Ba, Fatima Antarou; Melnyk, Oleh; Wald, Christian; Steidl, Gabriele Sparse additive function decompositions facing basis transforms. arXiv:2403.15563 Preprint, arXiv:2403.15563 [math.NA] (2024). MSC: 15-XX 28Cxx 32C05 90C26 46Gxx 46Hxx 49M20 26B99 65D40 BibTeX Cite \textit{F. A. Ba} et al., ``Sparse additive function decompositions facing basis transforms'', Preprint, arXiv:2403.15563 [math.NA] (2024) Full Text: arXiv OA License
Goda, Takashi; Kazashi, Yoshihito; Tanaka, Ken’ichiro How sharp are error bounds? –lower bounds on quadrature worst-case errors for analytic functions. arXiv:2401.07196 Preprint, arXiv:2401.07196 [math.NA] (2024). MSC: 41A55 65D30 65D32 26E05 46E15 BibTeX Cite \textit{T. Goda} et al., ``How sharp are error bounds? --lower bounds on quadrature worst-case errors for analytic functions'', Preprint, arXiv:2401.07196 [math.NA] (2024) Full Text: arXiv OA License
Monga, Z. B.; Shah, W. M. Bound estimates of the eigenvalues of matrix polynomials. (English) Zbl 07822492 J. Anal. 31, No. 4, 2973-2983 (2023). MSC: 12D10 30C15 15A18 15A42 65F15 PDFBibTeX XMLCite \textit{Z. B. Monga} and \textit{W. M. Shah}, J. Anal. 31, No. 4, 2973--2983 (2023; Zbl 07822492) Full Text: DOI
Horsin, Thierry; Jendoubi, Mohamed Ali Asymptotic behavior of an adapted implicit discretization of slowly damped second order dynamical systems. (English) Zbl 1521.65067 Appl. Math. Optim. 88, No. 2, Paper No. 64, 26 p. (2023). MSC: 65L20 34D05 37N40 PDFBibTeX XMLCite \textit{T. Horsin} and \textit{M. A. Jendoubi}, Appl. Math. Optim. 88, No. 2, Paper No. 64, 26 p. (2023; Zbl 1521.65067) Full Text: DOI
Dell’Accio, Francesco; Sommariva, Alvise; Vianello, Marco Random sampling and unisolvent interpolation by almost everywhere analytic functions. (English) Zbl 07727108 Appl. Math. Lett. 145, Article ID 108734, 6 p. (2023). MSC: 41A05 41A15 65D15 PDFBibTeX XMLCite \textit{F. Dell'Accio} et al., Appl. Math. Lett. 145, Article ID 108734, 6 p. (2023; Zbl 07727108) Full Text: DOI arXiv
Poirier, Alfredo; Torres, Jesus Approximating roots by quadratic iteration. (English) Zbl 07710068 Proyecciones 42, No. 2, 407-431 (2023). Reviewer: José Manuel Gutiérrez Jimenez (Logroño) MSC: 37F10 37N40 12D10 26C10 30C15 65H04 PDFBibTeX XMLCite \textit{A. Poirier} and \textit{J. Torres}, Proyecciones 42, No. 2, 407--431 (2023; Zbl 07710068) Full Text: DOI
Schleicher, Dierk On the efficient global dynamics of Newton’s method for complex polynomials. (English) Zbl 1519.37112 Nonlinearity 36, No. 2, 1349-1377 (2023). Reviewer: Mohammad Sajid (Buraydah) MSC: 37N30 37F20 37F10 65H04 65E05 12D10 30C15 PDFBibTeX XMLCite \textit{D. Schleicher}, Nonlinearity 36, No. 2, 1349--1377 (2023; Zbl 1519.37112) Full Text: DOI arXiv
Batir, Necdet; Choi, Junesang Four types of variant Euler harmonic sums. arXiv:2301.06317 Preprint, arXiv:2301.06317 [math.NT] (2023). MSC: 11B65 11M06 26B15 30B40 30D05 33B15 40A05 40A10 40B05 65B10 BibTeX Cite \textit{N. Batir} and \textit{J. Choi}, ``Four types of variant Euler harmonic sums'', Preprint, arXiv:2301.06317 [math.NT] (2023) Full Text: arXiv OA License
Chaiya, Malinee; Chaiya, Somjate A uniform bound for the distance to a root of complex polynomials under Newton’s method. (English) Zbl 1524.26006 Bull. Iran. Math. Soc. 48, No. 6, 3619-3635 (2022). MSC: 26A18 30C15 65H05 PDFBibTeX XMLCite \textit{M. Chaiya} and \textit{S. Chaiya}, Bull. Iran. Math. Soc. 48, No. 6, 3619--3635 (2022; Zbl 1524.26006) Full Text: DOI
Ha, Huy Vui; Nguyen, Thi Thao Łojasiewicz gradient inequalities for polynomial functions and some applications. (English) Zbl 1516.26010 J. Math. Anal. Appl. 509, No. 1, Article ID 125950, 37 p. (2022). Reviewer: Tien-Son Pham (Dalat) MSC: 26C05 65K05 26D05 65K10 90C23 PDFBibTeX XMLCite \textit{H. V. Ha} and \textit{T. T. Nguyen}, J. Math. Anal. Appl. 509, No. 1, Article ID 125950, 37 p. (2022; Zbl 1516.26010) Full Text: DOI
Bilski, Marcin; Scheiblechner, Peter Effective approximation of the solutions of algebraic equations. (English) Zbl 1476.14104 J. Symb. Comput. 109, 144-176 (2022). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q99 32B10 32C07 65H10 68W30 PDFBibTeX XMLCite \textit{M. Bilski} and \textit{P. Scheiblechner}, J. Symb. Comput. 109, 144--176 (2022; Zbl 1476.14104) Full Text: DOI arXiv
Gardini, Laura; Schmitt, Noemi; Sushko, Iryna; Tramontana, Fabio; Westerhoff, Frank Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps. (English) Zbl 1481.39015 J. Difference Equ. Appl. 27, No. 4, 557-578 (2021). MSC: 39A28 37G10 39A60 26C10 30C15 65H04 PDFBibTeX XMLCite \textit{L. Gardini} et al., J. Difference Equ. Appl. 27, No. 4, 557--578 (2021; Zbl 1481.39015) Full Text: DOI Link
