Tang, Ziyuan; Saad, Yousef A rational-Chebyshev projection method for nonlinear eigenvalue problems. (English) Zbl 07953733 Numer. Linear Algebra Appl. 31, No. 6, e2563, 27 p. (2024). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Bini, Dario A. Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis. (English) Zbl 1543.65067 ETNA, Electron. Trans. Numer. Anal. 61, 1-27 (2024). MSC: 65H04 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jia, Zhigang; Zhao, Linlin; Zhao, Meixiang Hermitian polynomial matrix equations and applications. (English) Zbl 1533.15009 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 347-371 (2023). MSC: 15A24 47A62 47J05 47H14 65F45 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Garijo, Antonio; Jarque, Xavier Dynamics of the secant map near infinity. (English) Zbl 1509.37043 J. Difference Equ. Appl. 28, No. 10, 1334-1347 (2022). Reviewer: Jonathan Hoseana (Bandung) MSC: 37E30 37C25 39A30 37N30 65H04 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chai, Qingdong; Wang, Yanqing; Teng, Meiwen Nonlinear free vibration of spinning cylindrical shells with arbitrary boundary conditions. (English) Zbl 1505.74068 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 8, 1203-1218 (2022). MSC: 74H45 74K25 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, S. R.; Wu, L. Z.; Huang, J. Application of an improved \(\mathrm{P}(m)\)-SOR iteration method for flow in partially saturated soils. (English) Zbl 1484.65066 Comput. Geosci. 26, No. 1, 131-145 (2022). MSC: 65F10 76S05 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Sadkane, Miloud Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials. (English) Zbl 1481.65078 Comput. Methods Appl. Math. 22, No. 1, 181-197 (2022). MSC: 65H17 65F15 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Nedzhibov, Gyurhan H. The Weierstrass iterative method as a Petrov-Galerkin method for solving eigenvalue problem. (English) Zbl 1480.65084 J. Comput. Appl. Math. 405, Article ID 113961, 9 p. (2022). MSC: 65F15 65H04 × Cite Format Result Cite Review PDF Full Text: DOI
Pandey, P.; Das, S.; Craciun, E.-M.; Sadowski, T. Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media. (English) Zbl 1521.76824 Meccanica 56, No. 1, 99-115 (2021). MSC: 76R50 76S05 76V05 76M99 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Ain, Qura Tul; Anjum, Naveed; He, Chun-Hui An analysis of time-fractional heat transfer problem using two-scale approach. (English) Zbl 1480.35386 GEM. Int. J. Geomath. 12, Paper No. 18, 10 p. (2021). MSC: 35R11 35A25 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Nadeem, Muhammad; He, Ji-Huan He-Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics. (English) Zbl 1472.35009 J. Math. Chem. 59, No. 5, 1234-1245 (2021). MSC: 35A15 35A22 35K57 44A10 49K20 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Dangal, T.; Ghimire, B. Khatri; Lamichhane, A. R. Polynomial particular solutions for finding critical domains for quenching problems. (English) Zbl 1480.65280 Int. J. Numer. Methods Appl. 19, No. 2, 143-158 (2020). MSC: 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Mourad E. H.; Saad, Nasser A discrete and \(q\) asymptotic iteration method. (English) Zbl 1454.39010 J. Difference Equ. Appl. 26, No. 4, 488-509 (2020). Reviewer: Jonathan Hoseana (Bandung) MSC: 39A10 39A13 65Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garijo, Antonio; Jarque, Xavier The secant map applied to a real polynomial with multiple roots. (English) Zbl 1456.37105 Discrete Contin. Dyn. Syst. 40, No. 12, 6783-6794 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 37N30 37G35 37C70 65H04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yongfeng; Liu, Haoyang; Wen, Zaiwen; Yuan, Ya-xiang Low-rank matrix iteration using polynomial-filtered subspace extraction. (English) Zbl 1452.65069 SIAM J. Sci. Comput. 