Argyros, Ioannis K.; Shakhno, Stepan; Yarmola, Halyna Extending the applicability of iterative methods free of derivatives by means of memory. (English) Zbl 07307817 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 289-300 (2020). MSC: 65J15 65H10 49M15 47J25 65G99 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 289--300 (2020; Zbl 07307817) Full Text: Link
Argyros, Ioannis K.; George, Santhosh; Sahu, Daya Ram Extensions of Kantorovich-type theorems for Newton’s method. (English) Zbl 07242382 Appl. Math. 47, No. 1, 145-153 (2020). MSC: 65G99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Appl. Math. 47, No. 1, 145--153 (2020; Zbl 07242382) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence for a sixth-order multi-point method in Banach spaces under weak conditions. (English) Zbl 07242381 Appl. Math. 47, No. 1, 133-144 (2020). MSC: 65D10 65D99 65G99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 47, No. 1, 133--144 (2020; Zbl 07242381) Full Text: DOI
Ben Gharbia, Ibtihel; Dabaghi, Jad; Martin, Vincent; Vohralík, Martin A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints. (English) Zbl 1439.76150 Comput. Geosci. 24, No. 3, 1031-1055 (2020). MSC: 76S05 76M10 65G99 PDF BibTeX XML Cite \textit{I. Ben Gharbia} et al., Comput. Geosci. 24, No. 3, 1031--1055 (2020; Zbl 1439.76150) Full Text: DOI
Argyros, I. K.; Ceballos, J.; González, D.; Gutiérrez, J. M. Extending the applicability of Newton’s method for a class of boundary value problems using the shooting method. (English) Zbl 07212659 Appl. Math. Comput. 384, Article ID 125378, 10 p. (2020). MSC: 65J15 65G99 65L10 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Appl. Math. Comput. 384, Article ID 125378, 10 p. (2020; Zbl 07212659) Full Text: DOI
Stanimirović, Predrag S.; Roy, Falguni; Gupta, Dharmendra K.; Srivastava, Shwetabh Computing the Moore-Penrose inverse using its error bounds. (English) Zbl 1435.65061 Appl. Math. Comput. 371, Article ID 124957, 13 p. (2020). MSC: 65F20 15A09 65F10 PDF BibTeX XML Cite \textit{P. S. Stanimirović} et al., Appl. Math. Comput. 371, Article ID 124957, 13 p. (2020; Zbl 1435.65061) Full Text: DOI
Gierzkiewicz, Anna; Zgliczyński, Piotr A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. (English) Zbl 1451.70032 Celest. Mech. Dyn. Astron. 131, No. 7, Paper No. 33, 17 p. (2019). MSC: 70F15 37B10 37D45 37N05 PDF BibTeX XML Cite \textit{A. Gierzkiewicz} and \textit{P. Zgliczyński}, Celest. Mech. Dyn. Astron. 131, No. 7, Paper No. 33, 17 p. (2019; Zbl 1451.70032) Full Text: DOI
Nisha, Shwet; Parida, P. K.; Kumari, Chandni Convergence of a continuation method under majorant conditions. (English) Zbl 07181606 Korean J. Math. 27, No. 4, 1005-1025 (2019). MSC: 65D10 65G99 65K10 49M15 PDF BibTeX XML Cite \textit{S. Nisha} et al., Korean J. Math. 27, No. 4, 1005--1025 (2019; Zbl 07181606) Full Text: DOI
Ivanov, Ivan G.; Mateva, Tonya Interval methods with fifth order of convergence for solving nonlinear scalar equations. (English) Zbl 1432.65058 Axioms 8, No. 1, Paper No. 15, 11 p. (2019). MSC: 65H04 65H05 PDF BibTeX XML Cite \textit{I. G. Ivanov} and \textit{T. Mateva}, Axioms 8, No. 1, Paper No. 15, 11 p. (2019; Zbl 1432.65058) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence analysis of two competing two-step iterative methods free of derivatives for solving equations and systems of equations. (English) Zbl 07134755 Math. Commun. 24, No. 2, 265-278 (2019). MSC: 47H09 47H10 65G99 65H10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Math. Commun. 24, No. 2, 265--278 (2019; Zbl 07134755) Full Text: Link
Argyros, Ioannis K.; George, Santhosh Kantorovich-like convergence theorems for Newton’s method using restricted convergence domains. (English) Zbl 07051499 Numer. Funct. Anal. Optim. 40, No. 3, 303-318 (2019). MSC: 49M15 49J53 65G99 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Numer. Funct. Anal. Optim. 40, No. 3, 303--318 (2019; Zbl 07051499) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Semi-local convergence of a Newton-like method for solving equations with a singular derivative. (English) Zbl 07238250 Creat. Math. Inform. 27, No. 1, 1-8 (2018). MSC: 65D10 65D99 65E99 65H10 65G99 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Creat. Math. Inform. 27, No. 1, 1--8 (2018; Zbl 07238250)
Mateva, Tonya P. Newton type interval methods for solving nonlinear scalar equations. (English) Zbl 1438.65106 Ann. Acad. Rom. Sci., Math. Appl. 10, No. 2, 280-296 (2018). MSC: 65H05 PDF BibTeX XML Cite \textit{T. P. Mateva}, Ann. Acad. Rom. Sci., Math. Appl. 10, No. 2, 280--296 (2018; Zbl 1438.65106) Full Text: Link
