Kampas, Frank J.; Pintér, János D.; Castillo, Ignacio Model development and solver demonstrations using randomized test problems. (English) Zbl 1509.90002 SN Oper. Res. Forum 4, No. 1, Paper No. 13, 15 p. (2023). MSC: 90-02 PDFBibTeX XMLCite \textit{F. J. Kampas} et al., SN Oper. Res. Forum 4, No. 1, Paper No. 13, 15 p. (2023; Zbl 1509.90002) Full Text: DOI
Fox, William P. Nonlinear optimization. Models and applications. (English) Zbl 1468.90128 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-0-367-44415-0/hbk; 978-1-003-00957-3/ebook). xxi, 394 p. (2021). Reviewer: Alfred Göpfert (Leipzig) MSC: 90-01 90C30 90C90 90-10 PDFBibTeX XMLCite \textit{W. P. Fox}, Nonlinear optimization. Models and applications. Boca Raton, FL: CRC Press (2021; Zbl 1468.90128) Full Text: DOI
Xiao, Shuijing; Zeng, Guangxing Solving the equality-constrained minimization problem of polynomial functions. (English) Zbl 1432.90147 J. Glob. Optim. 75, No. 3, 683-733 (2019). MSC: 90C30 68W30 12J15 12F10 PDFBibTeX XMLCite \textit{S. Xiao} and \textit{G. Zeng}, J. Glob. Optim. 75, No. 3, 683--733 (2019; Zbl 1432.90147) Full Text: DOI
M.-Alizadeh, Benyamin; Basiri, Abdolali; Rahmany, Sajjad Applying Gröbner basis method to multiparametric polynomial nonlinear programming. (English) Zbl 1423.13149 Bull. Iran. Math. Soc. 45, No. 6, 1585-1603 (2019). MSC: 13P25 13P10 90C30 PDFBibTeX XMLCite \textit{B. M. -Alizadeh} et al., Bull. Iran. Math. Soc. 45, No. 6, 1585--1603 (2019; Zbl 1423.13149) Full Text: DOI
Awange, Joseph L.; Paláncz, Béla; Lewis, Robert H.; Völgyesi, Lajos Mathematical geosciences. Hybrid symbolic-numeric methods. (English) Zbl 1394.86001 Cham: Springer (ISBN 978-3-319-67370-7/hbk; 978-3-319-67371-4/ebook). xxvii, 596 p. (2018). Reviewer: Vladimir Čadež (Beograd) MSC: 86-02 86-08 68W30 86A30 86A99 68W25 68W10 65K05 65F20 65K10 PDFBibTeX XMLCite \textit{J. L. Awange} et al., Mathematical geosciences. Hybrid symbolic-numeric methods. Cham: Springer (2018; Zbl 1394.86001) Full Text: DOI
Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. (English) Zbl 1307.49030 J. Approx. Theory 185, 63-79 (2014). Reviewer: Ctirad Matonoha (Prague) MSC: 49M27 90C25 49M37 47H05 47H09 65K05 65K10 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Approx. Theory 185, 63--79 (2014; Zbl 1307.49030) Full Text: DOI arXiv
Fasano, Giorgio; Pintér, János D. Model development and optimization for space engineering: concepts, tools, applications, and perspectives. (English) Zbl 1365.90287 Fasano, Giorgio (ed.) et al., Modeling and optimization in space engineering. New York, NY: Springer (ISBN 978-1-4614-4468-8/hbk; 978-1-4614-4469-5/ebook). Springer Optimization and Its Applications 73, 1-32 (2013). MSC: 90C90 90C30 90C11 PDFBibTeX XMLCite \textit{G. Fasano} and \textit{J. D. Pintér}, Springer Optim. Appl. 73, 1--32 (2013; Zbl 1365.90287) Full Text: DOI
Antal, Elvira; Csendes, Tibor; Virágh, János Nonlinear transformations for the simplification of unconstrained nonlinear optimization problems. (English) Zbl 1339.90010 CEJOR, Cent. Eur. J. Oper. Res. 21, No. 4, 665-684 (2013). MSC: 90-04 90C26 68W30 13P25 PDFBibTeX XMLCite \textit{E. Antal} et al., CEJOR, Cent. Eur. J. Oper. Res. 21, No. 4, 665--684 (2013; Zbl 1339.90010) Full Text: DOI
