Allendes, A.; Fuica, F.; Otárola, E. Adaptive finite element methods for sparse PDE-constrained optimization. (English) Zbl 1466.65175 IMA J. Numer. Anal. 40, No. 3, 2106-2142 (2020). MSC: 65N30 65N15 65N50 35J05 49M25 49M41 PDF BibTeX XML Cite \textit{A. Allendes} et al., IMA J. Numer. Anal. 40, No. 3, 2106--2142 (2020; Zbl 1466.65175) Full Text: DOI arXiv OpenURL
Abbasov, Majid E. Optimality conditions for an exhausterable function on an exhausterable set. (English) Zbl 07175964 J. Glob. Optim. 76, No. 1, 57-67 (2020). MSC: 49J52 90C46 90C47 PDF BibTeX XML Cite \textit{M. E. Abbasov}, J. Glob. Optim. 76, No. 1, 57--67 (2020; Zbl 07175964) Full Text: DOI arXiv OpenURL
El Ghali, A.; El Moudden, M. An implementation of a reduced subgradient method via Luenberger-Mokhtar variant. (English) Zbl 1346.90815 Optimization 65, No. 7, 1497-1518 (2016). MSC: 90C52 65K05 PDF BibTeX XML Cite \textit{A. El Ghali} and \textit{M. El Moudden}, Optimization 65, No. 7, 1497--1518 (2016; Zbl 1346.90815) Full Text: DOI OpenURL
Eberhard, Andrew C.; Mordukhovich, Boris S. First-order and second-order optimality conditions for nonsmooth constrained problems via convolution smoothing. (English) Zbl 1216.49019 Optimization 60, No. 1-3, 253-275 (2011). MSC: 49K10 49J52 90C30 90C26 26A27 49J45 PDF BibTeX XML Cite \textit{A. C. Eberhard} and \textit{B. S. Mordukhovich}, Optimization 60, No. 1--3, 253--275 (2011; Zbl 1216.49019) Full Text: DOI Link OpenURL
Liuzzi, G.; Lucidi, S. A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an \(\ell_\infty\) penalty function. (English) Zbl 1187.65065 SIAM J. Optim. 20, No. 1, 1-29 (2009). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C56 92C40 PDF BibTeX XML Cite \textit{G. Liuzzi} and \textit{S. Lucidi}, SIAM J. Optim. 20, No. 1, 1--29 (2009; Zbl 1187.65065) Full Text: DOI OpenURL
Karmitsa, N. M. S.; Mäkelä, M. M.; Ali, M. M. Limited memory interior point bundle method for large inequality constrained nonsmooth minimization. (English) Zbl 1137.65043 Appl. Math. Comput. 198, No. 1, 382-400 (2008). MSC: 65K05 90C06 90C51 90C26 PDF BibTeX XML Cite \textit{N. M. S. Karmitsa} et al., Appl. Math. Comput. 198, No. 1, 382--400 (2008; Zbl 1137.65043) Full Text: DOI Link OpenURL
Al-Khayyal, Faiz; Tuy, Hoang; Zhou, Fangjun Large-scale single facility continuous location by d. c. optimization. (English) Zbl 1030.90049 Optimization 51, No. 2, 271-292 (2002). MSC: 90B85 90C26 90C30 90C55 PDF BibTeX XML Cite \textit{F. Al-Khayyal} et al., Optimization 51, No. 2, 271--292 (2002; Zbl 1030.90049) Full Text: DOI OpenURL
Zhang, Juliang; Zhang, Xiangsun A SQP method for inequality constrained optimization. (English) Zbl 1114.90480 Acta Math. Appl. Sin., Engl. Ser. 18, No. 1, 77-84 (2002). MSC: 90C55 65K05 90C30 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 18, No. 1, 77--84 (2002; Zbl 1114.90480) Full Text: DOI OpenURL
Nurminskij, E. A. Separating plane algorithms for equality constrained convex optimization. (English) Zbl 0904.90133 Dal’nevost. Mat. Sb. 2, 139-145 (1996). MSC: 90C25 49J52 PDF BibTeX XML Cite \textit{E. A. Nurminskij}, Dal'nevost. Mat. Sb. 2, 139--145 (1996; Zbl 0904.90133) OpenURL
