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Pregled bibliografske jedinice broj: 575185

Časopis

Autori: Singer, Sanja
Naslov: Perturbation Bounds for Singular Values of Matrices with Singletons
Izvornik: Journal of Mathematical Inequalities (1846-579X) 6 (2012), 4; 601-613
Vrsta rada: članak
Ključne riječi: matrices with singletons; perturbations; singular value inequalities; integration formulae
Sažetak:
This paper considers bounds for the singular values of a matrix with a row- or column-singleton if such an element is perturbed. A multiplicative approach to such perturbations may lead to sharper bounds than the usual additive Weyl bounds. These bounds immediately give the interlace property for the singular values. These results are used for perturbation bounds if a tridiagonal matrix with a zero diagonal is perturbed in the last pair of off-diagonal elements. Such perturbation bounds are then applied to bound perturbations of the eigenvalues and the first component of the eigenvectors, which has a direct application in the computation of the Gaussian quadrature formulae for compression splines.
Projekt / tema: 037-1193086-2771
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://jmi.ele-math.com/06-58/Perturbation-bounds-for-singular-values-of-matrices-with-singletons
http://files.ele-math.com/articles/jmi-06-58.pdf
Broj citata:
Altmetric:
DOI: 10.7153/jmi-06-58
URL cjelovitog teksta:
Google Scholar: Perturbation Bounds for Singular Values of Matrices with Singletons
Upisao u CROSBI: venovako@fsb.hr (venovako@fsb.hr), 26. Ožu. 2012. u 21:08 sati



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