Duff, Timothy; Leykin, Anton; Rodriguez, Jose Israel \(u\)-generation: solving systems of polynomials equation-by-equation. (English) Zbl 07792401 Numer. Algorithms 95, No. 2, 813-838 (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H20 65H10 14Q65 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., Numer. Algorithms 95, No. 2, 813--838 (2024; Zbl 07792401) Full Text: DOI arXiv
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations. (English) Zbl 1480.65125 Numer. Algorithms 89, No. 1, 223-247 (2022). MSC: 65H20 65H10 65K05 65L05 65L20 PDFBibTeX XMLCite \textit{X.-l. Luo} et al., Numer. Algorithms 89, No. 1, 223--247 (2022; Zbl 1480.65125) Full Text: DOI arXiv
Brysiewicz, Taylor; Rodriguez, Jose Israel; Sottile, Frank; Yahl, Thomas Solving decomposable sparse systems. (English) Zbl 1473.65059 Numer. Algorithms 88, No. 1, 453-474 (2021). MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{T. Brysiewicz} et al., Numer. Algorithms 88, No. 1, 453--474 (2021; Zbl 1473.65059) Full Text: DOI arXiv
Ramos, Higinio; Rufai, M. A. Numerical solution of boundary value problems by using an optimized two-step block method. (English) Zbl 1440.65075 Numer. Algorithms 84, No. 1, 229-251 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L10 65L05 65L20 PDFBibTeX XMLCite \textit{H. Ramos} and \textit{M. A. Rufai}, Numer. Algorithms 84, No. 1, 229--251 (2020; Zbl 1440.65075) Full Text: DOI
García, G. Approximating roots of nonlinear systems by \(\alpha\)-dense curves. (English) Zbl 1436.65062 Numer. Algorithms 82, No. 3, 749-760 (2019). MSC: 65H10 65H05 65H20 30C15 PDFBibTeX XMLCite \textit{G. García}, Numer. Algorithms 82, No. 3, 749--760 (2019; Zbl 1436.65062) Full Text: DOI
Fan, Xiaona; Yan, Qinglun Solving system of inequalities via a smoothing homotopy method. (English) Zbl 1420.65069 Numer. Algorithms 82, No. 2, 719-728 (2019). MSC: 65H10 65C20 65L05 PDFBibTeX XMLCite \textit{X. Fan} and \textit{Q. Yan}, Numer. Algorithms 82, No. 2, 719--728 (2019; Zbl 1420.65069) Full Text: DOI
Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Abbasbandy, Saeid Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. (English) Zbl 1412.65244 Numer. Algorithms 81, No. 1, 237-267 (2019). MSC: 65R20 65G99 PDFBibTeX XMLCite \textit{S. Noeiaghdam} et al., Numer. Algorithms 81, No. 1, 237--267 (2019; Zbl 1412.65244) Full Text: DOI
Van Gorder, Robert A. Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. (English) Zbl 1416.65251 Numer. Algorithms 81, No. 1, 181-196 (2019). MSC: 65L99 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 81, No. 1, 181--196 (2019; Zbl 1416.65251) Full Text: DOI
Cui, Jifeng; Zhang, Wenyu; Liu, Zeng; Sun, Jianglong On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator. (English) Zbl 1445.65045 Numer. Algorithms 78, No. 4, 1217-1231 (2018). Reviewer: Alois Steindl (Wien) MSC: 65P10 34C46 65L07 34C15 70K42 PDFBibTeX XMLCite \textit{J. Cui} et al., Numer. Algorithms 78, No. 4, 1217--1231 (2018; Zbl 1445.65045) Full Text: DOI
Galántai, A. Always convergent methods for nonlinear equations of several variables. (English) Zbl 1451.65063 Numer. Algorithms 78, No. 2, 625-641 (2018). MSC: 65H10 65H20 47H10 PDFBibTeX XMLCite \textit{A. Galántai}, Numer. Algorithms 78, No. 2, 625--641 (2018; Zbl 1451.65063) Full Text: DOI
Baxter, Mathew; Dewasurendra, Mangalagama; Vajravelu, Kuppalapalle A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations. (English) Zbl 1444.65044 Numer. Algorithms 77, No. 4, 1199-1211 (2018). MSC: 65L99 34A55 34B15 76R10 76S05 35Q35 PDFBibTeX XMLCite \textit{M. Baxter} et al., Numer. Algorithms 77, No. 4, 1199--1211 (2018; Zbl 1444.65044) Full Text: DOI
