On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F18%3A00005069" target="_blank" >RIV/46747885:24510/18:00005069 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/18:00318734 RIV/71226401:_____/18:N0100105
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0024379518300582" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0024379518300582</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2018.02.003" target="_blank" >10.1016/j.laa.2018.02.003</a>

Result language
angličtina
Original language name
On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials
Original language description
We study Hermite orthogonal polynomials and Gram matrices of their non-standard inner products. The weight function of the non-standard inner product is obtained from the Gauss probability density function by its horizontal shift by a real parameter. We are interested in the spectral properties of these matrices and some of their modifications. We show how the largest and smallest eigenvalues of the matrices depend on the parameter.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GC17-04150J" target="_blank" >GC17-04150J: Reliable two-scale Fourier/finite element-based simulations: Error-control, model reduction, and stochastics</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)