Di Pillo, G.; Facchinei, F. Exact barrier function methods for Lipschitz programs. (English) Zbl 0837.90108 Appl. Math. Optimization 32, No. 1, 1-31 (1995). MSC: 90C30 49M30 65K05 49J52 PDF BibTeX XML Cite \textit{G. Di Pillo} and \textit{F. Facchinei}, Appl. Math. Optim. 32, No. 1, 1--31 (1995; Zbl 0837.90108) Full Text: DOI OpenURL
Pinar, Mustafa Ç.; Zenios, Stavros A. On smoothing exact penalty functions for convex constrained optimization. (English) Zbl 0819.90072 SIAM J. Optim. 4, No. 3, 486-511 (1994). MSC: 90C25 90B10 49M30 90C06 PDF BibTeX XML Cite \textit{M. Ç. Pinar} and \textit{S. A. Zenios}, SIAM J. Optim. 4, No. 3, 486--511 (1994; Zbl 0819.90072) Full Text: DOI OpenURL
Tang, Huanwen; Zhang, Liwei; Wang, Xuehua A maximum entropy method for a sort of constrained nondifferentiable optimization problems. (Chinese. English summary) Zbl 0850.65124 Math. Numer. Sin. 15, No. 3, 268-275 (1993). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{H. Tang} et al., Math. Numer. Sin. 15, No. 3, 268--275 (1993; Zbl 0850.65124) OpenURL
Kim, Sehun; Um, Bong-sik An improved subgradient method for constrained nondifferentiable optimization. (English) Zbl 0792.90071 Oper. Res. Lett. 14, No. 1, 61-64 (1993). MSC: 90C30 49J52 PDF BibTeX XML Cite \textit{S. Kim} and \textit{B.-s. Um}, Oper. Res. Lett. 14, No. 1, 61--64 (1993; Zbl 0792.90071) Full Text: DOI OpenURL
Zhao, Fuan On sufficiency of the Kuhn-Tucker conditions in nondifferentiable programming. (English) Zbl 0760.90078 Bull. Aust. Math. Soc. 46, No. 3, 385-390 (1992). Reviewer: B.D.Craven (Parkville) MSC: 90C26 90C30 PDF BibTeX XML Cite \textit{F. Zhao}, Bull. Aust. Math. Soc. 46, No. 3, 383--387 (1992; Zbl 0760.90078) Full Text: DOI OpenURL
Sun, Zaidong A family of implemented Clarke’s generalized gradient projection algorithms and its convergence. (Chinese. English summary) Zbl 0728.90082 J. Qufu Norm. Univ., Nat. Sci. 17, No. 1, 40-45 (1991). MSC: 90C30 90-08 49J52 90C26 PDF BibTeX XML Cite \textit{Z. Sun}, J. Qufu Norm. Univ., Nat. Sci. 17, No. 1, 40--45 (1991; Zbl 0728.90082) OpenURL
Gilbert, Jean Charles Maintaining the positive definiteness of the matrices in reduced secant methods for equality constrained optimization. (English) Zbl 0721.90068 Math. Program., Ser. A 50, No. 1, 1-28 (1991). Reviewer: C.Vârsan (Bucureşti) MSC: 90C30 49M30 90-08 PDF BibTeX XML Cite \textit{J. C. Gilbert}, Math. Program. 50, No. 1 (A), 1--28 (1991; Zbl 0721.90068) Full Text: DOI OpenURL
Kiwiel, Krzysztof C. Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization. (English) Zbl 0754.90045 Math. Program., Ser. B 52, No. 2, 285-302 (1991). Reviewer: K.Schittkowski (Bayreuth) MSC: 90C25 49J52 65K05 49M30 90-08 PDF BibTeX XML Cite \textit{K. C. Kiwiel}, Math. Program. 52, No. 2 (B), 285--302 (1991; Zbl 0754.90045) Full Text: DOI OpenURL
Kiwiel, Krzysztof C. A method of feasible directions for certain quasidifferentiable inequality constrained minimization problems. (English) Zbl 0756.65090 Control Cybern. 19, No. 1-2, 117-129 (1990). Reviewer: R.H.W.Hoppe (München) MSC: 65K05 90C26 90C30 PDF BibTeX XML Cite \textit{K. C. Kiwiel}, Control Cybern. 19, No. 1--2, 117--129 (1990; Zbl 0756.65090) OpenURL