42, No. 3, A1686-A1713 (2020). MSC: 65F15 65F55 90C06 90C22 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xuechuan; Xu, Qiuyi; Atluri, Satya N. Combination of the variational iteration method and numerical algorithms for nonlinear problems. (English) Zbl 1481.65114 Appl. Math. Modelling 79, 243-259 (2020). MSC: 65L60 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dou, Fangfang; Liu, Yanshan; Chen, C. S. The method of particular solutions for solving nonlinear Poisson problems. (English) Zbl 1442.35071 Comput. Math. Appl. 77, No. 2, 501-513 (2019). MSC: 35G20 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Garijo, Antonio; Jarque, Xavier Global dynamics of the real secant method. (English) Zbl 1428.37099 Nonlinearity 32, No. 11, 4557-4578 (2019). MSC: 37N30 26A18 65H04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Čermák, Martin; Hecht, Frédéric; Tang, Zuqi; Vohralík, Martin Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem. (English) Zbl 1448.65221 Numer. Math. 138, No. 4, 1027-1065 (2018). MSC: 65N30 65N15 65N22 65F10 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Mandal, Moumita; Nelakanti, Gnaneshwar Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations. (English) Zbl 1360.65308 J. Comput. Appl. Math. 319, 423-439 (2017). MSC: 65R20 45B05 45G10 47H30 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Ruben; Sagraloff, Michael; Sharma, Vikram; Xu, Juan; Yap, Chee Complexity analysis of root clustering for a complex polynomial. (English) Zbl 1364.30011 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 71-78 (2016). MSC: 30C15 65H04 65Y20 90C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scholz, Daniel Numerical analysis interactive. Understanding the basics, exploring models and applying methods with taramath. (Numerik interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden mit taramath.) (German) Zbl 1358.65002 Heidelberg: Springer Spektrum (ISBN 978-3-662-52939-3/pbk; 978-3-662-52940-9/ebook). xiv, 252 p. (2016). Reviewer: Michael Jung (Dresden) MSC: 65-01 97N10 00A06 68N15 65Fxx 65H10 65D05 65D32 65L05 65L06 65L10 65L12 65L60 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Proinov, Petko D. General convergence theorems for iterative processes and applications to the Weierstrass root-finding method. (English) Zbl 1333.65057 J. Complexity 33, 118-144 (2016). MSC: 65J15 47J25 65H04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hernández Paricio, Luis Javier Bivariate Newton-Raphson method and toroidal attraction basins. (English) Zbl 1333.65050 Numer. Algorithms 71, No. 2, 349-381 (2016). MSC: 65H04 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yu-Mei On \(m\)-step Hermitian and skew-Hermitian splitting preconditioning methods. (English) Zbl 1360.65095 J. Eng. Math. 93, 77-86 (2015). MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Li, Hou-Biao; Li, Liang; Luo, Wei-Hua On \(k\)-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations. (English) Zbl 1326.65120 Appl. Math. Lett. 42, 53-58 (2015). MSC: 65M22 35R11 65M06 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Szyld, Daniel B.; Xue, Fei Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms. (English) Zbl 1309.65060 Numer. Math. 129, No. 2, 383-403 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H17 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Fei; Wu, Wenyuan; Xia, Bican Real root isolation of polynomial equations based on hybrid computation. (English) Zbl 1336.65080 Feng, Ruyong (ed.) et al., Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14–17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26–28, 2012. Contributed papers and invited talks. Berlin: Springer (ISBN 978-3-662-43798-8/hbk; 978-3-662-43799-5/ebook). 375-396 (2014). MSC: 65H04 65H10 65H20 65G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korda, Milan; Henrion, Didier; Jones, Colin N. Convex computation of the maximum controlled invariant set for polynomial control systems. (English) Zbl 1311.49073 SIAM J. Control Optim. 