Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Bairstow's method"'
Autor:
Brodlie, Kenneth W.
Publikováno v:
Mathematics of Computation, 1975 Jul 01. 29(131), 816-826.
Externí odkaz:
https://www.jstor.org/stable/2005292
Akademický článek
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Autor:
Wai-Shing Luk
Publikováno v:
BIT Numerical Mathematics. 36:302-308
Aberth's method for finding the roots of a polynomial was shown to be robust. However, complex arithmetic is needed in this method even if the polynomial is real, because it starts with complex initial approximations. A novel method is proposed for r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd5b721f8551481362a26487adeb919c
https://doi.org/10.1007/bf01731985
https://doi.org/10.1007/bf01731985
Autor:
H. Van de Vel, M. Vander Straeten
Publikováno v:
Journal of Computational and Applied Mathematics. 40(1):105-114
For many high-order one-point iteration processes, convergence slows down to order one in case of multiple real zeros. A method is proposed that accelerates this convergence and simultaneously computes the multiplicity of the zero. This method is als
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3eff0f6bf7b0efe38ffa85b5eb831ef
Publikováno v:
Chaos (Woodbury, N.Y.). 9(2)
This paper is devoted to the study of the global dynamical properties of a two-dimensional noninvertible map, with a denominator which can vanish, obtained by applying Bairstow's method to a cubic polynomial. It is shown that the complicated structur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6311333f4c705fe67a15eb8633178c03
https://pubmed.ncbi.nlm.nih.gov/12779835
https://pubmed.ncbi.nlm.nih.gov/12779835
Publikováno v:
Numerische Mathematik. 50:477-482
Necessary and sufficient condition of algebraic character is given for the invertibility of the Jacobian matrix in Bairstow's method. This leads to a sufficient condition for local quadratic convergence. Results also yield the rank of the Jacobian, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1acf9e827e8911a3b824c19eb27c7379
https://doi.org/10.1007/bf01396665
https://doi.org/10.1007/bf01396665
Autor:
David W. Boyd
Publikováno v:
SIAM Journal on Numerical Analysis. 14:571-574
It is shown that if Bairstow’s method is applied to a polynomial with exactly one real root r and the initial trial factor vanishes at r, then all succeeding iterates will vanish at r and hence the method cannot converge. The cubic case is investig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de1b93a63bb9d6a89be77bcad9201c4f
https://doi.org/10.1137/0714036
https://doi.org/10.1137/0714036
Autor:
Shinobu Sasaki
Publikováno v:
Transactions of the Society of Instrument and Control Engineers. 23:485-490
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07dadd6b1a4843acf79908bfb5ba207d
https://doi.org/10.9746/sicetr1965.23.485
https://doi.org/10.9746/sicetr1965.23.485
Autor:
Kenneth W. Brodlie
Publikováno v:
Mathematics of Computation. 29:816-826
We show that Bairstow’s method is just one member of a family of similar algorithms for determining a quadratic factor of a polynomial. We suggest a way of choosing an appropriate member of this family for a particular problem. Numerical results in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::649c06f418c9de4c5565f1b1dac69c7c
https://doi.org/10.1090/s0025-5718-1975-0381283-7
https://doi.org/10.1090/s0025-5718-1975-0381283-7
Autor:
Herbert E. Salzer
Publikováno v:
Numerische Mathematik. 3:120-124
u xx +u yy =u t Bairstow's method for improving an approximate real quadratic factor (x 2?px?q) of a polynomial with real coefficients which leaves a remainderr(x), is to determine ?p and ?q to satisfy $$0 = r\left( x \right) + \frac{{\partial r\left
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfb15907dd946625e1fe763ac6d37843
https://doi.org/10.1007/bf01386010
https://doi.org/10.1007/bf01386010