Shakhno, S. M.; Yarmola, H. P.; Shunkin, Yu. V. Convergence analysis of the Gauss-Newton-Potra method for nonlinear least squares problems. (English) Zbl 1411.49015 Mat. Stud. 50, No. 2, 211-221 (2018). MSC: 49M15 65F20 65G99 65H10 PDF BibTeX XML Cite \textit{S. M. Shakhno} et al., Mat. Stud. 50, No. 2, 211--221 (2018; Zbl 1411.49015) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Unified semi-local convergence for \(k\)-step iterative methods with flexible and frozen linear operator. (English) Zbl 06994836 Mathematics 6, No. 11, Paper No. 233, 10 p. (2018). MSC: 65G99 65H10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Mathematics 6, No. 11, Paper No. 233, 10 p. (2018; Zbl 06994836) Full Text: DOI
Wang, Xiaohui; Cao, Xianbing Parameter estimation of Cox proportional hazards models with interval-censored data. (Chinese. English summary) Zbl 1413.62024 Math. Pract. Theory 48, No. 8, 153-158 (2018). MSC: 62F10 62N02 62N01 PDF BibTeX XML Cite \textit{X. Wang} and \textit{X. Cao}, Math. Pract. Theory 48, No. 8, 153--158 (2018; Zbl 1413.62024)
Ghosh, Debdas A quasi-Newton method with rank-two update to solve interval optimization problems. (English) Zbl 1397.90357 Int. J. Appl. Comput. Math. 3, No. 3, 1719-1738 (2017). MSC: 90C30 65K05 90C70 90C53 65G40 PDF BibTeX XML Cite \textit{D. Ghosh}, Int. J. Appl. Comput. Math. 3, No. 3, 1719--1738 (2017; Zbl 1397.90357) Full Text: DOI
Wu, Shi-Liang; Li, Cui-Xia A generalized Newton method for non-Hermitian positive definite linear complementarity problem. (English) Zbl 1368.90159 Calcolo 54, No. 1, 43-56 (2017). MSC: 90C33 65F10 65F50 65G40 PDF BibTeX XML Cite \textit{S.-L. Wu} and \textit{C.-X. Li}, Calcolo 54, No. 1, 43--56 (2017; Zbl 1368.90159) Full Text: DOI
Schichl, Hermann; Domes, Ferenc; Montanher, Tiago; Kofler, Kevin Interval unions. (English) Zbl 1367.65014 BIT 57, No. 2, 531-556 (2017). MSC: 65C30 65H05 65F05 PDF BibTeX XML Cite \textit{H. Schichl} et al., BIT 57, No. 2, 531--556 (2017; Zbl 1367.65014) Full Text: DOI
Argyros, Ioannis K.; Ren, Hongmin Improved convergence of Steffensen’s method for approximating fixed points of operators in Banach space. (English) Zbl 1394.47067 J. Korean Math. Soc. 54, No. 1, 17-33 (2017). Reviewer: Vasile Berinde (Baia Mare) MSC: 47J25 47H10 49M15 65G99 65J15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{H. Ren}, J. Korean Math. Soc. 54, No. 1, 17--33 (2017; Zbl 1394.47067) Full Text: DOI Link
Ghosh, Debdas Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions. (English) Zbl 1392.90106 J. Appl. Math. Comput. 53, No. 1-2, 709-731 (2017). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{D. Ghosh}, J. Appl. Math. Comput. 53, No. 1--2, 709--731 (2017; Zbl 1392.90106) Full Text: DOI
Ghosh, Debdas A Newton method for capturing efficient solutions of interval optimization problems. (English) Zbl 1360.65152 Opsearch 53, No. 3, 648-665 (2016). MSC: 65H10 65G40 PDF BibTeX XML Cite \textit{D. Ghosh}, Opsearch 53, No. 3, 648--665 (2016; Zbl 1360.65152) Full Text: DOI
He, Chaobing Parameter estimations of discrete Weibull distribution with left truncated and right censored data. (Chinese. English summary) Zbl 1363.62127 J. Zhengzhou Univ., Nat. Sci. Ed. 48, No. 2, 18-23 (2016). MSC: 62N02 62F10 62F25 PDF BibTeX XML Cite \textit{C. He}, J. Zhengzhou Univ., Nat. Sci. Ed. 48, No. 2, 18--23 (2016; Zbl 1363.62127) Full Text: DOI
Zheng, Lin The convergence theorem for fourth-order super-Halley method in weaker conditions. (English) Zbl 1349.65188 J. Inequal. Appl. 2016, Paper No. 289, 12 p. (2016). MSC: 65J15 65H10 65G99 47J25 49M15 PDF BibTeX XML Cite \textit{L. Zheng}, J. Inequal. Appl. 2016, Paper No. 289, 12 p. (2016; Zbl 1349.65188) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extending the applicability of the Gauss-Newton method for convex composite optimization using restricted convergence domains and average Lipschitz conditions. (English) Zbl 1348.90568 S\(\vec{\text{e}}\)MA J. 73, No. 3, 219-236 (2016). MSC: 90C30 65G99 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 73, No. 3, 219--236 (2016; Zbl 1348.90568) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. On the convergence of iterative methods with applications in generalized fractional calculus. (English) Zbl 1347.26016 Nonlinear Funct. Anal. Appl. 21, No. 1, 105-120 (2016). MSC: 26A33 65G99 47J25 PDF BibTeX XML Cite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Nonlinear Funct. Anal. Appl. 21, No. 1, 105--120 (2016; Zbl 1347.26016)