52, No. 5, 2944-2969 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 49M27 49M37 65K05 90C22 90C25 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Eidelman, Yuli; Gohberg, Israel; Haimovici, Iulian Separable type representations of matrices and fast algorithms. Volume 2. Eigenvalue method. (English) Zbl 1280.65034 Operator Theory. Advances and Applications 235. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0611-4/hbk; 978-3-0348-0612-1/ebook; 978-3-0348-0728-9/set). xi, 359 p. (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F05 65F18 65-01 15A18 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Feinberg, Eugene A.; Huang, Jefferson Strong polynomiality of policy iterations for average-cost MDPs modeling replacement and maintenance problems. (English) Zbl 1286.90162 Oper. Res. Lett. 41, No. 3, 249-251 (2013). MSC: 90C40 90C60 90C05 × Cite Format Result Cite Review PDF Full Text: DOI
Calkin, Neil J.; Davis, Julia; Delcourt, Michelle; Engberg, Zebediah; Jacob, Jobby; James, Kevin Taking the convoluted out of Bernoulli convolutions: a discrete approach. (English) Zbl 1283.39006 Integers 13, Paper A19, 12 p. (2013). MSC: 39B12 × Cite Format Result Cite Review PDF Full Text: EMIS
Unger, Gerhard Convergence orders of iterative methods for nonlinear eigenvalue problems. (English) Zbl 1263.65049 Apel, Thomas (ed.) et al., Advanced finite element methods and applications. Berlin: Springer (ISBN 978-3-642-30315-9/hbk; 978-3-642-30316-6/ebook). Lecture Notes in Applied and Computational Mechanics 66, 217-237 (2013). MSC: 65H17 × Cite Format Result Cite Review PDF Full Text: DOI
Boyanova, P.; Georgiev, I.; Margenov, S.; Zikatanov, L. Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses. (English) Zbl 1258.65096 Math. Comput. Simul. 82, No. 10, 1964-1971 (2012). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65N30 65F08 65N55 35J25 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Çilingir, Figen; Jarque, Xavier On Newton’s method applied to real polynomials. (English) Zbl 1243.65048 J. Difference Equ. Appl. 18, No. 6, 1067-1076 (2012). MSC: 65H04 65E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ishizaki, Katsuya; Morosawa, Shunsuke; Yakou, Mitsunori Meromorphic solutions of functional equations \(f(G(z))=R(f(z))\). (English) Zbl 1254.39011 Complex Var. Elliptic Equ. 57, No. 1, 15-22 (2012). Reviewer: Kazuya Tohge (Kanazawa) MSC: 39B32 30D35 30D05 × Cite Format Result Cite Review PDF Full Text: DOI
Greco, Federico; Iannazzo, Bruno; Poloni, Federico The Padé iterations for the matrix sign function and their reciprocals are optimal. (English) Zbl 1233.65037 Linear Algebra Appl. 436, No. 3, 472-477 (2012). Reviewer: Alyson Reeves (Bowie) MSC: 65H04 65F30 65E05 41A21 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anh, Cung The; Hieu, Le Van Asymptotic behavior for retarded non-autonomous quasilinear parabolic equations. (English) Zbl 1273.35056 Int. J. Evol. Equ. 6, No. 3, 209-232 (2011). MSC: 35B41 35B35 35K90 35K20 35D30 35K59 35R10 × Cite Format Result Cite Review PDF
Toceva, Dilyana; Kyurkchiev, Nikolay; Iliev, Anton On some iterative algorithms for polynomial factorization. (English) Zbl 1265.65091 C. R. Acad. Bulg. Sci. 64, No. 10, 1403-1414 (2011). Reviewer: Angela Slavova (Sofia) MSC: 65H04 26C10 12D05 65Y05 × Cite Format Result Cite Review PDF
Boyd, John P. Chebyshev spectral methods and the Lane-Emden problem. (English) Zbl 1249.65158 Numer. Math., Theory Methods Appl. 4, No. 2, 142-157 (2011). MSC: 65L10 65L15 34B15 34L05 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Yinyu The simplex and policy-iteration methods are strongly polynomial for the Markov decision problem with a fixed discount rate. (English) Zbl 1245.90140 Math. Oper. Res. 36, No. 4, 593-603 (2011). MSC: 90C40 90C05 68Q25 90C39 × Cite Format Result Cite Review PDF Full Text: DOI