Grivet, Jean-Philippe [Ribot, Magali] Applied numerical methods for the scientist and the engineer. With the collaboration of Magali Ribot. (Méthodes numériques appliqués pour le scientifique et l’ingénieur. Avec la contribution de Magali Ribot.) (French) Zbl 1328.65004 Grenoble Sciences. Les Ulis: EDP Sciences (ISBN 978-2-7598-0829-8/pbk). xiv, 391 p. (2013). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 00A06 00A69 65Dxx 65C05 65Fxx 65H05 65T50 65Lxx 65Nxx 65Mxx PDFBibTeX XMLCite \textit{J.-P. Grivet}, Méthodes numériques appliqués pour le scientifique et l'ingénieur. Avec la contribution de Magali Ribot. Les Ulis: EDP Sciences (2013; Zbl 1328.65004)
Pintér, János D.; Kampas, Frank J. Benchmarking nonlinear optimization software in technical computing environments. (English) Zbl 1263.65056 Top 21, No. 1, 133-162 (2013). MSC: 65K05 90C05 90C31 PDFBibTeX XMLCite \textit{J. D. Pintér} and \textit{F. J. Kampas}, Top 21, No. 1, 133--162 (2013; Zbl 1263.65056) Full Text: DOI
Borwein, Jonathan M.; Sims, Brailey The Douglas-Rachford algorithm in the absence of convexity. (English) Zbl 1259.90098 Bauschke, Heinz H. (ed.) et al., Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. New York, NY: Springer (ISBN 978-1-4419-9568-1/hbk; 978-1-4419-9569-8/ebook). Springer Optimization and Its Applications 49, 93-109 (2011). Reviewer: Alfred Göpfert (Halle) MSC: 90C26 90C48 65K99 49M37 47H10 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{B. Sims}, Springer Optim. Appl. 49, 93--109 (2011; Zbl 1259.90098) Full Text: DOI
Forst, Wilhelm; Hoffmann, Dieter Optimization – theory and practice. (English) Zbl 1211.90002 Springer Undergraduate Texts in Mathematics and Technology. New York, NY: Springer (ISBN 978-0-387-78976-7/hbk; 978-0-387-78977-4/ebook). xviii, 402 p. (2010). Reviewer: Jaroslav Janáček (Žilina) MSC: 90-01 90C05 90C20 90C30 49M15 90C46 90C55 90C51 90C22 90C26 PDFBibTeX XMLCite \textit{W. Forst} and \textit{D. Hoffmann}, Optimization -- theory and practice. New York, NY: Springer (2010; Zbl 1211.90002) Full Text: DOI
Fishback, Paul E. Linear and nonlinear programming with Maple. An interactive applications-based approach. (English) Zbl 1183.90001 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4200-9064-2/hbk). xxii, 391 p. (2010). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90-01 65K05 90Cxx 90-08 PDFBibTeX XMLCite \textit{P. E. Fishback}, Linear and nonlinear programming with Maple. An interactive applications-based approach. Boca Raton, FL: CRC Press (2010; Zbl 1183.90001)
Kaltofen, Erich; Li, Bin; Yang, Zhengfeng; Zhi, Lihong Exact certification of global optimality of approximate factorizations via rationalizing sums-of-squares with floating point scalars. (English) Zbl 1493.68402 Jeffrey, David J. (ed.), Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20–23, 2008. New York, NY: Association for Computing Machinery (ACM). 155-164 (2008). MSC: 68W30 90C30 PDFBibTeX XMLCite \textit{E. Kaltofen} et al., in: Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20--23, 2008. New York, NY: Association for Computing Machinery (ACM). 155--164 (2008; Zbl 1493.68402) Full Text: DOI
Beliakov, G.; Ugon, J. Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. (English) Zbl 1127.65033 Optimization 56, No. 5-6, 543-546 (2007). MSC: 65K05 90C26 90C30 90C56 65Y15 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{J. Ugon}, Optimization 56, No. 5--6, 543--546 (2007; Zbl 1127.65033) Full Text: DOI Link