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Local convergence of an efficient high convergence order method using hypothesis only on the first derivative. (English) Zbl 07042301 Algorithms (Basel) 8, No. 4, 1076-1087 (2015). MSC: 65G99 65H10 47J25 47J05 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Algorithms (Basel) 8, No. 4, 1076--1087 (2015; Zbl 07042301) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Local convergence of an optimal eighth order method under weak conditions. (English) Zbl 07042275 Algorithms (Basel) 8, No. 3, 645-655 (2015). MSC: 65D10 65D99 65G99 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Algorithms (Basel) 8, No. 3, 645--655 (2015; Zbl 07042275) Full Text: DOI
Argyros, Ioannis K.; Ren, Hongmin A simplified proof of the Kantorovich theorem for solving equations using telescopic series. (English) Zbl 1399.65120 J. Numer. Anal. Approx. Theory 44, No. 2, 146-153 (2015). MSC: 65J15 65G99 47H99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{H. Ren}, J. Numer. Anal. Approx. Theory 44, No. 2, 146--153 (2015; Zbl 1399.65120)
Anastassiou, George A.; Argyros, Ioannis K. Semilocal convegence of Newton-like methods under general conditions, with applications in fractional calculus. (English) Zbl 1399.65116 J. Numer. Anal. Approx. Theory 44, No. 2, 113-126 (2015). MSC: 65G99 65H10 26A33 47J25 47J05 PDF BibTeX XML Cite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, J. Numer. Anal. Approx. Theory 44, No. 2, 113--126 (2015; Zbl 1399.65116)
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd On iterative computation of fixed points and optimization. (English) Zbl 06583950 Fixed Point Theory Appl. 2015, Paper No. 128, 19 p. (2015). MSC: 47H10 47J05 47J25 65G99 49M15 41A29 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Fixed Point Theory Appl. 2015, Paper No. 128, 19 p. (2015; Zbl 06583950) Full Text: DOI
Argyros, I. K.; González, D. Local convergence analysis of inexact Gauss-Newton method for singular systems of equations under majorant and center-majorant condition. (English) Zbl 1327.65027 S\(\vec{\text{e}}\)MA J. 69, No. 1, 37-51 (2015). MSC: 65D10 65D99 65G99 65K10 90C30 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{D. González}, S\(\vec{\text{e}}\)MA J. 69, No. 1, 37--51 (2015; Zbl 1327.65027) Full Text: DOI
Kircheis, Robert Structure exploiting parameter estimation and optimum experimental design methods and applications in microbial enhanced oil recovery. (English) Zbl 1318.65067 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). vi, 122 p. (2015). MSC: 65M75 76S05 76M35 76T10 35Q35 86A20 35Q86 PDF BibTeX XML Cite \textit{R. Kircheis}, Structure exploiting parameter estimation and optimum experimental design methods and applications in microbial enhanced oil recovery. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1318.65067) Full Text: Link
Argyros, I. K.; Khattri, Sanjay Kumar Some development for Newton’s method under mild differentiability conditions. (English) Zbl 1413.65220 J. Nonlinear Anal. Optim. 5, No. 2, 81-90 (2014). MSC: 65J15 49M15 65H10 65G99 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. K. Khattri}, J. Nonlinear Anal. Optim. 5, No. 2, 81--90 (2014; Zbl 1413.65220) Full Text: Link
Argyros, Ioannis K.; Santhosh, George On extended convergence domains for the Newton-Kantorovich method. (English) Zbl 1399.65121 Mathematica 56(79), No. 1, 3-13 (2014). MSC: 65J15 65G99 47H99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{G. Santhosh}, Mathematica 56(79), No. 1, 3--13 (2014; Zbl 1399.65121)
Mantzaflaris, Angelos; Mourrain, Bernard Singular zeros of polynomial systems. (English) Zbl 1331.65074 Dokken, Tor (ed.) et al., SAGA – Advances in ShApes, geometry, and algebra. Results from the Marie Curie initial training network, March 2008 – October 2012. Cham: Springer (ISBN 978-3-319-08634-7/hbk; 978-3-319-08635-4/ebook). Geometry and Computing 10, 77-103 (2014). MSC: 65H10 65H04 65G30 PDF BibTeX XML Cite \textit{A. Mantzaflaris} and \textit{B. Mourrain}, Geom. Comput. 10, 77--103 (2014; Zbl 1331.65074) Full Text: DOI
Zidna, Ahmed; Michel, Dominique A new approach based on interval analysis and B-splines properties for solving bivariate nonlinear equations systems. (English) Zbl 1325.65072 Do, Tien Van (ed.) et al., Advanced computational methods for knowledge engineering. Proceedings of the 2nd international conference on computer science, applied mathematics and applications, ICCSAMA 2014, Budapest, Hungary, May 8–9, 2014. Cham: Springer (ISBN 978-3-319-06568-7/pbk; 978-3-319-06569-4/ebook). Advances in Intelligent Systems and Computing 282, 341-351 (2014). MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{A. Zidna} and \textit{D. Michel}, Adv. Intell. Syst. Comput. 282, 341--351 (2014; Zbl 1325.65072) Full Text: DOI
