Pretraga

Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 620362

Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications

Jakovčević Stor, Nevena; Slapničar, Ivan; Barlow, Jesse L.
Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications // Linear algebra and its applications, 464 (2015), 62-89 doi:10.1016/j.laa.2013.10.007 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 620362 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications

Autori
Jakovčević Stor, Nevena ; Slapničar, Ivan ; Barlow, Jesse L.

Izvornik
Linear algebra and its applications (0024-3795) 464 (2015); 62-89

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
eigenvalue decomposition; arrowhead matrix; high relative accuracy; singular value decomposition

Sažetak
We present a new algorithm for solving an eigenvalue problem for a real symmetric arrowhead matrix. The algorithm computes all eigenvalues and all components of the corresponding eigenvectors with high relative accuracy in $O(n^{; ; ; ; ; 2}; ; ; ; ; )$ operations. The algorithm is based on a shift-and-invert approach. Double precision is eventually needed to compute only one element of the inverse of the shifted matrix. Each eigenvalue and the corresponding eigenvector can be computed separately, which makes the algorithm adaptable for parallel computing. Our results extend to Hermitian arrowhead matrices, real symmetric diagonal-plus-rank-one matrices and singular value decomposition of real triangular arrowhead matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Special issue on eigenvalue problems.



POVEZANOST RADA

Projekti:
023-0372783-1289 - Točni i brzi matrični algoritmi i primjene (Slapničar, Ivan, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split

Profili:

Avatar Url Ivan Slapničar (autor)

Avatar Url Nevena Jakovčević Stor (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi www.sciencedirect.com authors.elsevier.com

Citiraj ovu publikaciju:

Jakovčević Stor, Nevena; Slapničar, Ivan; Barlow, Jesse L.
Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications // Linear algebra and its applications, 464 (2015), 62-89 doi:10.1016/j.laa.2013.10.007 (međunarodna recenzija, članak, znanstveni)
Jakovčević Stor, N., Slapničar, I. & Barlow, J. (2015) Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications. Linear algebra and its applications, 464, 62-89 doi:10.1016/j.laa.2013.10.007.
@article{article, author = {Jakov\v{c}evi\'{c} Stor, Nevena and Slapni\v{c}ar, Ivan and Barlow, Jesse L.}, year = {2015}, pages = {62-89}, DOI = {10.1016/j.laa.2013.10.007}, keywords = {eigenvalue decomposition, arrowhead matrix, high relative accuracy, singular value decomposition}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2013.10.007}, volume = {464}, issn = {0024-3795}, title = {Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications}, keyword = {eigenvalue decomposition, arrowhead matrix, high relative accuracy, singular value decomposition} }
@article{article, author = {Jakov\v{c}evi\'{c} Stor, Nevena and Slapni\v{c}ar, Ivan and Barlow, Jesse L.}, year = {2015}, pages = {62-89}, DOI = {10.1016/j.laa.2013.10.007}, keywords = {eigenvalue decomposition, arrowhead matrix, high relative accuracy, singular value decomposition}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2013.10.007}, volume = {464}, issn = {0024-3795}, title = {Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications}, keyword = {eigenvalue decomposition, arrowhead matrix, high relative accuracy, singular value decomposition} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Citati:

    Altmetrijski pokazatelji:


    Podijeli:





    Contrast
    Increase Font
    Decrease Font
    Dyslexic Font
    CROSBI koristi kolačiće (cookies) kako bi poboljšao funkcionalnost stranice.