Kalantari, Bahman Polynomial root-finding methods whose basins of attraction approximate Voronoi diagram. (English) Zbl 1221.65111 Discrete Comput. Geom. 46, No. 1, 187-203 (2011). Reviewer: Hang Lau (Montréal) MSC: 65H04 30C15 65E05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yunkai A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems. (English) Zbl 1203.65077 J. Comput. Phys. 229, No. 24, 9188-9200 (2010). MSC: 65F15 15B57 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Y. Q.; Wang, F. Y.; Luo, X. W. A polynomial-time interior-point algorithm for convex quadratic semidefinite optimization. (English) Zbl 1203.90178 RAIRO, Oper. Res. 44, No. 3, 251-265 (2010). MSC: 90C51 90C20 90C22 90C25 90C60 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Gavalec, Martin; Zimmermann, Karel Solving systems of two-sided (max, min)-linear equations. (English) Zbl 1195.65037 Kybernetika 46, No. 3, 405-414 (2010). MSC: 65F10 08A72 65Y20 15A80 15B15 × Cite Format Result Cite Review PDF Full Text: EuDML Link
Bildik, Necdet; Konuralp, Ali; Yalçınbaş, Salih Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations. (English) Zbl 1189.65307 Comput. Math. Appl. 59, No. 6, 1909-1917 (2010). MSC: 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Mohy, Awad H.; Higham, Nicholas J. Computing the Fréchet derivative of the matrix exponential, with an application to condition number estimation. (English) Zbl 1180.65049 SIAM J. Matrix Anal. Appl. 30, No. 4, 1639-1657 (2009). Reviewer: Lubomír Bakule (Praha) MSC: 65F30 15A60 65J05 15A16 65F35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pal, Srimanta Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001 Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 65-01 65Fxx 65Lxx 65Mxx 65Nxx 65Yxx 65D05 65D07 65D30 65G50 65H04 65H05 65H10 92B20 97M50 00A06 65C05 65R20 × Cite Format Result Cite Review PDF
Fu, Minghui; Lin, Jinghua Precise time step integration method in nonlinear dynamics. (Chinese. English summary) Zbl 1189.70104 Acta Sci. Nat. Univ. Sunyatseni 47, No. 3, 1-5 (2008). MSC: 70K99 65D30 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
Jin, Lin Application of variational iteration method to the fifth-order KdV equation. (English) Zbl 1146.35079 Int. J. Contemp. Math. Sci. 3, No. 5-8, 213-221 (2008). MSC: 35Q53 65D99 35A15 35C05 × Cite Format Result Cite Review PDF
Petković, Ljiljana D.; Rančić, Lidija; Petković, Miodrag S. An efficient higher order family of root finders. (English) Zbl 1154.65033 J. Comput. Appl. Math. 216, No. 1, 56-72 (2008). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Hochstenbach, Michiel E.; Notay, Yvan Homogeneous Jacobi-Davidson. (English) Zbl 1171.65377 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 19-30 (2007). MSC: 65F15 65F50 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
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 × Cite Format Result Cite Review PDF
Bini, Dario A.; Higham, Nicholas; Meini, Beatrice Algorithms for the matrix \(p\)th root. (English) Zbl 1103.65046 Numer. Algorithms 39, No. 4, 349-378 (2005). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Ling On the convergent condition of Newton-like method in parallel circular iteration for simultaneously finding all multiple zeros of a polynomial. II. (English) Zbl 1109.65050 Appl. Math. Comput. 168, No. 1, 677-685 (2005). MSC: 65H05 65G40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Ling On the convergent condition of Newton-like method in parallel circular iteration for simultaneously finding all multiple zeros of a polynomial. (English) Zbl 1077.65051 Appl. Math. Comput. 152, No. 3, 837-846 (2004). MSC: 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qinglong; Wu, Jiancheng; Xu, Minghua Discussion on the applications of combined iterative methods. (Chinese. English summary) Zbl 1087.65046 J. Nanjing Univ., Math. Biq. 21, No. 1, 170-177 (2004). Reviewer: Zhen Mei (Toronto) MSC: 65H05 65Y20 12Y05 26C10 × Cite Format Result Cite Review PDF