Argyros, Ioannis K.; Ren, Hongmin New \(w\)-convergence conditions for the Newton-Kantorovich method. (English) Zbl 1316.65057 J. Math., Punjab Univ. 46, No. 1, 77-86 (2014). MSC: 65J15 65H10 65G99 54H25 47J10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{H. Ren}, J. Math., Punjab Univ. 46, No. 1, 77--86 (2014; Zbl 1316.65057) Full Text: Link
Rahman, Nurhakimah Ab.; Abdullah, Lazim A review on solutions for fuzzy polynomials. (English) Zbl 1322.65057 Far East J. Math. Sci. (FJMS) 93, No. 1, 65-87 (2014). MSC: 65H04 65G40 PDF BibTeX XML Cite \textit{N. Ab. Rahman} and \textit{L. Abdullah}, Far East J. Math. Sci. (FJMS) 93, No. 1, 65--87 (2014; Zbl 1322.65057) Full Text: Link
Magreñán, Á. Alberto; Argyros, Ioannis K. Expanding the applicability of the Gauss-Newton method for convex optimization under a majorant condition. (English) Zbl 1304.90197 S\(\vec{\text{e}}\)MA J. 65, No. 1, 37-56 (2014). MSC: 90C30 65G99 65K10 PDF BibTeX XML Cite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 65, No. 1, 37--56 (2014; Zbl 1304.90197) Full Text: DOI
Argyros, I. K.; George, Santhosh Expanding the applicability of the Gauss-Newton method for convex optimization under a regularity condition. (English) Zbl 1309.90096 Commun. Appl. Nonlinear Anal. 21, No. 2, 29-44 (2014). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 65G99 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. George}, Commun. Appl. Nonlinear Anal. 21, No. 2, 29--44 (2014; Zbl 1309.90096)
Argyros, I. K.; Khattri, S. K. Weaker Kantorovich type criteria for inexact Newton methods. (English) Zbl 1278.65064 J. Comput. Appl. Math. 261, 103-117 (2014). MSC: 65H10 65J20 65G99 65B05 65N30 76M10 76W05 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. K. Khattri}, J. Comput. Appl. Math. 261, 103--117 (2014; Zbl 1278.65064) Full Text: DOI
Wang, Yong; Taylor, Stephen M. Efficient computation of nonparametric survival functions via a hierarchical mixture formulation. (English) Zbl 1322.62237 Stat. Comput. 23, No. 6, 713-725 (2013). MSC: 62N01 62N02 62G05 62N05 62P10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. M. Taylor}, Stat. Comput. 23, No. 6, 713--725 (2013; Zbl 1322.62237) Full Text: DOI
Chen, Chin-Yun A performance comparison of the zero-finding by extended interval Newton method for Peano monosplines. (English) Zbl 1286.65038 Appl. Math. Comput. 219, No. 12, 6919-6930 (2013). MSC: 65D32 41A55 65D07 PDF BibTeX XML Cite \textit{C.-Y. Chen}, Appl. Math. Comput. 219, No. 12, 6919--6930 (2013; Zbl 1286.65038) Full Text: DOI
Zheng, Lin; Gu, Chuanqing Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces. (English) Zbl 1278.65082 Int. J. Comput. Math. 90, No. 2, 423-434 (2013). MSC: 65J15 65H10 65G99 47J25 49M15 PDF BibTeX XML Cite \textit{L. Zheng} and \textit{C. Gu}, Int. J. Comput. Math. 90, No. 2, 423--434 (2013; Zbl 1278.65082) Full Text: DOI
Liu, Changhe; Liu, Hongwei; Zhu, Jianguang A new semi-smooth Newton method for absolute value equations. (English) Zbl 1289.65143 Chin. J. Eng. Math. 30, No. 1, 101-111 (2013). MSC: 65K05 15A06 65F10 90C33 65G30 90C53 PDF BibTeX XML Cite \textit{C. Liu} et al., Chin. J. Eng. Math. 30, No. 1, 101--111 (2013; Zbl 1289.65143) Full Text: DOI
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDF BibTeX XML Cite \textit{R. M. Corless} and \textit{N. Fillion}, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. New York, NY: Springer (2013; Zbl 1295.65001) Full Text: DOI
Soleymani, F.; Shateyi, S.; Salmani, H. Computing simple roots by an optimal sixteenth-order class. (English) Zbl 1268.65070 J. Appl. Math. 2012, Article ID 958020, 13 p. (2012). MSC: 65H05 65G30 PDF BibTeX XML Cite \textit{F. Soleymani} et al., J. Appl. Math. 2012, Article ID 958020, 13 p. (2012; Zbl 1268.65070) Full Text: DOI
Argyros, Ioannis K.; Hitlout, Saïd On the Gauss-Newton method for solving equations. (English) Zbl 1404.65043 Proyecciones 31, No. 1, 11-24 (2012). MSC: 65H10 65K05 65G99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hitlout}, Proyecciones 31, No. 1, 11--24 (2012; Zbl 1404.65043) Full Text: DOI
Krämer, Walter Multiple/arbitrary precision interval computations in C-XSC. (English) Zbl 1238.65042 Computing 94, No. 2-4, 229-241 (2012). MSC: 65G40 65Y04 65H05 65G20 65D25 PDF BibTeX XML Cite \textit{W. Krämer}, Computing 94, No. 2--4, 229--241 (2012; Zbl 1238.65042) Full Text: DOI