Pintér, János D. Nonlinear optimization with GAMS /LGO. (English) Zbl 1179.90311 J. Glob. Optim. 38, No. 1, 79-101 (2007). MSC: 90C30 90-04 PDFBibTeX XMLCite \textit{J. D. Pintér}, J. Glob. Optim. 38, No. 1, 79--101 (2007; Zbl 1179.90311) Full Text: DOI
Freund, Roland W.; Hoppe, Ronald H. W. Stoer/Bulirsch: Numerical mathematics 1. 10th revised ed. (Stoer/Bulirsch: Numerische Mathematik 1.) (German) Zbl 1129.65001 Springer-Lehrbuch. Berlin: Springer (ISBN 978-3-540-45389-5/pbk). xi, 410 p. (2007). Reviewer: Immo O. Kerner (Nienhagen) MSC: 65-01 65Bxx 65Dxx 65Fxx 65Gxx 65Hxx 65K05 PDFBibTeX XMLCite \textit{R. W. Freund} and \textit{R. H. W. Hoppe}, Stoer/Bulirsch: Numerische Mathematik 1. 10th revised ed. Berlin: Springer (2007; Zbl 1129.65001) Full Text: DOI
Safouhi, Hassan; Bouferguene, Ahmed Symbolic programming language in molecular multicenter integral problem. (English) Zbl 1188.68368 Int. J. Quantum Chem. 106, No. 1, 65-78 (2006). MSC: 68W30 81-08 81V55 PDFBibTeX XMLCite \textit{H. Safouhi} and \textit{A. Bouferguene}, Int. J. Quantum Chem. 106, No. 1, 65--78 (2006; Zbl 1188.68368) Full Text: DOI
Trott, Michael The Mathematica guidebook for numerics. With DVD. (English) Zbl 1101.65001 New York, NY: Springer (ISBN 0-387-95011-7/hbk). xxxvi, 1208 p. (2006). Reviewer: Immo O. Kerner (Nienhagen) MSC: 65-00 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65K05 65Mxx 65Nxx 65T50 65Y15 PDFBibTeX XMLCite \textit{M. Trott}, The Mathematica guidebook for numerics. With DVD. New York, NY: Springer (2006; Zbl 1101.65001) Full Text: DOI
Pintér, Jànos D. Global optimization toolbox for Maple: introduction and applications. (English) Zbl 1107.65052 Kotsireas, Ilias S. (ed.), Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17–21, 2005.With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft (ISBN 1-894511-85-9/pbk). 70-85 (2005). MSC: 65K05 90C30 68W30 PDFBibTeX XMLCite \textit{J. D. Pintér}, in: Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17--21, 2005. With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft. 70--85 (2005; Zbl 1107.65052)
Stoer, Josef [Bauer, F. L.] Numerical mathematics 1. An introduction – under consideration of lectures by F. L. Bauer. 9th ed. (Numerische Mathematik 1. Eine Einführung – unter Berücksichtigung von Vorlesungen von F. L. Bauer.) (German) Zbl 1055.65002 Berlin: Springer (ISBN 3-540-21395-3/pbk). xii, 383 p. (2005). Reviewer: Immo O. Kerner (Nienhagen) MSC: 65-01 65Bxx 65Dxx 65Fxx 65Gxx 65Hxx 65K05 65Txx PDFBibTeX XMLCite \textit{J. Stoer}, Numerische Mathematik 1. Eine Einführung -- unter Berücksichtigung von Vorlesungen von F. L. Bauer. 9th ed. Berlin: Springer (2005; Zbl 1055.65002)
Galperin, E. A.; Ekel, P. Ya.; Pereira, J. G. jun. The cubic algorithm for global optimization with box and equality constraints and application to the optimal allocation of resources. (English) Zbl 1064.65046 Math. Comput. Modelling 40, No. 1-2, 63-76 (2004). MSC: 65K05 90C30 91B32 65H10 65Y15 PDFBibTeX XMLCite \textit{E. A. Galperin} et al., Math. Comput. Modelling 40, No. 1--2, 63--76 (2004; Zbl 1064.65046) Full Text: DOI