Stefan, Anthony; Welters, Aaron Continuity of the roots of a nonmonic polynomial and applications in multivariate stability theory. arXiv:2112.14287 Preprint, arXiv:2112.14287 [math.CA] (2021). MSC: 30C15 32A08 65H04 12D10 32A60 93D09 BibTeX Cite \textit{A. Stefan} and \textit{A. Welters}, ``Continuity of the roots of a nonmonic polynomial and applications in multivariate stability theory'', Preprint, arXiv:2112.14287 [math.CA] (2021) Full Text: arXiv OA License
Friedland, S.; Melman, A. A note on Hermitian positive semidefinite matrix polynomials. (English) Zbl 1458.15058 Linear Algebra Appl. 598, 105-109 (2020). MSC: 15B48 15A15 12D10 30C15 47J10 65H04 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{A. Melman}, Linear Algebra Appl. 598, 105--109 (2020; Zbl 1458.15058) Full Text: DOI
Imbach, Rémi; Pan, Victor Y.; Yap, Chee; Kotsireas, Ilias S.; Zaderman, Vitaly Root-finding with implicit deflation. (English) Zbl 1439.65063 England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 236-245 (2019). Reviewer: Anton Iliev (Plovdiv) MSC: 65H04 65H05 26C10 30C15 PDFBibTeX XMLCite \textit{R. Imbach} et al., Lect. Notes Comput. Sci. 11661, 236--245 (2019; Zbl 1439.65063) Full Text: DOI arXiv
Melman, A. Extensions of the Eneström-Kakeya theorem for matrix polynomials. (English) Zbl 1443.12001 Spec. Matrices 7, 304-315 (2019). MSC: 12D10 30C15 65H05 PDFBibTeX XMLCite \textit{A. Melman}, Spec. Matrices 7, 304--315 (2019; Zbl 1443.12001) Full Text: DOI
Semenov, V. Yu.; Semenova, E. V. Method for localizing the zeros of analytic functions based on the Krawczyk operator. (English. Russian original) Zbl 07097109 Cybern. Syst. Anal. 55, No. 3, 514-520 (2019); translation from Kibern. Sist. Anal. 2019, No. 3, 194-200 (2019). MSC: 65-XX 26-XX PDFBibTeX XMLCite \textit{V. Yu. Semenov} and \textit{E. V. Semenova}, Cybern. Syst. Anal. 55, No. 3, 514--520 (2019; Zbl 07097109); translation from Kibern. Sist. Anal. 2019, No. 3, 194--200 (2019) Full Text: DOI
Wang, Min; Su, Yangfeng A further analysis of backward error in polynomial deflation. (English) Zbl 1412.26030 BIT 59, No. 1, 271-297 (2019). Reviewer: Piroska Lakatos (Debrecen) MSC: 26C10 30C15 65G50 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Y. Su}, BIT 59, No. 1, 271--297 (2019; Zbl 1412.26030) Full Text: DOI
Miller, Patrick Arthur Extending a function just by multiplying and dividing function values: smoothness and prime identities. (English) Zbl 1415.30004 Int. J. Math. Comput. Sci. 14, No. 1, 79-101 (2019). MSC: 30B40 26A15 65E05 PDFBibTeX XMLCite \textit{P. A. Miller}, Int. J. Math. Comput. Sci. 14, No. 1, 79--101 (2019; Zbl 1415.30004) Full Text: arXiv Link
Li, Jianze; Zhang, Shuzhong Polar decomposition based algorithms on the product of Stiefel manifolds with applications in tensor approximation. arXiv:1912.10390 Preprint, arXiv:1912.10390 [math.NA] (2019). MSC: 15A23 15A69 26E05 49M05 65F30 BibTeX Cite \textit{J. Li} and \textit{S. Zhang}, ``Polar decomposition based algorithms on the product of Stiefel manifolds with applications in tensor approximation'', Preprint, arXiv:1912.10390 [math.NA] (2019) Full Text: arXiv OA License
Melman, Aaron Optimization of a Cauchy radius improvement. (English) Zbl 1474.12001 Pure Appl. Funct. Anal. 3, No. 4, 639-651 (2018). MSC: 12D10 30C15 65H04 65K10 PDFBibTeX XMLCite \textit{A. Melman}, Pure Appl. Funct. Anal. 3, No. 4, 639--651 (2018; Zbl 1474.12001) Full Text: Link
Simsek, Yilmaz Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. (English) Zbl 06986336 Math. Methods Appl. Sci. 41, No. 16, 6934-6954 (2018). MSC: 47B39 42B05 05A15 05A10 11B68 05A19 12D10 26C05 47B33 47B39 54C30 65Qxx PDFBibTeX XMLCite \textit{Y. Simsek}, Math. Methods Appl. Sci. 41, No. 16, 6934--6954 (2018; Zbl 06986336) Full Text: DOI
Kawamura, Akitoshi; Steinberg, Florian; Thies, Holger Parameterized complexity for uniform operators on multidimensional analytic functions and ODE solving. (English) Zbl 1509.68110 Moss, Lawrence S. (ed.) et al., Logic, language, information, and computation. 25th international workshop, WoLLIC 2018, Bogota, Colombia, July 24–27, 2018. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 10944, 223-236 (2018). MSC: 68Q27 03D78 26E05 34A25 65Y20 PDFBibTeX XMLCite \textit{A. Kawamura} et al., Lect. Notes Comput. Sci. 10944, 223--236 (2018; Zbl 1509.68110) Full Text: DOI
Bonneux, Niels; Stevens, Marco Recurrence relations for Wronskian Hermite polynomials. (English) Zbl 1388.05016 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 048, 29 p. (2018). MSC: 05A17 12E10 26C05 33C45 65Q30 PDFBibTeX XMLCite \textit{N. Bonneux} and \textit{M. Stevens}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 048, 29 p. (2018; Zbl 1388.05016) Full Text: DOI arXiv