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd On the semilocal convergence of the Halley method using recurrent functions. (English) Zbl 1291.65156 J. Appl. Math. Comput. 37, No. 1-2, 221-246 (2011); erratum ibid. 38, No. 1-2, 709 (2012). MSC: 65H10 65G99 65J15 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., J. Appl. Math. Comput. 37, No. 1--2, 221--246 (2011; Zbl 1291.65156) Full Text: DOI
Wang, Aixiang; Wang, Haijun; Deng, Yongkun Interval algorithm for absolute value equations. (English) Zbl 1236.65047 Cent. Eur. J. Math. 9, No. 5, 1171-1184 (2011). Reviewer: M. Milla Miranda (Rio de Janeiro) MSC: 65G30 15A06 PDF BibTeX XML Cite \textit{A. Wang} et al., Cent. Eur. J. Math. 9, No. 5, 1171--1184 (2011; Zbl 1236.65047) Full Text: DOI
Chen, Chin-Yun Extended interval Newton method based on the precise quotient set. (English) Zbl 1298.65087 Computing 92, No. 4, 297-315 (2011). Reviewer: Liu Xinguo (Qingdao) MSC: 65H05 65G30 65G40 PDF BibTeX XML Cite \textit{C.-Y. Chen}, Computing 92, No. 4, 297--315 (2011; Zbl 1298.65087) Full Text: DOI
Abbasbandy, S.; Shivanian, E. Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method. (English) Zbl 1221.76189 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2745-2752 (2011). MSC: 76S05 76M22 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2745--2752 (2011; Zbl 1221.76189) Full Text: DOI
Tucker, Warwick Validated numerics. A short introduction to rigorous computations. (English) Zbl 1231.65077 Princeton, NJ: Princeton University Press (ISBN 978-0-691-14781-9/hbk; 978-1-400-83897-4/ebook). xii, 138 p. (2011). Reviewer: Günter Mayer (Rostock) MSC: 65G20 65G30 65G40 65-02 26E25 PDF BibTeX XML Cite \textit{W. Tucker}, Validated numerics. A short introduction to rigorous computations. Princeton, NJ: Princeton University Press (2011; Zbl 1231.65077)
Argyros, Ioannis K. On the feasiblity of continuation methods for solving equations. (English) Zbl 1300.65030 Adv. Nonlinear Var. Inequal. 13, No. 1, 57-63 (2010). MSC: 65H10 65G99 65J15 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 13, No. 1, 57--63 (2010; Zbl 1300.65030)
Petković, Miodrag S.; Milošević, Dušan M.; Petković, Ivan On the improved Newton-like methods for the inclusion of polynomial zeros. (English) Zbl 1221.65113 Int. J. Comput. Math. 87, No. 8, 1726-1735 (2010). Reviewer: Günter Mayer (Rostock) MSC: 65H04 65G30 65G20 30C15 65E05 PDF BibTeX XML Cite \textit{M. S. Petković} et al., Int. J. Comput. Math. 87, No. 8, 1726--1735 (2010; Zbl 1221.65113) Full Text: DOI
Argyros, Ioannis K. On the convergence of Stirling’s method in Banach spaces under gamma-type condition. (English) Zbl 1300.65034 Adv. Nonlinear Var. Inequal. 12, No. 2, 17-23 (2009). MSC: 65J15 65G99 65K10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 12, No. 2, 17--23 (2009; Zbl 1300.65034)
Argyros, Ioannis K.; Hilout, Saïd Secant-like method for solving generalized equations. (English) Zbl 1206.65167 Methods Appl. Anal. 16, No. 4, 469-478 (2009). MSC: 65K10 65G99 65H10 65B05 47H04 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hilout}, Methods Appl. Anal. 16, No. 4, 469--478 (2009; Zbl 1206.65167) Full Text: DOI Euclid
Petković, Miodrag S. The self-validated method for polynomial zeros of high efficiency. (English) Zbl 1204.65047 J. Comput. Appl. Math. 233, No. 4, 1175-1186 (2009). Reviewer: Erwin Schechter (Moers) MSC: 65H04 65G20 PDF BibTeX XML Cite \textit{M. S. Petković}, J. Comput. Appl. Math. 233, No. 4, 1175--1186 (2009; Zbl 1204.65047) Full Text: DOI
Argyros, Ioannis K.; Hilout, Saïd Newton’s method for approximating zeros of vector fields on Riemannian manifolds. (English) Zbl 1176.65061 J. Appl. Math. Comput. 29, No. 1-2, 417-427 (2009). MSC: 65H10 65G99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hilout}, J. Appl. Math. Comput. 29, No. 1--2, 417--427 (2009; Zbl 1176.65061) Full Text: DOI
Argyros, Ioannis K. On the comparison of a Kantorovich-type and Moore theorems. (English) Zbl 1187.65053 J. Appl. Math. Comput. 29, No. 1-2, 117-123 (2009). Reviewer: Jiří Rohn (Praha) MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{I. K. Argyros}, J. Appl. Math. Comput. 29, No. 1--2, 117--123 (2009; Zbl 1187.65053) Full Text: DOI
Nikas, I. A.; Grapsa, T. N. Bounding the zeros of an interval equation. (English) Zbl 1169.65041 Appl. Math. Comput. 213, No. 2, 466-478 (2009). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 65H05 65G30 65G20 PDF BibTeX XML Cite \textit{I. A. Nikas} and \textit{T. N. Grapsa}, Appl. Math. Comput. 213, No. 2, 466--478 (2009; Zbl 1169.65041) Full Text: DOI
Argyros, Ioannis K. On a class of Newton-like methods for solving nonlinear equations. (English) Zbl 1168.65349 J. Comput. Appl. Math. 228, No. 1, 115-122 (2009). MSC: 65J15 65K10 65G99 65J99 49M15 49J53 47J20 47H04 PDF BibTeX XML Cite \textit{I. K. Argyros}, J. Comput. Appl. Math. 228, No. 1, 115--122 (2009; Zbl 1168.65349) Full Text: DOI