Subasi, Murat; Yildirim, Necmettin; Yildiz, Bünyamin An improvement on Fibonacci search method in optimization theory. (English) Zbl 1034.65046 Appl. Math. Comput. 147, No. 3, 893-901 (2004). MSC: 65K05 90C30 65Y15 PDFBibTeX XMLCite \textit{M. Subasi} et al., Appl. Math. Comput. 147, No. 3, 893--901 (2004; Zbl 1034.65046) Full Text: DOI
Delgado Pineda, M.; Galperin, E. A. Global optimization in \(\mathbb R^{n}\) with box constraints and applications: a MAPLE code. (English) Zbl 1080.90071 Math. Comput. Modelling 38, No. 1-2, 77-97 (2003). MSC: 90C30 90-04 PDFBibTeX XMLCite \textit{M. Delgado Pineda} and \textit{E. A. Galperin}, Math. Comput. Modelling 38, No. 1--2, 77--97 (2003; Zbl 1080.90071) Full Text: DOI
Geum, Young Hee; Kim, Young Ik A study on computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1083.65053 Int. J. Comput. Math. 80, No. 2, 223-232 (2003). Reviewer: Otu Vaarmann (Tallinn) MSC: 65H17 68W30 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, Int. J. Comput. Math. 80, No. 2, 223--232 (2003; Zbl 1083.65053) Full Text: DOI
Xia, Bican; Hou, Xiaorong A complete algorithm for counting real solutions of polynomial systems of equations and inequalities. (English) Zbl 1035.65054 Comput. Math. Appl. 44, No. 5-6, 633-642 (2002). MSC: 65H10 30C15 68W30 12Y05 13P05 26C10 65K05 90C30 PDFBibTeX XMLCite \textit{B. Xia} and \textit{X. Hou}, Comput. Math. Appl. 44, No. 5--6, 633--642 (2002; Zbl 1035.65054) Full Text: DOI
Xia, B. C.; Yang, L. An effective algorithm for isolating the real solutions of semi-algebraic systems and its applications. (English) Zbl 1009.65029 Shirayanagi, Kiyoshi (ed.) et al., Computer mathematics. Proceedings of the 5th Asian symposium (ASCM 2001), Matsuyama, Japan, September 26-28, 2001. Singapore: World Scientific. Lect. Notes Ser. Comput. 9, 211-220 (2001). MSC: 65H10 90C30 65K05 65Y15 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{B. C. Xia} and \textit{L. Yang}, Lect. Notes Ser. Comput. 9, 211--220 (2001; Zbl 1009.65029)
Ferrer Biosca, Albert Representation of a polynomial function as a difference of convex polynomials, with an application. (English) Zbl 0986.90037 Hadjisavvas, Nicolas (ed.) et al., Generalized convexity and generalized monotonicity. Proceedings of the 6th international symposium, Samos, Greece, September 1999. Berlin: Springer. Lect. Notes Econ. Math. Syst. 502, 189-207 (2001). Reviewer: V.Postolică (Piatra Neamt) MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{A. Ferrer Biosca}, Lect. Notes Econ. Math. Syst. 502, 189--207 (2001; Zbl 0986.90037)
Parlar, Mahmut Interactive operations research with Maple. Methods and models. (English) Zbl 0967.90001 Boston: Birkhäuser. xiv, 468 p. (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 90-08 90-01 60-08 90Cxx 91B28 68W01 65Y15 PDFBibTeX XMLCite \textit{M. Parlar}, Interactive operations research with Maple. Methods and models. Boston: Birkhäuser (2000; Zbl 0967.90001)
Kálovics, F. Zone functions and some applications. (English) Zbl 0986.90052 Publ. Univ. Miskolc, Ser. D, Nat. Sci., Math. 39, 39-45 (1999). Reviewer: Światomir Ząbek (Lublin) MSC: 90C30 65G40 65H10 PDFBibTeX XMLCite \textit{F. Kálovics}, Publ. Univ. Miskolc, Ser. D, Nat. Sci., Math. 39, 39--45 (1999; Zbl 0986.90052)