Storch, Uwe; Wiebe, Hartmut Analysis of one variable. Analytical functions, differentiation and integration. (Analysis einer Veränderlichen. Analytische Funktionen, Differenziation und Integration.) (German) Zbl 1403.26003 Berlin: Springer Spektrum (ISBN 978-3-662-56572-8/pbk; 978-3-662-56573-5/ebook). vii, 364 p. (2018). Reviewer: Werner Kleinert (Berlin) MSC: 26-01 30-01 46-01 65-01 PDFBibTeX XMLCite \textit{U. Storch} and \textit{H. Wiebe}, Analysis einer Veränderlichen. Analytische Funktionen, Differenziation und Integration. Berlin: Springer Spektrum (2018; Zbl 1403.26003) Full Text: DOI
Higashitani, Akihiro; Kummer, Mario; Michałek, Mateusz Interlacing Ehrhart polynomials of reflexive polytopes. (English) Zbl 1377.26016 Sel. Math., New Ser. 23, No. 4, 2977-2998 (2017). Reviewer: Mihai Cipu (Bucureşti) MSC: 26C10 52B20 12D10 30C15 05C31 33C45 65H04 PDFBibTeX XMLCite \textit{A. Higashitani} et al., Sel. Math., New Ser. 23, No. 4, 2977--2998 (2017; Zbl 1377.26016) Full Text: DOI arXiv
Torrente, M.; Beltrametti, M. C.; Sendra, J. R. Perturbation of polynomials and applications to the Hough transform. (English) Zbl 1368.65070 J. Algebra 486, 328-359 (2017). MSC: 65H04 65E05 30C15 32A30 PDFBibTeX XMLCite \textit{M. Torrente} et al., J. Algebra 486, 328--359 (2017; Zbl 1368.65070) Full Text: DOI
Torrente, Maria-Laura; Beltrametti, Mauro C.; Sommese, Andrew J. Perturbation results on the zero-locus of a polynomial. (English) Zbl 1354.65093 J. Symb. Comput. 80, Part 2, 307-328 (2017). MSC: 65H04 65E05 30C15 PDFBibTeX XMLCite \textit{M.-L. Torrente} et al., J. Symb. Comput. 80, Part 2, 307--328 (2017; Zbl 1354.65093) Full Text: DOI Link
Calogero, Francesco Comment on “Nonlinear differential algorithm to compute all the zeros of a generic polynomial” [J. Math. Phys. 57, 083508 (2016)]. (English) Zbl 1353.65039 J. Math. Phys. 57, No. 10, 104101, 4 p. (2016). MSC: 65H04 26C10 30C15 12D10 12Y05 PDFBibTeX XMLCite \textit{F. Calogero}, J. Math. Phys. 57, No. 10, 104101, 4 p. (2016; Zbl 1353.65039) Full Text: DOI
Deaño, Alfredo; Huybrechs, Daan; Opsomer, Peter Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. (English) Zbl 1347.33021 Adv. Comput. Math. 42, No. 4, 791-822 (2016). MSC: 33C45 26C05 30E10 65D15 PDFBibTeX XMLCite \textit{A. Deaño} et al., Adv. Comput. Math. 42, No. 4, 791--822 (2016; Zbl 1347.33021) Full Text: DOI arXiv
Calogero, Francesco Nonlinear differential algorithm to compute all the zeros of a generic polynomial. (English) Zbl 1348.65084 J. Math. Phys. 57, No. 8, 083508, 3 p. (2016). MSC: 65H04 26C10 30C15 12D10 12Y05 PDFBibTeX XMLCite \textit{F. Calogero}, J. Math. Phys. 57, No. 8, 083508, 3 p. (2016; Zbl 1348.65084) Full Text: DOI arXiv
Navarrete, Raymundo; Viswanath, Divakar Accuracy and stability of inversion of power series. (English) Zbl 1334.65038 IMA J. Numer. Anal. 36, No. 1, 421-436 (2016). MSC: 65D15 26E05 65H04 PDFBibTeX XMLCite \textit{R. Navarrete} and \textit{D. Viswanath}, IMA J. Numer. Anal. 36, No. 1, 421--436 (2016; Zbl 1334.65038) Full Text: DOI arXiv
Collins, George E. Continued fraction real root isolation using the Hong root bound. (English) Zbl 1329.65094 J. Symb. Comput. 72, 21-54 (2016). MSC: 65H04 11A55 11Y65 12D10 26C10 30C15 65Y20 68W30 PDFBibTeX XMLCite \textit{G. E. Collins}, J. Symb. Comput. 72, 21--54 (2016; Zbl 1329.65094) Full Text: DOI
Ito, Shinji; Aishima, Kensuke; Nara, Takaaki; Sugihara, Masaaki Orthogonal polynomial approach to estimation of poles of rational functions from data on open curves. (English) Zbl 1310.65030 J. Comput. Appl. Math. 273, 326-345 (2015). MSC: 65E05 30C10 30C15 33C45 26C15 PDFBibTeX XMLCite \textit{S. Ito} et al., J. Comput. Appl. Math. 273, 326--345 (2015; Zbl 1310.65030) Full Text: DOI
Sekigawa, Hiroshi The nearest polynomial to multiple given polynomials with a given zero. (English) Zbl 1345.68295 Watt, Stephen M. (ed.) et al., Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28–31, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2963-7). 144-145 (2014). MSC: 68W30 12D10 12Y05 30C15 65H04 PDFBibTeX XMLCite \textit{H. Sekigawa}, in: Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28--31, 2014. New York, NY: Association for Computing Machinery (ACM). 144--145 (2014; Zbl 1345.68295) Full Text: DOI
Dalal, Aseem; Govil, N. K. Annulus containing all the zeros of a polynomial. (English) Zbl 1338.26008 Appl. Math. Comput. 249, 429-435 (2014). MSC: 26C10 30C10 30C15 65H04 PDFBibTeX XMLCite \textit{A. Dalal} and \textit{N. K. Govil}, Appl. Math. Comput. 249, 429--435 (2014; Zbl 1338.26008) Full Text: DOI