Duarte, Jorge; Januário, Cristina; Martins, Nuno; Ramos, C. Correia; Rodrigues, Carla; Sardanyés, Josep Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells. (English) Zbl 1384.92043 Numer. Algorithms 77, No. 1, 261-288 (2018). MSC: 92C60 92D30 34A25 PDFBibTeX XMLCite \textit{J. Duarte} et al., Numer. Algorithms 77, No. 1, 261--288 (2018; Zbl 1384.92043) Full Text: DOI DOI
Zhong, Xiaoxu; Liao, Shijun On the homotopy analysis method for backward/forward-backward stochastic differential equations. (English) Zbl 1377.65009 Numer. Algorithms 76, No. 2, 487-519 (2017). MSC: 65C30 60H10 60H35 34F05 65Y20 PDFBibTeX XMLCite \textit{X. Zhong} and \textit{S. Liao}, Numer. Algorithms 76, No. 2, 487--519 (2017; Zbl 1377.65009) Full Text: DOI arXiv
Wang, Zhen; Zou, Li; Qin, Yupeng Piecewise homotopy analysis method and convergence analysis for formally well-posed initial value problems. (English) Zbl 1377.65085 Numer. Algorithms 76, No. 2, 393-411 (2017). MSC: 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{Z. Wang} et al., Numer. Algorithms 76, No. 2, 393--411 (2017; Zbl 1377.65085) Full Text: DOI
Van Gorder, Robert A. On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. (English) Zbl 1375.65103 Numer. Algorithms 76, No. 1, 151-162 (2017). MSC: 65L10 34B15 34A25 65L20 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 76, No. 1, 151--162 (2017; Zbl 1375.65103) Full Text: DOI
Roul, Pradip; Biswal, Dipak A new numerical approach for solving a class of singular two-point boundary value problems. (English) Zbl 1385.65049 Numer. Algorithms 75, No. 3, 531-552 (2017). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 34B16 65H20 65L70 PDFBibTeX XMLCite \textit{P. Roul} and \textit{D. Biswal}, Numer. Algorithms 75, No. 3, 531--552 (2017; Zbl 1385.65049) Full Text: DOI
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K. A new analysis for the Keller-Segel model of fractional order. (English) Zbl 1365.65233 Numer. Algorithms 75, No. 1, 213-228 (2017). MSC: 65M99 35R11 92E10 35Q92 65M12 PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Algorithms 75, No. 1, 213--228 (2017; Zbl 1365.65233) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Niemerg, Matthew E.; Sottile, Frank Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials. (English) Zbl 1349.14177 Numer. Algorithms 73, No. 1, 281-304 (2016). Reviewer: Guillermo Matera (Buenos Aires) MSC: 14P05 14M25 14Q99 65H10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Algorithms 73, No. 1, 281--304 (2016; Zbl 1349.14177) Full Text: DOI arXiv
Liao, Shijun; Zhao, Yinlong On the method of directly defining inverse mapping for nonlinear differential equations. (English) Zbl 1381.65055 Numer. Algorithms 72, No. 4, 989-1020 (2016). Reviewer: Johannes Schropp (Konstanz) MSC: 65L09 65L10 34A55 34B15 PDFBibTeX XMLCite \textit{S. Liao} and \textit{Y. Zhao}, Numer. Algorithms 72, No. 4, 989--1020 (2016; Zbl 1381.65055) Full Text: DOI arXiv
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew BertiniLab: a MATLAB interface for solving systems of polynomial equations. (English) Zbl 1333.65054 Numer. Algorithms 71, No. 1, 229-244 (2016). MSC: 65H10 65H04 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Algorithms 71, No. 1, 229--244 (2016; Zbl 1333.65054) Full Text: DOI
Haussermann, John; Van Gorder, Robert A. Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. (English) Zbl 1326.65171 Numer. Algorithms 70, No. 2, 227-248 (2015). MSC: 65N99 35J60 65N12 65N15 PDFBibTeX XMLCite \textit{J. Haussermann} and \textit{R. A. Van Gorder}, Numer. Algorithms 70, No. 2, 227--248 (2015; Zbl 1326.65171) Full Text: DOI
Farooq, U.; Hayat, T.; Alsaedi, A.; Liao, S. J. Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces. (English) Zbl 1329.76256 Numer. Algorithms 70, No. 1, 43-59 (2015). MSC: 76M25 76D10 76T20 PDFBibTeX XMLCite \textit{U. Farooq} et al., Numer. Algorithms 70, No. 1, 43--59 (2015; Zbl 1329.76256) Full Text: DOI
