On the estimation of x^T A^{-1} x for symmetric matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202AMW" target="_blank" >RIV/61988987:17310/21:A2202AMW - isvavai.cz</a>
Result on the web
<a href="https://journals.uwyo.edu/index.php/ela/article/view/5611/5639" target="_blank" >https://journals.uwyo.edu/index.php/ela/article/view/5611/5639</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.13001/ela.2021.5611" target="_blank" >10.13001/ela.2021.5611</a>
Alternative languages
Result language
angličtina
Original language name
On the estimation of x^T A^{-1} x for symmetric matrices
Original language description
The central mathematical problem studied in this work is the estimation of the quadratic form x^TA^{-1}x$ for a given symmetric positive definite matrix $A in R^{n x n}$ and vector $x in R^n$. Several methods to estimate $x^TA^{-1}x$ without computing the matrix inverse are proposed. The precision of the estimates is analyzed both analytically and numerically.
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
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ELECTRON J LINEAR AL
ISSN
1081-3810
e-ISSN
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Volume of the periodical
37
Issue of the periodical within the volume
July
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
549-561
UT code for WoS article
000765568000003
EID of the result in the Scopus database
2-s2.0-85112659740