Lu, Jiankang; Chen, Haibiao; Jing, Ruixing A fast parallel method for polynomial evaluation at points in arithmetic progressions. (English) Zbl 1324.65166 Chin. Q. J. Math. 29, No. 4, 509-515 (2014). MSC: 65Y05 26C05 65D20 PDFBibTeX XMLCite \textit{J. Lu} et al., Chin. Q. J. Math. 29, No. 4, 509--515 (2014; Zbl 1324.65166)
Cao, Yanzhao; Jiang, Ying; Xu, Yuesheng Orthogonal polynomial expansions on sparse grids. (English) Zbl 1300.65009 J. Complexity 30, No. 6, 683-715 (2014). MSC: 65D15 33C45 65T50 26E05 65N35 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Complexity 30, No. 6, 683--715 (2014; Zbl 1300.65009) Full Text: DOI
Deaño, Alfredo Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval. (English) Zbl 1298.33014 J. Approx. Theory 186, 33-63 (2014). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 26C10 30C15 65D32 65E05 PDFBibTeX XMLCite \textit{A. Deaño}, J. Approx. Theory 186, 33--63 (2014; Zbl 1298.33014) Full Text: DOI arXiv
Melman, A. Implementation of Pellet’s theorem. (English) Zbl 1311.12002 Numer. Algorithms 65, No. 2, 293-304 (2014). MSC: 12D10 30C10 30C15 65H04 PDFBibTeX XMLCite \textit{A. Melman}, Numer. Algorithms 65, No. 2, 293--304 (2014; Zbl 1311.12002) Full Text: DOI arXiv
Hinrichs, Aicke; Novak, Erich; Ullrich, Mario On weak tractability of the Clenshaw-Curtis Smolyak algorithm. (English) Zbl 1295.41028 J. Approx. Theory 183, 31-44 (2014). Reviewer: Peter Massopust (München) MSC: 41A55 65D30 26E05 PDFBibTeX XMLCite \textit{A. Hinrichs} et al., J. Approx. Theory 183, 31--44 (2014; Zbl 1295.41028) Full Text: DOI arXiv
Malyshev, A. N. On the acceleration of an algorithm for polynomial factorization. (English. Russian original) Zbl 1281.65076 Dokl. Math. 88, No. 2, 586-589 (2013); translation from Dokl. Akad. Nauk. 452, No. 6, 604-607 (2013). MSC: 65H04 65E05 30C15 12D05 PDFBibTeX XMLCite \textit{A. N. Malyshev}, Dokl. Math. 88, No. 2, 586--589 (2013; Zbl 1281.65076); translation from Dokl. Akad. Nauk. 452, No. 6, 604--607 (2013) Full Text: DOI
Petković, Miodrag S.; Neta, Beny; Petković, Ljiljana D.; Džunić, Jovana Multipoint methods for solving nonlinear equations. (English) Zbl 1286.65060 Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-397013-8/hbk). xiii, 299 p. (2013). Reviewer: B. Döring (Düsseldorf) MSC: 65H05 30C15 65G30 65H04 65E05 26C10 65-02 PDFBibTeX XMLCite \textit{M. S. Petković} et al., Multipoint methods for solving nonlinear equations. Amsterdam: Elsevier/Academic Press (2013; Zbl 1286.65060)
Galligo, André Deformation of roots of polynomials via fractional derivatives. (English) Zbl 1261.65046 J. Symb. Comput. 52, 35-50 (2013). MSC: 65H04 65D07 26A33 12D10 65E05 30C15 65H20 68W30 PDFBibTeX XMLCite \textit{A. Galligo}, J. Symb. Comput. 52, 35--50 (2013; Zbl 1261.65046) Full Text: DOI
Liu, Landong; Yin, Xiaobo A family of simultaneous zero-finding accelerated methods. (English) Zbl 1289.65122 Chin. J. Eng. Math. 29, No. 5, 749-756 (2012). MSC: 65H04 65Y05 26C10 30C15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{X. Yin}, Chin. J. Eng. Math. 29, No. 5, 749--756 (2012; Zbl 1289.65122)
Eisermann, Michael The fundamental theorem of algebra made effective: an elementary real-algebraic proof via Sturm chains. (English) Zbl 1267.26016 Am. Math. Mon. 119, No. 9, 715-752 (2012). MSC: 26C10 30C15 65H04 65G20 97I20 PDFBibTeX XMLCite \textit{M. Eisermann}, Am. Math. Mon. 119, No. 9, 715--752 (2012; Zbl 1267.26016) Full Text: DOI arXiv
Güttel, Stefan; Klein, Georges Convergence of linear barycentric rational interpolation for analytic functions. (English) Zbl 1259.65014 SIAM J. Numer. Anal. 50, No. 5, 2560-2580 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A20 26E05 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{G. Klein}, SIAM J. Numer. Anal. 50, No. 5, 2560--2580 (2012; Zbl 1259.65014) Full Text: DOI Link
Collins, George E.; Krandick, Werner On the computing time of the continued fractions method. (English) Zbl 1250.65066 J. Symb. Comput. 47, No. 11, 1372-1412 (2012). Reviewer: Costică Moroşanu (Iaşi) MSC: 65H04 11A55 11B39 65Y20 12D10 26C10 30C15 PDFBibTeX XMLCite \textit{G. E. Collins} and \textit{W. Krandick}, J. Symb. Comput. 47, No. 11, 1372--1412 (2012; Zbl 1250.65066) Full Text: DOI
Dehmer, Matthias; Mowshowitz, Abbe Bounds on the moduli of polynomial zeros. (English) Zbl 1251.65066 Appl. Math. Comput. 218, No. 8, 4128-4137 (2011). Reviewer: Juri M. Rappoport (Moskva) MSC: 65H04 26C10 30C15 PDFBibTeX XMLCite \textit{M. Dehmer} and \textit{A. Mowshowitz}, Appl. Math. Comput. 218, No. 8, 4128--4137 (2011; Zbl 1251.65066) Full Text: DOI
Bruno, A. D.; Batkhin, A. B. Asymptotic solution of an algebraic equation. (English. Russian original) Zbl 1236.65049 Dokl. Math. 84, No. 2, 634-639 (2011); translation from Dokl. Akad. Nauk 440, No. 3, 295-300 (2011). MSC: 65H04 26C10 30C15 PDFBibTeX XMLCite \textit{A. D. Bruno} and \textit{A. B. Batkhin}, Dokl. Math. 84, No. 2, 634--639 (2011; Zbl 1236.65049); translation from Dokl. Akad. Nauk 440, No. 3, 295--300 (2011) Full Text: DOI