Galántai, Aurel; Abaffy, Jozsef Always convergent iteration methods for nonlinear equations of Lipschitz functions. (English) Zbl 1319.65036 Numer. Algorithms 69, No. 2, 443-453 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{A. Galántai} and \textit{J. Abaffy}, Numer. Algorithms 69, No. 2, 443--453 (2015; Zbl 1319.65036) Full Text: DOI
Xu, Dali; Cui, Jifeng; Liao, Shijun; Alsaedi, A. A HAM-based analytic approach for physical models with an infinite number of singularities. (English) Zbl 1314.65136 Numer. Algorithms 69, No. 1, 59-74 (2015). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{D. Xu} et al., Numer. Algorithms 69, No. 1, 59--74 (2015; Zbl 1314.65136) Full Text: DOI
Yang, Li; Yu, Bo; Li, Yanxi A homotopy method for nonlinear second-order cone programming. (English) Zbl 1321.65101 Numer. Algorithms 68, No. 2, 355-365 (2015). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{L. Yang} et al., Numer. Algorithms 68, No. 2, 355--365 (2015; Zbl 1321.65101) Full Text: DOI
Yu, Yan; Yu, Bo; Dong, Bo Robust continuation methods for tracing solution curves of parameterized systems. (English) Zbl 1305.65145 Numer. Algorithms 65, No. 4, 825-841 (2014). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{Y. Yu} et al., Numer. Algorithms 65, No. 4, 825--841 (2014; Zbl 1305.65145) Full Text: DOI
Hetmaniok, Edyta; Słota, Damian; Trawiński, Tomasz; Wituła, Roman Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind. (English) Zbl 1304.65270 Numer. Algorithms 67, No. 1, 163-185 (2014). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45G10 45A05 PDFBibTeX XMLCite \textit{E. Hetmaniok} et al., Numer. Algorithms 67, No. 1, 163--185 (2014; Zbl 1304.65270) Full Text: DOI
Liang, Songxin; Ma, Junchi Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method. (English) Zbl 1298.65108 Numer. Algorithms 67, No. 1, 49-57 (2014). MSC: 65L05 34A34 44A10 34A25 PDFBibTeX XMLCite \textit{S. Liang} and \textit{J. Ma}, Numer. Algorithms 67, No. 1, 49--57 (2014; Zbl 1298.65108) Full Text: DOI
Motsa, Sandile S. On the practical use of the spectral homotopy analysis method and local linearisation method for unsteady boundary-layer flows caused by an impulsively stretching plate. (English) Zbl 1299.76192 Numer. Algorithms 66, No. 4, 865-883 (2014). MSC: 76M25 76M22 76M20 76D10 PDFBibTeX XMLCite \textit{S. S. Motsa}, Numer. Algorithms 66, No. 4, 865--883 (2014; Zbl 1299.76192) Full Text: DOI
Mallory, Kristina; Van Gorder, Robert A. Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. (English) Zbl 1299.76025 Numer. Algorithms 66, No. 4, 843-863 (2014). MSC: 76B15 76M25 35C10 35Q35 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Numer. Algorithms 66, No. 4, 843--863 (2014; Zbl 1299.76025) Full Text: DOI
Shateyi, S.; Motsa, S. S.; Khan, Y. A new piecewise spectral homotopy analysisof the Michaelis-Menten enzymatic reactions model. (English) Zbl 1296.65099 Numer. Algorithms 66, No. 3, 495-510 (2014). MSC: 65L05 34A34 65L60 92E20 PDFBibTeX XMLCite \textit{S. Shateyi} et al., Numer. Algorithms 66, No. 3, 495--510 (2014; Zbl 1296.65099) Full Text: DOI
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. (English) Zbl 1293.65137 Numer. Algorithms 66, No. 2, 269-298 (2014). MSC: 65M99 65M12 65K10 49J20 35Q35 PDFBibTeX XMLCite \textit{M. Baxter} et al., Numer. Algorithms 66, No. 2, 269--298 (2014; Zbl 1293.65137) Full Text: DOI
Saberi Nik, H.; Effati, S.; Motsa, S. S.; Shirazian, M. Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems. (English) Zbl 1284.65080 Numer. Algorithms 65, No. 1, 171-194 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{H. Saberi Nik} et al., Numer. Algorithms 65, No. 1, 171--194 (2014; Zbl 1284.65080) Full Text: DOI
Abbasbandy, S.; Jalili, M. Determination of optimal convergence-control parameter value in homotopy analysis method. (English) Zbl 1283.65073 Numer. Algorithms 64, No. 4, 593-605 (2013). MSC: 65L10 34B15 65L20 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. Jalili}, Numer. Algorithms 64, No. 4, 593--605 (2013; Zbl 1283.65073) Full Text: DOI