Moore, Ramon E.; Kearfott, R. Baker; Cloud, Michael J. Introduction to interval analysis. (English) Zbl 1168.65002 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-69-6/pbk; 978-0-89871-771-6/ebook). xi, 223 p. (2009). Reviewer: Günter Mayer (Rostock) MSC: 65-01 65G30 65G50 65Fxx 65Hxx 65R20 65Lxx 65G20 68W30 PDF BibTeX XML Cite \textit{R. E. Moore} et al., Introduction to interval analysis. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2009; Zbl 1168.65002) Full Text: DOI
Argyros, Ioannis K. On the semilocal convergence of a fast two-step Newton method. (English) Zbl 1189.65097 Rev. Colomb. Mat. 42, No. 1, 15-24 (2008). MSC: 65H10 65G99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rev. Colomb. Mat. 42, No. 1, 15--24 (2008; Zbl 1189.65097) Full Text: EMIS EuDML
Argyros, Ioannis K.; Hilout, Saïd On the local convergence of a Newton-type method in Banach spaces under a gamma-type condition. (English) Zbl 1182.65075 Proyecciones 27, No. 1, 1-14 (2008). MSC: 65G99 65K10 47J25 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hilout}, Proyecciones 27, No. 1, 1--14 (2008; Zbl 1182.65075) Full Text: DOI
Argyros, Ioannis K. Concerning the semilocal convergence of Newton’s method and convex majorants. (English) Zbl 1176.65058 Rend. Circ. Mat. Palermo (2) 57, No. 3, 331-341 (2008). MSC: 65G99 65K10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rend. Circ. Mat. Palermo (2) 57, No. 3, 331--341 (2008; Zbl 1176.65058) Full Text: DOI
Argyros, Ioannis K. On the convergence of Newton’s method and locally Hölderian operators. (English) Zbl 1178.65057 J. Korea Soc. Math. Educ., Ser. B, Pure Appl. Math. 15, No. 2, 111-120 (2008). MSC: 65J15 47J25 65G99 65H10 47H10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 15, No. 2, 111--120 (2008; Zbl 1178.65057)
Argyros, Ioannis K.; Hilout, Saïd A comparative study between convergence results for Newton’s method. (English) Zbl 1182.65074 J. Korea Soc. Math. Educ., Ser. B, Pure Appl. Math. 15, No. 4, 365-375 (2008). MSC: 65G99 65K10 47J25 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hilout}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 15, No. 4, 365--375 (2008; Zbl 1182.65074)
Argyros, Ioannis K.; Hilout, Saäid Local convergence analysis for a certain class of inexact methods. (English) Zbl 1158.65325 J. Nonlinear Sci. Appl. 1, No. 4, 244-253 (2008). MSC: 65K10 65G99 65J99 65H10 49M15 47J20 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hilout}, J. Nonlinear Sci. Appl. 1, No. 4, 244--253 (2008; Zbl 1158.65325) Full Text: DOI EMIS EuDML
Kulisch, Ulrich Computer arithmetic and validity. Theory, implementation, and applications. (English) Zbl 1149.65034 de Gruyter Studies in Mathematics 33. Berlin: de Gruyter (ISBN 978-3-11-020318-9/hbk; 978-3-11-020319-6/ebook). xvii, 409 p. (2008). Reviewer: Günter Mayer (Rostock) MSC: 65G30 65-02 65G40 65G50 65D25 65H10 65G20 65F10 PDF BibTeX XML Cite \textit{U. Kulisch}, Computer arithmetic and validity. Theory, implementation, and applications. Berlin: de Gruyter (2008; Zbl 1149.65034) Full Text: DOI
Dahlquist, Germund; Björck, Åke Numerical methods in scientific computing. Vol. 1. (English) Zbl 1153.65001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-44-3/hbk; 978-0-89871-778-5/ebook). xxvii, 717 p. (2008). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65H05 65Q05 65Dxx 65Gxx 65Fxx 65C05 65C10 65B05 65T50 65Hxx 65Y15 PDF BibTeX XML Cite \textit{G. Dahlquist} and \textit{Å. Björck}, Numerical methods in scientific computing. Vol. 1. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2008; Zbl 1153.65001) Full Text: DOI
Petković, Ljiljana D.; Petković, Miodrag S. On the Newton-like method for the inclusion of a polynomial zero. (English) Zbl 1274.65141 Appl. Anal. Discrete Math. 1, No. 1, 217-227 (2007). MSC: 65H04 65E05 30C15 65G30 PDF BibTeX XML Cite \textit{L. D. Petković} and \textit{M. S. Petković}, Appl. Anal. Discrete Math. 1, No. 1, 217--227 (2007; Zbl 1274.65141) Full Text: DOI
Krämer, Walter Introduction to the Maple Power Tool intpakX. (English) Zbl 1144.68385 Serdica J. Comput. 1, No. 4, 469-504 (2007). MSC: 68W30 PDF BibTeX XML Cite \textit{W. Krämer}, Serdica J. Comput. 1, No. 4, 469--504 (2007; Zbl 1144.68385) Full Text: EuDML
Bao, P. G.; Anton, F.; Rokne, J. G. Existence of a unique zero of nonlinear systems. (English) Zbl 1154.65035 J. Numer. Math. 15, No. 1, 1-6 (2007). Reviewer: Svetoslav Markov (Sofia) MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{P. G. Bao} et al., J. Numer. Math. 15, No. 1, 1--6 (2007; Zbl 1154.65035) Full Text: DOI