Nurges, Ülo Discussion on: “On the generation of random stable polynomials”. (English) Zbl 1227.65007 Eur. J. Control 17, No. 2, 160-161 (2011). MSC: 65C05 65D20 33F05 26C05 PDFBibTeX XMLCite \textit{Ü. Nurges}, Eur. J. Control 17, No. 2, 160--161 (2011; Zbl 1227.65007) Full Text: DOI
Shcherbakov, Pavel; Dabbene, Fabrizio On the generation of random stable polynomials. (English) Zbl 1227.65008 Eur. J. Control 17, No. 2, 145-159 (2011). MSC: 65C05 65D20 33F05 26C05 PDFBibTeX XMLCite \textit{P. Shcherbakov} and \textit{F. Dabbene}, Eur. J. Control 17, No. 2, 145--159 (2011; Zbl 1227.65008) Full Text: DOI
Jiang, Hao; Barrio, Roberto; Li, Housen; Liao, Xiangke; Cheng, Lizhi; Su, Fang Accurate evaluation of a polynomial in Chebyshev form. (English) Zbl 1228.65028 Appl. Math. Comput. 217, No. 23, 9702-9716 (2011). Reviewer: Aurelian Bejancu (Safat) MSC: 65D20 26C05 33B10 PDFBibTeX XMLCite \textit{H. Jiang} et al., Appl. Math. Comput. 217, No. 23, 9702--9716 (2011; Zbl 1228.65028) Full Text: DOI
Rubió-Massegú, Josep Note on the location of zeros of polynomials. arXiv:1102.2510 Preprint, arXiv:1102.2510 [math.CV] (2011). MSC: 26C10 30C15 65H05 BibTeX Cite \textit{J. Rubió-Massegú}, ``Note on the location of zeros of polynomials'', Preprint, arXiv:1102.2510 [math.CV] (2011) Full Text: arXiv OA License
Lilly, Jonathan M.; Olhede, Sofia C. On the analytic wavelet transform. (English) Zbl 1366.42036 IEEE Trans. Inf. Theory 56, No. 8, 4135-4156 (2010). MSC: 42C40 26E05 65T60 94A11 PDFBibTeX XMLCite \textit{J. M. Lilly} and \textit{S. C. Olhede}, IEEE Trans. Inf. Theory 56, No. 8, 4135--4156 (2010; Zbl 1366.42036) Full Text: DOI arXiv
Koepf, Wolfram Efficient computation of truncated power series: direct approach versus Newton’s method. (English) Zbl 1254.65026 Util. Math. 83, 37-55 (2010). MSC: 65D15 26E05 PDFBibTeX XMLCite \textit{W. Koepf}, Util. Math. 83, 37--55 (2010; Zbl 1254.65026)
Argyros, Ioannis K.; Hilout, Saïd Locating roots of a certain class of polynomials. (English) Zbl 1203.26023 East Asian Math. J. 26, No. 3, 351-363 (2010). MSC: 26C10 12D10 30C15 30C10 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, East Asian Math. J. 26, No. 3, 351--363 (2010; Zbl 1203.26023)
Piret, Kathy; Verschelde, Jan Sweeping algebraic curves for singular solutions. (English) Zbl 1189.65101 J. Comput. Appl. Math. 234, No. 4, 1228-1237 (2010). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{K. Piret} and \textit{J. Verschelde}, J. Comput. Appl. Math. 234, No. 4, 1228--1237 (2010; Zbl 1189.65101) Full Text: DOI arXiv
Sen, S. K.; Agarwal, Ravi P. Zero-clusters of polynomials: best approach in supercomputing era. (English) Zbl 1186.65059 Appl. Math. Comput. 215, No. 12, 4080-4093 (2010). MSC: 65H04 26C10 30C15 PDFBibTeX XMLCite \textit{S. K. Sen} and \textit{R. P. Agarwal}, Appl. Math. Comput. 215, No. 12, 4080--4093 (2010; Zbl 1186.65059) Full Text: DOI
Argyros, I. K.; Hilout, S. Enclosing roots of polynomial equations and their applications to iterative processes. (English) Zbl 1205.26023 Surv. Math. Appl. 4, 119-132 (2009). Reviewer: Armin Rainer (Wien) MSC: 26C10 65H04 30C15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, Surv. Math. Appl. 4, 119--132 (2009; Zbl 1205.26023) Full Text: EuDML EMIS
Hristov, Vladimir; Kjurkchiev, Nikolay; Iliev, Anton On the solutions of polynomial systems obtained with Weierstrass method. (English) Zbl 1199.65169 C. R. Acad. Bulg. Sci. 62, No. 11, 1371-1376 (2009). Reviewer: Petar Popivanov (Sofia) MSC: 65H10 65H04 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{V. Hristov} et al., C. R. Acad. Bulg. Sci. 62, No. 11, 1371--1376 (2009; Zbl 1199.65169)
Graillat, Stef; Langlois, Philippe; Louvet, Nicolas Algorithms for accurate, validated and fast polynomial evaluation. (English) Zbl 1184.65029 Japan J. Ind. Appl. Math. 26, No. 2-3, 191-214 (2009). MSC: 65D20 26A09 26C05 12Y05 PDFBibTeX XMLCite \textit{S. Graillat} et al., Japan J. Ind. Appl. Math. 26, No. 2--3, 191--214 (2009; Zbl 1184.65029) Full Text: DOI Euclid
Ioffe, A. D. An invitation to tame optimization. (English) Zbl 1182.90083 SIAM J. Optim. 19, No. 4, 1894-1917 (2009). MSC: 90C30 49J53 26E99 58K05 32B20 49K05 26D10 65K10 PDFBibTeX XMLCite \textit{A. D. Ioffe}, SIAM J. Optim. 19, No. 4, 1894--1917 (2009; Zbl 1182.90083) Full Text: DOI