Parkhomenko, Tat’yana V. Minimization of the sum of absolute values of linear functions under linear constraints. (Russian. English summary) Zbl 0728.90069 Mathematics and education in mathematics, Proc. 19th Spring Conf., Sunny Beach/Bulg. 1990, 378-381 (1990). MSC: 90C25 90-08 49J52 PDF BibTeX XML OpenURL
Kiwiel, Krzysztof C. Survey of bundle methods for nondifferentiable optimization. (English) Zbl 0683.90074 Mathematical programming, Proc. 13th Int. Symp., Tokyo/Jap. 1988, Math. Appl., Jap. Ser. 6, 263-282 (1989). MSC: 90C30 65K05 49M37 90-02 PDF BibTeX XML OpenURL
Reiland, Thomas W. Generalized invexity for nonsmooth vector-valued mappings. (English) Zbl 0679.90071 Numer. Funct. Anal. Optimization 10, No. 11-12, 1192-1202 (1989). Reviewer: Th.W.Reiland MSC: 90C31 49J52 26B25 54C60 49N15 PDF BibTeX XML Cite \textit{T. W. Reiland}, Numer. Funct. Anal. Optim. 10, No. 11--12, 1192--1202 (1989; Zbl 0679.90071) Full Text: DOI OpenURL
Bertsekas, Dimitri P. [Gol’shtejn, E. G.] Constrained optimization and Lagrange multiplier methods. (Uslovnaya optimizatsiya i metody mnozhitelej Lagranzha). Transl. from the English by N. V. Tret’yakov. Transl. ed. and with a preface by E. G. Gol’shtejn. (Russian) Zbl 0662.90044 Moskva: Radio i Svyaz’. 400 p. R. 2.80 (1987). MSC: 90Cxx 90-01 90C20 65K05 49-01 49M29 49M37 49K10 49M15 49M30 90C99 90C55 65K10 PDF BibTeX XML OpenURL
Kiwiel, K. C. A subgradient selection method for minimizing convex functions subject to linear constraints. (English) Zbl 0627.65074 Computing 39, 293-305 (1987). MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{K. C. Kiwiel}, Computing 39, 293--305 (1987; Zbl 0627.65074) Full Text: DOI OpenURL
Bihain, A.; Nguyen, V. Hien; Strodiot, J.-J. A reduced subgradient algorithm. (English) Zbl 0624.90085 Math. Program. Study 30, 127-149 (1987). Reviewer: P.Loewen MSC: 90C25 65K05 90C55 PDF BibTeX XML Cite \textit{A. Bihain} et al., Math. Program. Study 30, 127--149 (1987; Zbl 0624.90085) Full Text: DOI OpenURL
Wright, Stephen J. Local properties of inexact methods for minimizing nonsmooth composite functions. (English) Zbl 0622.90072 Math. Program. 37, 232-252 (1987). Reviewer: J.-E.Martinez-Legaz MSC: 90C30 90C20 65K05 PDF BibTeX XML Cite \textit{S. J. Wright}, Math. Program. 37, 232--252 (1987; Zbl 0622.90072) Full Text: DOI OpenURL
Craven, B. D. On quasidifferentiable optimization. (English) Zbl 0633.90064 J. Aust. Math. Soc., Ser. A 41, 64-78 (1986). Reviewer: F.Colonius MSC: 90C30 49K27 PDF BibTeX XML Cite \textit{B. D. Craven}, J. Aust. Math. Soc., Ser. A 41, 64--78 (1986; Zbl 0633.90064) OpenURL
Chandra, S.; Craven, B. D.; Husain, I. A class of nondifferentiable continuous programming problems. (English) Zbl 0588.90078 J. Math. Anal. Appl. 107, 122-131 (1985). Reviewer: W.W.Breckner MSC: 90C30 65K10 49N15 49M37 49K99 PDF BibTeX XML Cite \textit{S. Chandra} et al., J. Math. Anal. Appl. 107, 122--131 (1985; Zbl 0588.90078) Full Text: DOI OpenURL
Kiwiel, Krzysztof C. An algorithm for linearly constrained nonsmooth convex multiobjective minimization. (English) Zbl 0582.90092 Annu. Rev. Autom. Program. 12, part 1, 236-238 (1985). MSC: 90C31 90C30 49M37 65K05 PDF BibTeX XML OpenURL
