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Pregled bibliografske jedinice broj: 618110

Householder's approximants and continued fraction expansion of quadratic irrationals


Petričević, Vinko
Householder's approximants and continued fraction expansion of quadratic irrationals // Glasnik matematički, 48 (2013), 2; 231-247 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 618110 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Householder's approximants and continued fraction expansion of quadratic irrationals

Autori
Petričević, Vinko

Izvornik
Glasnik matematički (0017-095X) 48 (2013), 2; 231-247

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

Ključne riječi
Continued fractions ; Householder's iterative methods

Sažetak
There are numerous methods for rational approximation of real numbers. Continued fraction convergent is one of them and Newton's iterative method is another. Connections between these two approximation methods were discussed by several authors. Householder's methods are generalisation of Newton's method. In this paper, we will show that for these methods analogous connection with continued fractions hold.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-037-0372791-2802 - Teorija dimenzije i oblika (Mardešić, Sibe, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Vinko Petričević (autor)

Citiraj ovu publikaciju:

Petričević, Vinko
Householder's approximants and continued fraction expansion of quadratic irrationals // Glasnik matematički, 48 (2013), 2; 231-247 (međunarodna recenzija, članak, znanstveni)
Petričević, V. (2013) Householder's approximants and continued fraction expansion of quadratic irrationals. Glasnik matematički, 48 (2), 231-247.
@article{article, author = {Petri\v{c}evi\'{c}, Vinko}, year = {2013}, pages = {231-247}, keywords = {Continued fractions, Householder's iterative methods}, journal = {Glasnik matemati\v{c}ki}, volume = {48}, number = {2}, issn = {0017-095X}, title = {Householder's approximants and continued fraction expansion of quadratic irrationals}, keyword = {Continued fractions, Householder's iterative methods} }
@article{article, author = {Petri\v{c}evi\'{c}, Vinko}, year = {2013}, pages = {231-247}, keywords = {Continued fractions, Householder's iterative methods}, journal = {Glasnik matemati\v{c}ki}, volume = {48}, number = {2}, issn = {0017-095X}, title = {Householder's approximants and continued fraction expansion of quadratic irrationals}, keyword = {Continued fractions, Householder's iterative methods} }

Časopis indeksira:


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


Uključenost u ostale bibliografske baze podataka::


  • INSPEC
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Referativni Žurnal - Matematika
  • Current Mathematical Publications





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