Sun, Fangyu; Zhang, Xin A new method of increasing the order of convergence step by step. (English) Zbl 1029.65049 Appl. Math. Comput. 137, No. 1, 15-32 (2003). Reviewer: Matthew He (Ft.Lauderdale) MSC: 65H05 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. (English) Zbl 1022.65030 J. Comput. Phys. 188, No. 2, 593-610 (2003). MSC: 65F10 65Y05 65N55 35J05 35Q80 35Q72 × Cite Format Result Cite Review PDF Full Text: DOI
Deuflhard, Peter; Hohmann, Andreas Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. (English) Zbl 1025.65001 Texts in Applied Mathematics. 43. New York, NY: Springer. xviii, 337 p. (2003). Reviewer: Robert Plato (Berlin) MSC: 65-01 65Q05 65G50 65Dxx 65Hxx 62J05 65C30 65T50 65Fxx 65Y20 × Cite Format Result Cite Review PDF
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G. Two-sided and alternating Jacobi-Davidson. (English) Zbl 1087.65035 Linear Algebra Appl. 358, No. 1-3, 145-172 (2003). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Süli, Endre; Mayers, David F. An introduction to numerical analysis. (English) Zbl 1033.65001 Cambridge: Cambridge University Press (ISBN 0-521-00794-1/pbk). x, 433 p. (2003). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Fxx 65Dxx 65Hxx 65Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Batra, P. Simultaneous point estimates for Newton’s method. (English) Zbl 1020.65027 BIT 42, No. 3, 467-476 (2002). Reviewer: Alyson Reeves (Bowie) MSC: 65H05 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF
Ishihara, K. Descent iterations for improving approximate eigenpairs of polynomial eigenvalue problems with general complex matrices. (English) Zbl 1006.65032 Computing 68, No. 3, 239-254 (2002). Reviewer: Vasile Berinde (Baia Mare) MSC: 65F15 65H17 × Cite Format Result Cite Review PDF Full Text: DOI
Gilbert, William J. Generalizations of Newton’s method. (English) Zbl 1046.37027 Fractals 9, No. 3, 251-262 (2001). MSC: 37F10 65J15 × Cite Format Result Cite Review PDF Full Text: DOI
Steffen, Bernhard Subspace methods for large sparse interior eigenvalue problems. (English) Zbl 1045.65033 Int. J. Differ. Equ. Appl. 3, No. 3, 339-351 (2001). MSC: 65F15 65F50 65Y05 × Cite Format Result Cite Review PDF
Wang, Xinghua; Han, Danfu Extraneous fixed points of Euler iteration and corresponding Sullivan’s basin. (English) Zbl 1006.65045 Sci. China, Ser. A 44, No. 3, 292-298 (2001). Reviewer: Vasile Berinde (Baia Mare) MSC: 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Rizk, M. M. Dzyadyk’s technique for ordinary differential equations using Hermitian interpolating polynomials. (English) Zbl 0993.65077 Ukr. Math. J. 53, No. 4, 569-583 (2001) and Ukr. Mat. Zh. 53, No. 4, 501-512 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 65L05 65L70 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Kalantari, Bahman; Park, Seungyoung A computational comparison of the first nine members of a determinantal family of root-finding methods. (English) Zbl 1011.65025 J. Comput. Appl. Math. 130, No. 1-2, 197-204 (2001). MSC: 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Petković, Miodrag S.; Vranić, Dejan V. On the guaranteed convergence of a family of simultaneous iterative methods. (English) Zbl 1274.65146 Facta Univ., Ser. Math. Inf. 15, 85-100 (2000). MSC: 65H04 × Cite Format Result Cite Review PDF
Li, Li; Zhang, Jian; Chen, Yong On the homotopy iteration method and its application in the mechanism problems. (Chinese. English summary) Zbl 1012.65047 J. Southwest Jiaotong Univ. 35, No. 1, 57-60 (2000). MSC: 65H10 65H20 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF
Xu, Yonghong; Zeng, Xianwen; Wang, Yongqiang; Luo, Yue; Qi, Xiaobin Resolution on positive terms and Newton’s method for equations of higher order. (Chinese. English summary) Zbl 0967.65061 J. Sichuan Norm. Univ., Nat. Sci. 23, No. 6, 590-591 (2000). MSC: 65H05 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF
Iliev, A.; Semerdzhiev, K. On generalization of Obreshkoff-Ehrlich method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system. (English) Zbl 0964.65052 C. R. Acad. Bulg. Sci. 53, No. 7, 39-42 (2000). Reviewer: Petar Popivanov (Sofia) MSC: 65H05 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: arXiv
Tamme, Enn Two-grid methods for the solution of nonlinear weakly singular integral equations by piecewise polynomial collocation. (English) Zbl 0976.65119 J. Integral Equations Appl. 11, No. 2, 255-273 (1999). MSC: 65R20 45G05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sun, Fangyu; Li, Xiangfang On an accelerating quasi-Newton circular iteration. (English) Zbl 1026.65036 Appl. Math. Comput. 106, No. 1, 17-29 (1999). MSC: 65H05 65Y05 26C10 30C15 12Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Song Qing; Kamiya, Norio A formulation and solution for boundary element analysis of inhomogeneous-nonlinear problem; the case involving derivatives of unknown function. (English) Zbl 0945.65133 Eng. Anal. Bound. Elem. 23, No. 5-6, 391-397 (1999). Reviewer: Yunkang Liu (Leicestershire) MSC: 65N38 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Shiming; Kjurkchiev, Nikolay Some properties on a parallel method for factorization of a polynomial. (English) Zbl 1037.65050 Math. Balk., New Ser. 12, No. 3-4, 329-338 (1998). MSC: 65H05 65Y05 12Y05 26C10 × Cite Format Result Cite Review PDF
Batra, Prashant Improvement of a convergence condition for Durand-Kerner iteration. (English) Zbl 0935.65047 J. Comput. Appl. Math. 96, No. 2, 117-125 (1998). Reviewer: Matthew He (Ft.Lauderdale) MSC: 65H05 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Toh, Kim-Chuan; Trefethen, Lloyd N. The Chebyshev polynomials of a matrix. (English) Zbl 0922.65019 SIAM J. Matrix Anal. Appl. 20, No. 2, 400-419 (1998). Reviewer: Alexey Alimov (Moskva) MSC: 65F10 15A60 65K05 × Cite Format Result Cite Review PDF Full Text: DOI Link
He, Jihuan Newton-like iteration method for solving algebraic equations. (English) Zbl 0918.65034 Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 106-109 (1998). MSC: 65H05 65H20 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Kalantari, Bahman; Kalantari, Iraj; Zaare-Nahandi, Rahim A basic family of iteration functions for polynomial root finding and its characterizations. (English) Zbl 0874.65037 J. Comput. Appl. Math. 80, No. 2, 209-226 (1997). Reviewer: D.Braess (Bochum) MSC: 65H05 12Y05 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Petković, Ljiljana; Petković, Miodrag S. Iteration functions and disks which contain at least one zero of a polynomial. (English) Zbl 0864.65028 Herceg, D. (ed.) et al., IX conference on applied mathematics, Budva, Yugoslavia, May 30-June 1, 1994. Proceedings. Novi Sad: University of Novi Sad, 85-92 (1995). MSC: 65H05 12Y05 26C10 × Cite Format Result Cite Review PDF
Dégot, Jérôme; Hohl, Jean-Christophe; Jenvrin, Odile Computing the Mahler measure of a polynomial using Graeffe iterations. (Calcul numérique de la mesure de Mahler d’un polynôme par itérations de Graeffe.) (French) Zbl 0834.30006 C. R. Acad. Sci., Paris, Sér. I 320, No. 3, 269-272 (1995). Reviewer: D.W.Boyd (Vancouver) MSC: 30C15 30D05 × Cite Format Result Cite Review PDF
Petković, M.; Mignotte, M.; Trajković, M. The root separation of polynomials and some applications. (English) Zbl 0833.65044 Z. Angew. Math. Mech. 75, No. 7, 551-561 (1995). Reviewer: H.Ratschek (Düsseldorf) MSC: 65H05 65G30 26C10 12Y05 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Khutornoy, N. V.; Semerdzhiev, Khr.; Yamaleev, R. M. Application of the matrix linearization method for solving polynomially nonlinear boundary value problems. (English) Zbl 0851.65057 Nauchni Tr., Plovdivski Univ., Mat. 31, No. 3, 41-52 (1994). MSC: 65L10 34B15 × Cite Format Result Cite Review PDF
