cz/sna2014/sbornik.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Noise revealing in Golub-Kahan bidiagonalization as a mean of regularization in discrete inverse problems
Original language description
We consider a linear inverse problem Ax ~ b, where A is a linear operator with smoothing property and b represents an observation vector polluted by unknown noise. It was shown that high-frequency noise reveals during the Golub-Kahan iterative bidiagonalization in the left bidiagonalization vectors. We present a method that identifies the iteration with maximal noise revealing and reduces a portion of high-frequency noise in the data by subtracting the corresponding (properly scaled) left bidiagonalization vector from b.
Czech name
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Czech description
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Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>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

Article name in the collection
SNA'14 - Seminar on Numerical Analysis: Modelling and Simulation of Challenging Engineering Problems
ISBN
978-80-87136-16-4
ISSN
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e-ISSN
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Number of pages
3
Pages from-to
62-64
Publisher name
Institute of Computer Science AS CR, Prague
Place of publication
Neuveden
Event location
Nymburk
Event date
Jan 27, 2014
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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