Mallory, Kristina; Van Gorder, Robert A. Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. (English) Zbl 1283.65090 Numer. Algorithms 64, No. 4, 633-657 (2013). MSC: 65M15 35Q82 65M70 65M12 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Numer. Algorithms 64, No. 4, 633--657 (2013; Zbl 1283.65090) Full Text: DOI
Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Cell decomposition of almost smooth real algebraic surfaces. (English) Zbl 1271.65031 Numer. Algorithms 63, No. 4, 645-678 (2013). MSC: 65D17 14Q10 65H20 PDFBibTeX XMLCite \textit{G. M. Besana} et al., Numer. Algorithms 63, No. 4, 645--678 (2013; Zbl 1271.65031) Full Text: DOI
Fan, Tao; You, Xiangcheng Optimal homotopy analysis method for nonlinear differential equations in the boundary layer. (English) Zbl 1260.65096 Numer. Algorithms 62, No. 2, 337-354 (2013). MSC: 65M99 35G30 65M12 35C10 PDFBibTeX XMLCite \textit{T. Fan} and \textit{X. You}, Numer. Algorithms 62, No. 2, 337--354 (2013; Zbl 1260.65096) Full Text: DOI
Van Gorder, Robert A. Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. (English) Zbl 1257.65063 Numer. Algorithms 61, No. 4, 613-629 (2012). MSC: 65N15 35J61 65N99 65N12 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 61, No. 4, 613--629 (2012; Zbl 1257.65063) Full Text: DOI
Vosoughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model. (English) Zbl 1256.65077 Numer. Algorithms 61, No. 3, 515-524 (2012). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{H. Vosoughi} et al., Numer. Algorithms 61, No. 3, 515--524 (2012; Zbl 1256.65077) Full Text: DOI
Motsa, Sandile Sydney; Shateyi, Stanford; Marewo, Gerald T.; Sibanda, Precious An improved spectral homotopy analysis method for MHD flow in a semi-porous channel. (English) Zbl 1427.76217 Numer. Algorithms 60, No. 3, 463-481 (2012). MSC: 76M99 76W05 76S05 76M22 PDFBibTeX XMLCite \textit{S. S. Motsa} et al., Numer. Algorithms 60, No. 3, 463--481 (2012; Zbl 1427.76217) Full Text: DOI
Rüffer, Björn S.; Wirth, Fabian R. Stability verification for monotone systems using homotopy algorithms. (English) Zbl 1229.93115 Numer. Algorithms 58, No. 4, 529-543 (2011). MSC: 93C55 47H07 65H20 93B28 PDFBibTeX XMLCite \textit{B. S. Rüffer} and \textit{F. R. Wirth}, Numer. Algorithms 58, No. 4, 529--543 (2011; Zbl 1229.93115) Full Text: DOI arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. Efficient path tracking methods. (English) Zbl 1230.65059 Numer. Algorithms 58, No. 4, 451-459 (2011). MSC: 65H20 14Q15 65L06 65H04 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Algorithms 58, No. 4, 451--459 (2011; Zbl 1230.65059) Full Text: DOI
Rostamy, Davood; Karimi, K. Hypercomplex mathematics and HPM for the time-delayed Burgers equation with convergence analysis. (English) Zbl 1227.65098 Numer. Algorithms 58, No. 1, 85-101 (2011). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{D. Rostamy} and \textit{K. Karimi}, Numer. Algorithms 58, No. 1, 85--101 (2011; Zbl 1227.65098) Full Text: DOI
You, Xiangcheng; Xu, Hang Analytical approximations for the periodic motion of the Duffing system with delayed feedback. (English) Zbl 1211.65094 Numer. Algorithms 56, No. 4, 561-576 (2011). MSC: 65L05 34K28 34K13 34K18 PDFBibTeX XMLCite \textit{X. You} and \textit{H. Xu}, Numer. Algorithms 56, No. 4, 561--576 (2011; Zbl 1211.65094) Full Text: DOI
Liang, Songxin; Jeffrey, David J. An analytical approach for solving nonlinear boundary value problems in finite domains. (English) Zbl 1206.65186 Numer. Algorithms 56, No. 1, 93-106 (2011). MSC: 65L10 34B15 68W30 PDFBibTeX XMLCite \textit{S. Liang} and \textit{D. J. Jeffrey}, Numer. Algorithms 56, No. 1, 93--106 (2011; Zbl 1206.65186) Full Text: DOI