Li, T. Y.; Zeng, Zhonggang The Laguerre iteration in solving the symmetric tridiagonal eigenproblem, revisited. (English) Zbl 0809.65035 SIAM J. Sci. Comput. 15, No. 5, 1145-1173 (1994). Reviewer: L.Gatteschi (Torino) MSC: 65F15 65H05 26C10 12Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Bernd; Golub, Gene H. On the error computation for polynomial based iteration methods. (English) Zbl 0803.65034 Golub, Gene (ed.) et al., Recent advances in iterative methods. Papers from the IMA workshop on iterative methods for sparse and structured problems, held in Minneapolis, MN, February 24-March 1, 1992. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 60, 59-67 (1994). MSC: 65F10 × Cite Format Result Cite Review PDF
Kriete, Hartje On the efficiency of relaxed Newton’s method. (English) Zbl 0805.30019 Yang, Chung-Chun (ed.) et al., Complex analysis and its applications. Proceedings of the international conference, held in Hong Kong, January 15-17, 1993. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 305, 200-212 (1994). Reviewer: H.Kriete (Aachen) MSC: 30D05 65H05 × Cite Format Result Cite Review PDF
Nevanlinna, Olavi Convergence of iterations for linear equations. (English) Zbl 0846.47008 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. 184 p. (1993). Reviewer: J.L.R.Webb (Glasgow) MSC: 47A50 47-02 65F10 47J25 47A10 30D15 × Cite Format Result Cite Review PDF
Miyakoda, Tsuyako Multiplicity estimating algorithm for zeros of a complex polynomial and its applications. (English) Zbl 0778.65036 J. Comput. Appl. Math. 46, No. 3, 357-368 (1993). Reviewer: R.Wegmann (München) MSC: 65H05 65E05 30C15 12Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten On simultaneous factoring of a polynomial. (English) Zbl 0813.65085 Int. J. Comput. Math. 46, No. 1-2, 51-61 (1992). MSC: 65H05 30C15 12Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Gutknecht, Martin H. On certain types of \((k,l)\)-step methods for solving linear systems of equations. (English) Zbl 0786.65026 Beauwens, R. (ed.) et al., Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 373-380 (1992). MSC: 65F10 × Cite Format Result Cite Review PDF
Sorensen, Danny C. Implicit application of polynomial filters in a \(k\)-step Arnoldi method. (English) Zbl 0763.65025 SIAM J. Matrix Anal. Appl. 13, No. 1, 357-385 (1992). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Freund, Roland Krylov subspace methods for complex non-Hermitian linear systems. (English) Zbl 0744.65027 Würzburg: Univ. Würzburg, Math. Fak. 92 p. (1991). MSC: 65F10 65F35 65N22 35J05 65N06 × Cite Format Result Cite Review PDF
den Hertog, D.; Roos, C.; Terlaky, T. A potential-reduction variant of Renegar’s short-step path-following method for linear programming. (English) Zbl 0734.65050 Linear Algebra Appl. 152, 43-68 (1991). Reviewer: J.Guddat (Berlin) MSC: 65K05 90C05 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Zhihao Polynomial acceleration methods for solving singular systems of linear equations. (English) Zbl 0751.65029 J. Comput. Math. 9, No. 4, 378-387 (1991). Reviewer: J.Zítko (Praha) MSC: 65F20 65F10 × Cite Format Result Cite Review PDF
Pruett, C. David; Streett, Craig L. A spectral collocation method for compressible, non-similar boundary layers. (English) Zbl 0739.76054 Int. J. Numer. Methods Fluids 13, No. 6, 713-737 (1991). MSC: 76M25 76N20 76E99 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Schröder, Ute Verification of polynomial roots by closed coupling of computer algebra and self-validating numerical methods. (English) Zbl 0784.65044 Ullrich, Christian (ed.), Contributions to computer arithmetic and self- validating numerical methods. Papers from the first international conference held at the University of Basel, Switzerland, October 2-6, 1989. Basel: J. C. Baltzer AG, IMACS Ann. Comput. Appl. Math. 7, 259-269 (1990). MSC: 65H05 65G30 68W30 26C10 30C15 × Cite Format Result Cite Review PDF