Zhang, Ting; Xia, Bican A new method for real root isolation of univariate polynomials. (English) Zbl 1132.68074 Math. Comput. Sci. 1, No. 2, 305-320 (2007). MSC: 68W30 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{B. Xia}, Math. Comput. Sci. 1, No. 2, 305--320 (2007; Zbl 1132.68074) Full Text: DOI
Özer, Mehmet; Valaristos, A.; Polatoglu, Yasar; Hacibekiroglu, Gürsel; Čenys, Antanas; Anagnostopoulos, A. N. A characterization of the dynamics of Newton’s derivative. (English) Zbl 1128.37057 Taş, K. (ed.) et al., Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27–29, 2006. Dordrecht: Springer (ISBN 978-1-4020-5677-2/hbk; 978-1-4020-5678-9/e-book). 423-433 (2007). MSC: 37M25 37E05 37G05 37D45 PDF BibTeX XML Cite \textit{M. Özer} et al., in: Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27--29, 2006. Dordrecht: Springer. 423--433 (2007; Zbl 1128.37057) Full Text: DOI
Qu, Shao-Jian; Zhang, Ke-Cun; Zhao, Jia-Kun An efficient algorithm for globally minimizing sum of quadratic ratios problem with nonconvex quadratic constraints. (English) Zbl 1126.65056 Appl. Math. Comput. 189, No. 2, 1624-1636 (2007). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C57 PDF BibTeX XML Cite \textit{S.-J. Qu} et al., Appl. Math. Comput. 189, No. 2, 1624--1636 (2007; Zbl 1126.65056) Full Text: DOI
Argyros, Ioannis K. On a nonsmooth version of Newton’s method using locally Lipschitzian operators. (English) Zbl 1196.65090 Rend. Circ. Mat. Palermo (2) 56, No. 1, 5-16 (2007). MSC: 65G99 47H10 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rend. Circ. Mat. Palermo (2) 56, No. 1, 5--16 (2007; Zbl 1196.65090) Full Text: DOI
Schwandt, Hartmut Parallel interval Newton-like Schwarz methods for almost linear parabolic problems. (English) Zbl 1110.65092 J. Comput. Appl. Math. 199, No. 2, 437-444 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65M55 65M06 65G40 35K55 65H10 65Y05 PDF BibTeX XML Cite \textit{H. Schwandt}, J. Comput. Appl. Math. 199, No. 2, 437--444 (2007; Zbl 1110.65092) Full Text: DOI
Tapamo, H.; Frommer, A. Two acceleration mechanisms in verified global optimization. (English) Zbl 1108.65069 J. Comput. Appl. Math. 199, No. 2, 390-396 (2007). MSC: 65K05 90C30 65G20 65G30 65Y05 PDF BibTeX XML Cite \textit{H. Tapamo} and \textit{A. Frommer}, J. Comput. Appl. Math. 199, No. 2, 390--396 (2007; Zbl 1108.65069) Full Text: DOI
Argyros, Ioannis K. Local convergence for the curve tracing of the homotopy method. (English) Zbl 1189.65124 Rev. Colomb. Mat. 40, No. 2, 105-110 (2006). MSC: 65K05 65G99 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rev. Colomb. Mat. 40, No. 2, 105--110 (2006; Zbl 1189.65124) Full Text: EMIS EuDML
Berger, A.; Hill, T. P. A characterisation of Newton maps. (English) Zbl 1151.37063 ANZIAM J. 48, No. 2, 211-223 (2006). MSC: 37N30 37E05 65H05 PDF BibTeX XML Cite \textit{A. Berger} and \textit{T. P. Hill}, ANZIAM J. 48, No. 2, 211--223 (2006; Zbl 1151.37063) Full Text: DOI
Zhang, Xian; Cai, Jianfeng; Wei, Yimin Interval iterative methods for computing Moore-Penrose inverse. (English) Zbl 1115.65039 Appl. Math. Comput. 183, No. 1, 522-532 (2006). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F20 65F10 65G30 PDF BibTeX XML Cite \textit{X. Zhang} et al., Appl. Math. Comput. 183, No. 1, 522--532 (2006; Zbl 1115.65039) Full Text: DOI
Lee, Youngjo; Nelder, John A.; Pawitan, Yudi Generalized linear models with random effects: unified analysis via \(h\)-likelihood. With CD-ROM. (English) Zbl 1110.62092 Monographs on Statistics and Applied Probability 106. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-631-5/hbk; 978-1-4200-1134-0/ebook). x, 396 p. (2006). Reviewer: Yuehua Wu (Toronto) MSC: 62J12 62-02 62Pxx PDF BibTeX XML Cite \textit{Y. Lee} et al., Generalized linear models with random effects: unified analysis via \(h\)-likelihood. With CD-ROM. Boca Raton, FL: Chapman \& Hall/CRC (2006; Zbl 1110.62092) Full Text: DOI
Sahari, M. L.; Djellit, I. Fractal Newton basins. (English) Zbl 1104.37034 Discrete Dyn. Nat. Soc. 2006, No. 1, Article ID 28756, 16 p. (2006). MSC: 37F10 37D45 37E05 37F50 65H05 PDF BibTeX XML Cite \textit{M. L. Sahari} and \textit{I. Djellit}, Discrete Dyn. Nat. Soc. 2006, No. 1, Article ID 28756, 16 p. (2006; Zbl 1104.37034) Full Text: DOI EuDML
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 PDF BibTeX XML Cite \textit{L. Zhu}, Appl. Math. Comput. 168, No. 1, 677--685 (2005; Zbl 1109.65050) Full Text: DOI