Morgan, Alexander Solving polynomial systems using continuation for engineering and scientific problems. (English) Zbl 1170.65316 Classics in Applied Mathematics 57. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). (ISBN 978-0-898716-78-8/pbk; 978-0-898719-03-1/ebook). xxiv, 303 p., references and index 535-546. (2009). MSC: 65H10 65-02 65H20 26C10 30C15 00A69 12Y05 PDFBibTeX XMLCite \textit{A. Morgan}, Solving polynomial systems using continuation for engineering and scientific problems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). (2009; Zbl 1170.65316) Full Text: DOI
Zhang, Yi A family of simultaneous zero-finding methods for polynomials. (Chinese. English summary) Zbl 1174.65404 Numer. Math., Nanjing 30, No. 3, 227-233 (2008). MSC: 65H05 30C15 26C10 12Y05 PDFBibTeX XMLCite \textit{Y. Zhang}, Numer. Math., Nanjing 30, No. 3, 227--233 (2008; Zbl 1174.65404)
Loginov, B. V.; Makeeva, O. V On application of pseudoperturbation method to the solving of algebraic equations. (Russian. English summary) Zbl 1164.65016 Tr. Sredn. Mat. Obshch. 10, No. 1, 315-320 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 65H05 26C10 30C15 12Y05 PDFBibTeX XMLCite \textit{B. V. Loginov} and \textit{O. V Makeeva}, Tr. Sredn. Mat. Obshch. 10, No. 1, 315--320 (2008; Zbl 1164.65016)
Petković, Miodrag S. On new higher order families of simultaneous methods for finding polynomial zeros. (English) Zbl 1157.65026 Linear Algebra Appl. 429, No. 10, 2602-2622 (2008). Reviewer: Jiří Vaníček (Praha) MSC: 65H05 12Y05 13P05 26C10 30C15 PDFBibTeX XMLCite \textit{M. S. Petković}, Linear Algebra Appl. 429, No. 10, 2602--2622 (2008; Zbl 1157.65026) Full Text: DOI
Akritas, Alkiviadis G.; Strzeboński, Adam W.; Vigklas, Panagiotis S. On the various bisection methods derived from Vincent’s theorem. (English) Zbl 1152.65055 Serdica J. Comput. 2, No. 1, 89-104 (2008). MSC: 65H05 65E05 12Y05 26C10 30C15 13P05 PDFBibTeX XMLCite \textit{A. G. Akritas} et al., Serdica J. Comput. 2, No. 1, 89--104 (2008; Zbl 1152.65055) Full Text: EuDML
Cabuzel, Catherine; Pietrus, Alain Local convergence of Newton’s method for subanalytic variational inclusions. (English) Zbl 1191.49032 Positivity 12, No. 3, 525-533 (2008). MSC: 49M15 49J53 47H04 65K10 14P15 PDFBibTeX XMLCite \textit{C. Cabuzel} and \textit{A. Pietrus}, Positivity 12, No. 3, 525--533 (2008; Zbl 1191.49032) Full Text: DOI
Petković, Miodrag Point estimation of root finding methods. (English) Zbl 1160.65017 Lecture Notes in Mathematics 1933. Berlin: Springer (ISBN 978-3-540-77850-9/pbk). xii, 210 p. (2008). Reviewer: George A. Gravvanis (Xanthi) MSC: 65H05 65-02 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{M. Petković}, Point estimation of root finding methods. Berlin: Springer (2008; Zbl 1160.65017) Full Text: DOI
Lewis, Robert H. Heuristics to accelerate the Dixon resultant. (English) Zbl 1138.65037 Math. Comput. Simul. 77, No. 4, 400-407 (2008). MSC: 65H10 12Y05 26C10 30C15 65F40 PDFBibTeX XMLCite \textit{R. H. Lewis}, Math. Comput. Simul. 77, No. 4, 400--407 (2008; Zbl 1138.65037) Full Text: DOI
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Higher-order deflation for polynomial systems with isolated singular solutions. (English) Zbl 1138.65038 Dickenstein, Alicia (ed.) et al., Algorithms in algebraic geometry. Based on the workshop, Minneapolis, MN, USA, September 18–22, 2006. New York, NY: Springer (ISBN 978-0-387-75154-2/hbk). The IMA Volumes in Mathematics and its Applications 146, 79-97 (2008). MSC: 65H10 12Y05 26C10 30C15 68W30 PDFBibTeX XMLCite \textit{A. Leykin} et al., IMA Vol. Math. Appl. 146, 79--97 (2008; Zbl 1138.65038) Full Text: arXiv
Wang, Qiuhua; Zhang, Xingdong The fast and parallel Halley algorithm for finding all zeros of a polynomial. (Chinese. English summary) Zbl 1174.65403 J. Shandong Univ., Nat. Sci. 42, No. 11, 114-120 (2007). MSC: 65H05 65Y05 65G30 26C10 30C15 12Y05 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{X. Zhang}, J. Shandong Univ., Nat. Sci. 42, No. 11, 114--120 (2007; Zbl 1174.65403)
Jenkinson, O.; Pollicott, M. A dynamical approach to accelerating numerical integration with equidistributed points. (English) Zbl 1166.65011 Proc. Steklov Inst. Math. 256, 275-289 (2007) and Tr. Mat. Inst. Steklova 256 (2007). Reviewer: Afrodita Iorgulescu (Bucharest) MSC: 65D32 37N30 26E05 41A55 PDFBibTeX XMLCite \textit{O. Jenkinson} and \textit{M. Pollicott}, Proc. Steklov Inst. Math. 256, 275--289 (2007; Zbl 1166.65011) Full Text: DOI
Iliev, A.; Kyurkchiev, N. One family of methods for finding of zeros of generalized polynomials. (English) Zbl 1143.65040 C. R. Acad. Bulg. Sci. 60, No. 2, 117-120 (2007). Reviewer: Petar Popivanov (Sofia) MSC: 65H05 12Y05 13P05 26C10 30C15 PDFBibTeX XMLCite \textit{A. Iliev} and \textit{N. Kyurkchiev}, C. R. Acad. Bulg. Sci. 60, No. 2, 117--120 (2007; Zbl 1143.65040)