Abell, Martha L.; Braselton, James P. Maple V by example. Incl. 1 CD-ROM. 2nd ed. (English) Zbl 0958.65003 San Diego, CA: Academic Press. xii, 644 p. (1998). Reviewer: Octavian Pastravanu (Iaşi) MSC: 65-01 68N15 26-04 15-04 34-04 35-04 65Yxx 65Dxx 65K05 65Mxx 65Fxx 65Lxx 65Hxx 68U05 68W30 PDFBibTeX XMLCite \textit{M. L. Abell} and \textit{J. P. Braselton}, Maple V by example. Incl. 1 CD-ROM. 2nd ed. San Diego, CA: Academic Press (1998; Zbl 0958.65003)
Kálovics, Ferenc; Mészáros, Gabriella Finding global minima of maximum functions by using exclusion functions without derivatives. (English) Zbl 0885.65064 Reliab. Comput. 3, No. 4, 381-399 (1997). Reviewer: K.Schittkowski (Bayreuth) MSC: 65K05 90C30 65G30 PDFBibTeX XMLCite \textit{F. Kálovics} and \textit{G. Mészáros}, Reliab. Comput. 3, No. 4, 381--399 (1997; Zbl 0885.65064) Full Text: DOI
Lindfield, George; Penny, John Numerical methods using MATLAB. (English) Zbl 0823.65002 London: Ellis Horwood. xii, 328 p. (1995). Reviewer: M. Fritsche (Jena) MSC: 65-01 65Kxx 65Mxx 65Dxx 65Fxx 65Hxx 65Lxx PDFBibTeX XMLCite \textit{G. Lindfield} and \textit{J. Penny}, Numerical methods using MATLAB. London: Ellis Horwood (1995; Zbl 0823.65002)
Li, Peiyuan; Peskin, Richard L. Implementation of a mapping procedure for the domain decomposition for PDEs in Maple. (English) Zbl 0813.65133 Lopez, Robert J. (ed.), Maple V: Mathematics and its application. Proceedings of the Maple summer workshop and symposium, Rensselaer Polytechnic Institute, Troy, New York, USA, August 9-13, 1994. Boston, MA: Birkhäuser. 46-54 (1994). Reviewer: L.S.Ioffe (Haifa) MSC: 65N55 65Y05 68W30 35J65 PDFBibTeX XMLCite \textit{P. Li} and \textit{R. L. Peskin}, in: Maple V: Mathematics and its application. Proceedings of the Maple summer workshop and symposium, Rensselaer Polytechnic Institute, Troy, New York, USA, August 9-13, 1994. Boston, MA: Birkhäuser. 46--54 (1994; Zbl 0813.65133)
Bestle, Dieter; Eberhard, Peter Automated approach for optimizing dynamic systems. (English) Zbl 0825.93044 Bulirsch, R. (ed.) et al., Computational optimal control. Proceedings of the 9th IFAC workshop on control applications of optimization held at the Fachhochschule München in September 1992. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 115, 225-235 (1994). MSC: 93A30 90C29 90C55 90C90 93C83 49-04 49M37 PDFBibTeX XMLCite \textit{D. Bestle} and \textit{P. Eberhard}, ISNM, Int. Ser. Numer. Math. 115, 225--235 (1994; Zbl 0825.93044) Full Text: DOI Link
Mayorga, R. V.; Wong, A. K. C.; Ma, K. S. An efficient local approach for the path generation of robot manipulators. (English) Zbl 0692.70007 J. Rob. Syst. 7, No. 1, 23-55 (1990). MSC: 70B15 70G10 70Q05 93C99 PDFBibTeX XMLCite \textit{R. V. Mayorga} et al., J. Rob. Syst. 7, No. 1, 23--55 (1990; Zbl 0692.70007) Full Text: DOI
Char, Bruce W.; MacNaughton, Alan R.; Strooper, Paul A. Discovering inequality conditions in the analytic solution of optimization problems. (English) Zbl 0674.90085 J. Autom. Reasoning 5, No. 3, 339-362 (1989). MSC: 90C30 65K05 68T20 PDFBibTeX XMLCite \textit{B. W. Char} et al., J. Autom. Reasoning 5, No. 3, 339--362 (1989; Zbl 0674.90085) Full Text: DOI
Buckley, Albert G. Long vectors for quasi-Newton updates. (English) Zbl 0622.90077 Math. Program. 36, 256-279 (1986). Reviewer: J.F.Bonnans MSC: 90C30 65K05 49M37 65K10 15A24 65F99 PDFBibTeX XMLCite \textit{A. G. Buckley}, Math. Program. 36, 256--279 (1986; Zbl 0622.90077) Full Text: DOI