Kubica, Bartłomiej Jacek; Malinowski, Krzysztof An interval global optimization algorithm combining symbolic rewriting and componentwise Newton method applied to control a class of queueing systems. (English) Zbl 1077.65063 Reliab. Comput. 11, No. 5, 393-411 (2005). MSC: 65K05 90C30 90C53 90C57 90C90 65G30 68M20 PDF BibTeX XML Cite \textit{B. J. Kubica} and \textit{K. Malinowski}, Reliab. Comput. 11, No. 5, 393--411 (2005; Zbl 1077.65063) Full Text: DOI
Petković, L. D.; Petković, M. S.; Milošević, D. Weierstrass-like methods with corrections for the inclusion of polynomial zeros. (English) Zbl 1086.65050 Computing 75, No. 1, 55-69 (2005). Reviewer: René Lamour (Berlin) MSC: 65H05 30C15 65G30 PDF BibTeX XML Cite \textit{L. D. Petković} et al., Computing 75, No. 1, 55--69 (2005; Zbl 1086.65050) Full Text: DOI
Petković, Miodrag S.; Milošević, Dušan M. Laguerre-like methods with corrections for the inclusion of polynomial zeros. (English) Zbl 1109.65048 Novi Sad J. Math. 34, No. 1, 135-156 (2004). Reviewer: Ljiljana Petković (Niš) MSC: 65H05 30C15 65E05 65G30 65Y20 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{D. M. Milošević}, Novi Sad J. Math. 34, No. 1, 135--156 (2004; Zbl 1109.65048) Full Text: EuDML
Sahai, Hardeo; Ojeda, Mario Miguel Analysis of variance for random models. Vol. 1: Balanced data. Theory, methods, applications, and data analysis. (English) Zbl 1076.62075 Boston: Birkhäuser (ISBN 0-8176-3230-1/hbk). xxv, 484 p. (2004). Reviewer: Yuehua Wu (Toronto) MSC: 62J10 62-01 62Pxx PDF BibTeX XML Cite \textit{H. Sahai} and \textit{M. M. Ojeda}, Analysis of variance for random models. Vol. 1: Balanced data. Theory, methods, applications, and data analysis. Boston: Birkhäuser (2004; Zbl 1076.62075)
Lin, Y.; Stadtherr, M. A. Advances in interval methods for deterministic global optimization in chemical engineering. (English) Zbl 1065.65076 J. Glob. Optim. 29, No. 3, 281-296 (2004). MSC: 65K05 90C26 65G40 92E20 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{M. A. Stadtherr}, J. Glob. Optim. 29, No. 3, 281--296 (2004; Zbl 1065.65076) Full Text: DOI
Schäfer, Uwe A linear complementarity problem with a P-matrix. (English) Zbl 1133.90402 SIAM Rev. 46, No. 2, 189-201 (2004). MSC: 90C33 65G20 65G50 65G40 65K10 PDF BibTeX XML Cite \textit{U. Schäfer}, SIAM Rev. 46, No. 2, 189--201 (2004; Zbl 1133.90402) Full Text: DOI
Petković, Miodrag S.; Milošević, Dušan M. Ostrowski-like method with corrections for the inclusion of polynomial zeros. (English) Zbl 1075.65070 Reliab. Comput. 10, No. 6, 437-467 (2004). Reviewer: Jiří Rohn (Praha) MSC: 65H05 30C15 26C10 12Y05 65G30 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{D. M. Milošević}, Reliab. Comput. 10, No. 6, 437--467 (2004; Zbl 1075.65070) Full Text: DOI
Senio, P. S. Direct interval methods for solution of variational problems and problems of optimal control. (Russian. English summary) Zbl 1052.49029 Din. Sist., Simferopol’ 18, 44-50 (2004). Reviewer: I. T. Selezov (Kyïv) MSC: 49M15 49J15 49J35 PDF BibTeX XML Cite \textit{P. S. Senio}, Din. Sist., Simferopol' 18, 44--50 (2004; Zbl 1052.49029)
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. (English) Zbl 1060.65002 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-561-X/pbk; 978-0-89871-796-9/ebook). xi, 306 p. (2004). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Dxx 65Fxx 68W30 65C50 65T40 PDF BibTeX XML Cite \textit{F. Bornemann} et al., The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2004; Zbl 1060.65002) Full Text: DOI
Hansen, Eldon; Walster, G. William Global optimization using interval analysis. 2nd ed., revised and expanded. (English) Zbl 1103.90092 Pure and Applied Mathematics, Marcel Dekker 264. New York, NY: Marcel Dekker (ISBN 0-8247-4059-9/hbk). xvii, 489 p. (2004). Reviewer: Günter Mayer (Rostock) MSC: 90C30 90-02 65G30 65K10 90C26 65G40 PDF BibTeX XML Cite \textit{E. Hansen} and \textit{G. W. Walster}, Global optimization using interval analysis. 2nd ed., revised and expanded. New York, NY: Marcel Dekker (2004; Zbl 1103.90092)
Sen, Rabindra Nath Ball Newton’s method versus ball Stirling’s method. (English) Zbl 1094.65510 Rev. Bull. Calcutta Math. Soc. 11, No. 1-2, 75-82 (2003). MSC: 65H10 65G30 35J65 65N06 PDF BibTeX XML Cite \textit{R. N. Sen}, Rev. Bull. Calcutta Math. Soc. 11, No. 1--2, 75--82 (2003; Zbl 1094.65510)
Argyros, Ioannis K. A convergence analysis of an iterative algorithm of order \(1.839\dots\) under weak assumptions. (English) Zbl 1084.65500 Rev. Anal. Numér. Théor. Approx. 32, No. 2, 123-134 (2003). MSC: 65B05 65G99 65J15 65N30 65N35 49M15 47J25 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rev. Anal. Numér. Théor. Approx. 32, No. 2, 123--134 (2003; Zbl 1084.65500)