Liu, Landon; Meng, Yang An accelerated iteration method for finding all zeros of a polynomial. (Chinese. English summary) Zbl 1143.65342 Chin. J. Eng. Math. 24, No. 5, 935-938 (2007). MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{Y. Meng}, Chin. J. Eng. Math. 24, No. 5, 935--938 (2007; Zbl 1143.65342)
Petković, M. S.; Petković, Lj. D.; Simić, S. M. On the convergence of the third order root-solver. (English) Zbl 1142.65045 Facta Univ., Ser. Math. Inf. 22, No. 1, 91-103 (2007). Reviewer: Boško Jovanović (Beograd) MSC: 65H05 26C10 30C15 PDFBibTeX XMLCite \textit{M. S. Petković} et al., Facta Univ., Ser. Math. Inf. 22, No. 1, 91--103 (2007; Zbl 1142.65045)
Tao, Yuhui; Liang, Heng; Bai, Fengshan A hybrid algorithm for multi-homogeneous Bézout number. (English) Zbl 1122.65356 Appl. Math. Comput. 189, No. 2, 1755-1764 (2007). MSC: 65H20 65H10 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{Y. Tao} et al., Appl. Math. Comput. 189, No. 2, 1755--1764 (2007; Zbl 1122.65356) Full Text: DOI
Pakdemirli, M.; Yurtsever, H. A. Estimating roots of polynomials using perturbation theory. (English) Zbl 1119.65041 Appl. Math. Comput. 188, No. 2, 2025-2028 (2007). MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{M. Pakdemirli} and \textit{H. A. Yurtsever}, Appl. Math. Comput. 188, No. 2, 2025--2028 (2007; Zbl 1119.65041) Full Text: DOI
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Wang, Xinmao; Yan, Xiaodong Root-finding with eigen-solving. (English) Zbl 1117.65068 Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 185-210 (2007). MSC: 65H05 12Y05 26C10 30C15 65F15 PDFBibTeX XMLCite \textit{V. Y. Pan} et al., in: Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkhäuser. 185--210 (2007; Zbl 1117.65068)
Sekigawa, Hiroshi; Shirayanagi, Kiyoshi On the location of zero of an interval polynomial. (English) Zbl 1117.12001 Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 167-184 (2007). Reviewer: Maurice Mignotte (Strasbourg) MSC: 12D10 12Y05 65G30 26C10 30C15 PDFBibTeX XMLCite \textit{H. Sekigawa} and \textit{K. Shirayanagi}, in: Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkhäuser. 167--184 (2007; Zbl 1117.12001)
Du, Zilin; Sharma, Vikram; Yap, Chee K. Amortized bound for root isolation via Sturm sequences. (English) Zbl 1152.65426 Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 113-129 (2007). MSC: 65H05 12Y05 26C10 30C15 65Y20 PDFBibTeX XMLCite \textit{Z. Du} et al., in: Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkhäuser. 113--129 (2007; Zbl 1152.65426)
Petković, M. S.; Petković, L. D. Construction of zero-finding methods by Weierstrass functions. (English) Zbl 1114.65049 Appl. Math. Comput. 184, No. 2, 351-359 (2007). MSC: 65H05 12Y05 26C10 30C15 65G30 PDFBibTeX XMLCite \textit{M. S. Petković} and \textit{L. D. Petković}, Appl. Math. Comput. 184, No. 2, 351--359 (2007; Zbl 1114.65049) Full Text: DOI
Mizutani, Tomohiko; Takeda, Akiko; Kojima, Masakazu Dynamic enumeration of all mixed cells. (English) Zbl 1113.65055 Discrete Comput. Geom. 37, No. 3, 351-367 (2007). MSC: 65H10 65H20 12Y05 30C15 26C10 PDFBibTeX XMLCite \textit{T. Mizutani} et al., Discrete Comput. Geom. 37, No. 3, 351--367 (2007; Zbl 1113.65055) Full Text: DOI
Eigenwillig, Arno On multiple roots in Descartes’ rule and their distance to roots of higher derivatives. (English) Zbl 1117.26014 J. Comput. Appl. Math. 200, No. 1, 226-230 (2007). MSC: 26C10 30C15 65H05 PDFBibTeX XMLCite \textit{A. Eigenwillig}, J. Comput. Appl. Math. 200, No. 1, 226--230 (2007; Zbl 1117.26014) Full Text: DOI
Petković, Ljiljana D.; Petković, Miodrag S. On the fourth order root finding methods of Euler’s type. (English) Zbl 1164.65406 Novi Sad J. Math. 36, No. 2, 157-165 (2006). Reviewer: Boško Jovanović (Beograd) MSC: 65H05 65Y05 26C10 30C15 12Y05 65Y20 PDFBibTeX XMLCite \textit{L. D. Petković} and \textit{M. S. Petković}, Novi Sad J. Math. 36, No. 2, 157--165 (2006; Zbl 1164.65406) Full Text: EuDML
Gunji, T.; Kim, S.; Fujisawa, K.; Kojima, M. PHoMpara-parallel implementation of the polyhedral homotopy continuation method for polynomial systems. (English) Zbl 1122.65048 Computing 77, No. 4, 387-411 (2006). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{T. Gunji} et al., Computing 77, No. 4, 387--411 (2006; Zbl 1122.65048) Full Text: DOI
Proinov, P. D. Semilocal convergence of two iterative methods for simultaneous computation of polynomial zeros. (English) Zbl 1119.65043 C. R. Acad. Bulg. Sci. 59, No. 7, 705-712 (2006). Reviewer: Petar Popivanov (Sofia) MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{P. D. Proinov}, C. R. Acad. Bulg. Sci. 59, No. 7, 705--712 (2006; Zbl 1119.65043) Full Text: arXiv