Di Pillo, G.; Grippo, L. A continuously differentiable exact penalty function for nonlinear programming problems with inequality constraints. (English) Zbl 0569.90072 SIAM J. Control Optimization 23, 72-84 (1985). MSC: 90C30 65K05 49M37 PDF BibTeX XML Cite \textit{G. Di Pillo} and \textit{L. Grippo}, SIAM J. Control Optim. 23, 72--84 (1985; Zbl 0569.90072) Full Text: DOI OpenURL
Lukšan, Ladislav An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation. (English) Zbl 0548.90061 Kybernetika 21, 22-40 (1985). MSC: 90C30 65K05 49J35 49M37 90C20 PDF BibTeX XML Cite \textit{L. Lukšan}, Kybernetika 21, 22--40 (1985; Zbl 0548.90061) Full Text: EuDML OpenURL
Mifflin, Robert Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. (English) Zbl 0528.49024 Math. Program. 28, 50-71 (1984). MSC: 49M37 49M30 90C30 65K05 26A27 52Bxx PDF BibTeX XML Cite \textit{R. Mifflin}, Math. Program. 28, 50--71 (1984; Zbl 0528.49024) Full Text: DOI OpenURL
Mayne, D. Q.; Polak, E. Nondifferential optimization via adaptive smoothing. (English) Zbl 0518.49024 J. Optimization Theory Appl. 43, 601-613 (1984). MSC: 49M37 65K05 90C30 26B05 49K10 PDF BibTeX XML Cite \textit{D. Q. Mayne} and \textit{E. Polak}, J. Optim. Theory Appl. 43, 601--613 (1984; Zbl 0518.49024) Full Text: DOI OpenURL
Zhang, Jianzhong; Yang, Youchang A subgradient-type feasible direction method for the constrained nondifferentiable convex programming. (Chinese) Zbl 0526.49022 Chin. Ann. Math., Ser. A 4, 271-281 (1983). MSC: 90C52 65K05 90C25 52Bxx 90C55 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{Y. Yang}, Chin. Ann. Math., Ser. A 4, 271--281 (1983; Zbl 0526.49022) OpenURL
Luksan, L. Variable metric methods for linearly constrained nonlinear minimax approximation. (English) Zbl 0514.49016 Computing 30, 315-334 (1983). MSC: 90C99 49J35 65K05 49M37 90C30 PDF BibTeX XML Cite \textit{L. Luksan}, Computing 30, 315--334 (1983; Zbl 0514.49016) Full Text: DOI OpenURL
Craven, B. D.; Mond, B. On maximizing a ratio of optimization problems. (English) Zbl 0507.90087 Cah. Cent. Étud. Rech. Opér. 25, 29-34 (1983). MSC: 90C32 90C30 49N15 PDF BibTeX XML Cite \textit{B. D. Craven} and \textit{B. Mond}, Cah. Cent. Étud. Rech. Opér. 25, 29--34 (1983; Zbl 0507.90087) OpenURL
Mifflin, Robert Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. (English) Zbl 0502.65039 IIASA Collab. Proc. Ser. CP-82-S8, 85-95 (1982). MSC: 65K05 90C20 90C25 90C55 PDF BibTeX XML OpenURL
Mifflin, Robert A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. (English) Zbl 0476.65047 Math. Program. Study 17, 77-90 (1982). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{R. Mifflin}, Math. Program. Study 17, 77--90 (1982; Zbl 0476.65047) Full Text: DOI OpenURL
Mifflin, Robert A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. (English) Zbl 0471.65039 Math. Program. Study (to appear). MSC: 65K05 90C30 PDF BibTeX XML OpenURL
Watson, G. Alistair An algorithm for a class of nonlinearly constrained nondifferentiable optimization problems. (English) Zbl 0442.65049 Konstruktive Methoden der finiten nichtlinearen Optimierung, Tag., Oberwolfach 1980, ISNM 55, 197-211 (1980). MSC: 65K05 90C25 90C30 PDF BibTeX XML OpenURL
Mifflin, Robert A feasible descent algorithm for linearly constrained least squares problems. (English) Zbl 0404.90068 Nonsmooth optimization, Proc. IIASA Workshop 1977, IIASA Proc. Ser., Vol. 3, 103-126 (1978). MSC: 90C20 65F20 PDF BibTeX XML OpenURL