Abbasbandy, Saeid; Shivanian, E. A new analytical technique to solve Fredholm’s integral equations. (English) Zbl 1208.45006 Numer. Algorithms 56, No. 1, 27-43 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 45L05 45B05 45G10 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Numer. Algorithms 56, No. 1, 27--43 (2011; Zbl 1208.45006) Full Text: DOI
Awawdeh, Fadi On new iterative method for solving systems of nonlinear equations. (English) Zbl 1197.65048 Numer. Algorithms 54, No. 3, 395-409 (2010). Reviewer: Jiří Vaníček (Praha) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{F. Awawdeh}, Numer. Algorithms 54, No. 3, 395--409 (2010; Zbl 1197.65048) Full Text: DOI
Abbasbandy, Saeid; Shirzadi, A. Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. (English) Zbl 1197.65096 Numer. Algorithms 54, No. 4, 521-532 (2010). MSC: 65L15 34A08 34L16 65L20 34B24 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{A. Shirzadi}, Numer. Algorithms 54, No. 4, 521--532 (2010; Zbl 1197.65096) Full Text: DOI
Wu, Yongyan; Cheung, Kwok Fai Two-parameter homotopy method for nonlinear equations. (English) Zbl 1193.65076 Numer. Algorithms 53, No. 4, 555-572 (2010). Reviewer: Liu Xinguo (Qingdao) MSC: 65H05 65B99 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{K. F. Cheung}, Numer. Algorithms 53, No. 4, 555--572 (2010; Zbl 1193.65076) Full Text: DOI
Kolev, Lubomir V. An improved interval linearization for solving nonlinear problems. (English) Zbl 1074.65058 Numer. Algorithms 37, No. 1-4, 213-224 (2004). MSC: 65H10 65H20 65K05 65G30 90C30 PDFBibTeX XMLCite \textit{L. V. Kolev}, Numer. Algorithms 37, No. 1--4, 213--224 (2004; Zbl 1074.65058) Full Text: DOI
Mezher, Dany; Philippe, Bernard PAT – a reliable path-following algorithm. (English) Zbl 0995.65038 Numer. Algorithms 29, No. 1-3, 131-152 (2002). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F15 65F20 65G50 65H20 PDFBibTeX XMLCite \textit{D. Mezher} and \textit{B. Philippe}, Numer. Algorithms 29, No. 1--3, 131--152 (2002; Zbl 0995.65038) Full Text: DOI
Chien, C.-S.; Chou, H.-S.; Jeng, B.-W. A continuation-domain decomposition algorithm for bifurcation problems. (English) Zbl 0961.65093 Numer. Algorithms 22, No. 3-4, 367-383 (1999). Reviewer: Eugene L.Allgower (Fort Collins) MSC: 65N06 65N55 65H17 65H20 35J65 35B32 PDFBibTeX XMLCite \textit{C. S. Chien} et al., Numer. Algorithms 22, No. 3--4, 367--383 (1999; Zbl 0961.65093) Full Text: DOI
Calvetti, D.; Reichel, L. A block-Lanczos method for large continuation problems. (English) Zbl 0942.65054 Numer. Algorithms 21, No. 1-4, 109-118 (1999). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65H17 65H20 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, Numer. Algorithms 21, No. 1--4, 109--118 (1999; Zbl 0942.65054) Full Text: DOI
Huber, Birkett; Verschelde, Jan Polyhedral end games for polynomial continuation. (English) Zbl 0933.65057 Numer. Algorithms 18, No. 1, 91-108 (1998). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H20 65H10 52A39 PDFBibTeX XMLCite \textit{B. Huber} and \textit{J. Verschelde}, Numer. Algorithms 18, No. 1, 91--108 (1998; Zbl 0933.65057) Full Text: DOI
Yakoubsohn, Jean-Claude A universal constant for the convergence of Newton’s method and an application to the classical homotopy method. (English) Zbl 0835.65075 Numer. Algorithms 9, No. 3-4, 223-244 (1995). Reviewer: H.Matthies (Hamburg) MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{J.-C. Yakoubsohn}, Numer. Algorithms 9, No. 3--4, 223--244 (1995; Zbl 0835.65075) Full Text: DOI
Li, Kuiyuan; Li, Tien-Yien A homotopy algorithm for a symmetric generalized eigenproblem. (English) Zbl 0779.65024 Numer. Algorithms 4, No. 1-2, 167-195 (1993). Reviewer: E.L.Allgower (Fort Collins) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{K. Li} and \textit{T.-Y. Li}, Numer. Algorithms 4, No. 1--2, 167--195 (1993; Zbl 0779.65024) Full Text: DOI