On nonlinear SOR-like methods, I — Applications to simultaneous methods for polynomial zeros

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167312 ◽

1997 ◽

Vol 14 (1) ◽

pp. 87-97 ◽

Author(s):

Tetsuro Yamamoto

Keyword(s):

Polynomial Zeros ◽

Simultaneous Methods

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Simultaneous methods for polynomial zeros

Multipoint Methods ◽

10.1016/b978-0-12-397013-8.00007-8 ◽

2013 ◽

pp. 239-280

Author(s):

Miodrag S. Petković ◽

Beny Neta ◽

Ljiljana D. Petković ◽

Jovana Džunić

Keyword(s):

Polynomial Zeros ◽

Simultaneous Methods

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Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112513 ◽

2020 ◽

Vol 368 ◽

pp. 112513 ◽

Author(s):

I. Petković ◽

Đ. Herceg

Keyword(s):

Computational Efficiency ◽

Polynomial Zeros ◽

Simultaneous Methods

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The Parallel Implementation of Simultaneous Methods for Finding the Polynomial Zeros

International Journal of Applied Physics and Mathematics ◽

10.17706/ijapm.2019.9.2.111-118 ◽

2019 ◽

Vol 9 (2) ◽

pp. 111-118

Author(s):

Eglantina Kalluci ◽

◽

Fatmir Hoxha ◽

Brikena Preni

Keyword(s):

Parallel Implementation ◽

Polynomial Zeros ◽

Simultaneous Methods

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A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich’s and Dochev–Byrnev’s methods

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.02.055 ◽

2016 ◽

Vol 284 ◽

pp. 102-114 ◽

Author(s):

Petko D. Proinov

Keyword(s):

Convergence Theorem ◽

Semilocal Convergence ◽

Polynomial Zeros ◽

Simultaneous Methods ◽

Semilocal Convergence Theorem

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A new fourth-order family of simultaneous methods for finding polynomial zeros

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.04.036 ◽

2005 ◽

Vol 164 (1) ◽

pp. 227-248 ◽

Author(s):

M.S. Petković ◽

L. Rančić

Keyword(s):

Fourth Order ◽

Polynomial Zeros ◽

Simultaneous Methods

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On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros

International Journal of Computer Mathematics ◽

10.1080/00207160600727310 ◽

2006 ◽

Vol 83 (3) ◽

pp. 299-317 ◽

Author(s):

M. S. Petković ◽

D. M. Milošević

Keyword(s):

Polynomial Zeros ◽

Simultaneous Methods ◽

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On new higher order families of simultaneous methods for finding polynomial zeros

Linear Algebra and its Applications ◽

10.1016/j.laa.2007.10.028 ◽

2008 ◽

Vol 429 (10) ◽

pp. 2602-2622 ◽

Author(s):

Miodrag S. Petković

Keyword(s):

Higher Order ◽

Polynomial Zeros ◽

Simultaneous Methods

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A note on some improvements of the simultaneous methods for determination of polynomial zeros

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(83)90028-6 ◽

1983 ◽

Vol 9 (1) ◽

pp. 65-69 ◽

Author(s):

M.S. Petković ◽

G.V. Milovanović

Keyword(s):

Polynomial Zeros ◽

Simultaneous Methods

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Optimal and nearly optimal algorithms for approximating polynomial zeros

Computers & Mathematics with Applications ◽

10.1016/0898-1221(96)00080-6 ◽

1996 ◽

Vol 31 (12) ◽

pp. 97-138 ◽

Author(s):

V.Y. Pan

Keyword(s):

Optimal Algorithms ◽

Polynomial Zeros

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Aberth's method for the parallel iterative finding of polynomial zeros

ACM SIGAPL APL Quote Quad ◽

10.1145/190468.190281 ◽

1994 ◽

Vol 25 (1) ◽

pp. 40-49 ◽

Author(s):

Tien Chi Chen ◽

Wai-Shing Luk

Keyword(s):

Polynomial Zeros ◽

Parallel Iterative

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