Cui, Xiangzhao; Yang, Dadi; Long, Yao The fast Halley algorithm for finding all zeros of a polynomial. (Chinese. English summary) Zbl 1115.65054 Chin. J. Eng. Math. 23, No. 3, 511-517 (2006). MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{X. Cui} et al., Chin. J. Eng. Math. 23, No. 3, 511--517 (2006; Zbl 1115.65054)
Beltrán, C.; Pardo, L. M. On the complexity of non-universal polynomial equation solving: old and new results. (English) Zbl 1107.65316 Pardo, Luis M. (ed.) et al., Foundations of computational mathematics, Santander 2005. Selected papers based on the presentations at the international conference of the Foundations of Computational Mathematics (FoCM), Santander, Spain, June 30 – July 9, 2005. Cambridge: Cambridge University Press (ISBN 0-521-68161-8/pbk). London Mathematical Society Lecture Note Series 331, 1-35 (2006). MSC: 65H05 12Y05 26C10 30C15 65Y20 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, Lond. Math. Soc. Lect. Note Ser. 331, 1--35 (2006; Zbl 1107.65316)
Wang, Yumin Calculating formulas and convergence of roots for equation of 5th order. (Chinese. English summary) Zbl 1108.65051 J. Qufu Norm. Univ., Nat. Sci. 32, No. 3, 52-56 (2006). MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{Y. Wang}, J. Qufu Norm. Univ., Nat. Sci. 32, No. 3, 52--56 (2006; Zbl 1108.65051)
Petković, Miodrag S.; Petković, Ljiljana D. On the convergence of the sequences of Gerschgorin-like disks. (English) Zbl 1118.65041 Numer. Algorithms 42, No. 3-4, 363-377 (2006). MSC: 65H05 12Y05 26C10 65G30 30C15 65Y05 PDFBibTeX XMLCite \textit{M. S. Petković} and \textit{L. D. Petković}, Numer. Algorithms 42, No. 3--4, 363--377 (2006; Zbl 1118.65041) Full Text: DOI
Anguelov, Roumen; Markov, Svetoslav; Sendov, Blagovest On the normed linear space of Hausdorff continuous functions. (English) Zbl 1142.46316 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 5th international conference, LSSC 2005, Sozopol, Bulgaria, June 6–10, 2005. Revised papers. Berlin: Springer (ISBN 3-540-31994-8/pbk). Lecture Notes in Computer Science 3743, 281-288 (2006). MSC: 46E15 26A15 46B20 65G40 PDFBibTeX XMLCite \textit{R. Anguelov} et al., Lect. Notes Comput. Sci. 3743, 281--288 (2006; Zbl 1142.46316) Full Text: DOI
Petković, Miodrag; Rančić, Lidija; Milošević, Dušan Laguerre-like methods for the simultaneous approximation of polynomial multiple zeros. (English) Zbl 1103.65056 Yugosl. J. Oper. Res. 16, No. 1, 31-44 (2006). Reviewer: Boško Jovanović (Beograd) MSC: 65H05 65G30 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{M. Petković} et al., Yugosl. J. Oper. Res. 16, No. 1, 31--44 (2006; Zbl 1103.65056) Full Text: DOI
Zhang, Xin; Peng, Hong; Hu, Guiwu A high order iteration formula for the simultaneous inclusion of polynomial zeros. (English) Zbl 1126.65047 Appl. Math. Comput. 179, No. 2, 545-552 (2006). MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Comput. 179, No. 2, 545--552 (2006; Zbl 1126.65047) Full Text: DOI
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Newton’s method with deflation for isolated singularities of polynomial systems. (English) Zbl 1106.65046 Theor. Comput. Sci. 359, No. 1-3, 111-122 (2006). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 68W30 12Y05 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{A. Leykin} et al., Theor. Comput. Sci. 359, No. 1--3, 111--122 (2006; Zbl 1106.65046) Full Text: DOI arXiv
Iliev, Anton; Kyurkchiev, Nikolay; Fang, Qing On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials. (English) Zbl 1123.65038 Japan J. Ind. Appl. Math. 23, No. 1, 63-73 (2006). Reviewer: János Karátson (Budapest) MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{A. Iliev} et al., Japan J. Ind. Appl. Math. 23, No. 1, 63--73 (2006; Zbl 1123.65038) Full Text: DOI
Delgado, Jorge; Peña, Juan Manuel On the generalized Ball bases. (English) Zbl 1095.65013 Adv. Comput. Math. 24, No. 1-4, 263-280 (2006). MSC: 65D15 65Y20 26C05 41A10 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Adv. Comput. Math. 24, No. 1--4, 263--280 (2006; Zbl 1095.65013) Full Text: DOI
Li, Yong-Bin An alternative algorithm for computing the pseudo-remainder of multivariate polynomials. (English) Zbl 1092.65018 Appl. Math. Comput. 173, No. 1, 484-492 (2006). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65D20 12Y05 26C05 PDFBibTeX XMLCite \textit{Y.-B. Li}, Appl. Math. Comput. 173, No. 1, 484--492 (2006; Zbl 1092.65018) Full Text: DOI
Pourdarvish, Ahmad A reliable symbolic implementation of algorithm for calculating Adomian polynomials. (English) Zbl 1088.65021 Appl. Math. Comput. 172, No. 1, 545-550 (2006). MSC: 65D20 26C05 PDFBibTeX XMLCite \textit{A. Pourdarvish}, Appl. Math. Comput. 172, No. 1, 545--550 (2006; Zbl 1088.65021) Full Text: DOI