Found 399 Documents (Results 1–100)
Optimality results for nondifferentiable vector optimization problems with vanishing constraints. (English) Zbl 07921154
Fréchet second-order subdifferentials of Lagrangian functions and optimality conditions. (English) Zbl 1527.49022
Reviewer: Jérôme Lohéac (Vandœuvre-lès-Nancy)
Smoothing approximations for piecewise smooth functions: a probabilistic approach. (English) Zbl 1497.65032
Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints. (English) Zbl 1504.90194
Bilevel optimization and variational analysis. (English) Zbl 1484.90115
Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 197-226 (2020).
Reviewer: Alfred Göpfert (Leipzig)
MSC:
90C30
Saddle point criteria and Wolfe duality for convex nonsmooth interval-valued vector optimization problems. (English) Zbl 1454.90048
Higher order duality of multiobjective constrained ratio optimization problems. (English) Zbl 1499.90200
More virtuous smoothing. (English) Zbl 1411.90282
Composite difference-MAX programs for modern statistical estimation problems. (English) Zbl 1407.62250
Remarks on duality for second order minimax fractional programming with \(B\)-\((p,r)\)-invex functions. (English) Zbl 1391.90584
Minimal representation in a quotient space over a lattice of unbounded closed convex sets. (English) Zbl 1377.52003
Reviewer: Hussain A. El-Saify (Beni Suef)
Second-order minimization method for nonsmooth functions allowing convex quadratic approximations of the augment. (English) Zbl 1349.49016
Solving the continuous multiple allocation \(p\)-hub median problem by the hyperbolic smoothing approach. (English) Zbl 1327.90319
Optimality conditions in nondifferentiable fuzzy optimization. (English) Zbl 1342.90230
Reviewer: Witold Pedrycz (Edmonton)
The models of bilevel programming with lower level second-order cone programs. (English) Zbl 1372.90103
MSC:
90C30
Optimality conditions in terms of alternance: two approaches. (English) Zbl 1307.90170
Reviewer: Gerhard-Wilhelm Weber (Ankara)
Substitution secant/finite difference method to large sparse minimax problems. (English) Zbl 1281.90085
On nondifferentiable nonlinear programming. (English) Zbl 1343.90090
Reviewer: Nada Djuranović-Miličić (Belgrade)
Mixed type second-order duality for a nondifferentiable continuous programming problem. (English) Zbl 1333.90145
Reviewer: Do Van Luu (Hanoi)
Nondifferentiable \((\Phi,\rho)\)-type I and generalized \((\Phi,\rho)\)-type I functions in nonsmooth vector optimization. (English) Zbl 1285.90061
The proximal Chebychev center cutting plane algorithm for convex additive functions. (English) Zbl 1292.90285
Reviewer: Alberto Seeger (Avignon)
MSC:
90C30
Arithmetic modeling of random processes and \(r\)-algorithms. (English. Russian original) Zbl 1306.90149
Cybern. Syst. Anal. 48, No. 1, 17-25 (2012); translation from Kibern. Sist. Anal. 2012, No. 1, 23-32 (2012).
MSC:
90C30
On N. Z. Shor’s three scientific ideas. (English. Russian original) Zbl 1306.90153
Cybern. Syst. Anal. 48, No. 1, 2-16 (2012); translation from Kibern. Sist. Anal. 2012, No. 1, 4-22 (2012).
Subgradient optimization in nonsmooth optimization (including the soviet revolution). (English) Zbl 1282.90135
Reviewer: Paulo Mbunga (Kiel)
Limited memory discrete gradient bundle method for nonsmooth derivative-free optimization. (English) Zbl 1259.90164
A converse duality theorem on higher-order dual models in nondifferentiable mathematical programming. (English) Zbl 1258.90069
Topological classification of continuous selections of five linear functions. (English) Zbl 1248.26009
Comparing different nonsmooth minimization methods and software. (English) Zbl 1242.90233
MSC:
90C30
First-order and second-order optimality conditions for nonsmooth constrained problems via convolution smoothing. (English) Zbl 1216.49019
A multi-step curve search algorithm in nonlinear optimization: nondifferentiable convex case. (English) Zbl 1289.65146
On mixed type duality for nondifferentiable multiobjective variational problems. (English) Zbl 1216.90085
On interval-subgradient and no-good cuts. (English) Zbl 1202.90238
MSC:
90C30
A probabilistic method for solving minimax problems with general constraints. (English) Zbl 1196.49017
An algorithm for solving nondifferentiable programming on circumscribed rectangular parallelepiped of subdifferentiable. (Chinese. English summary) Zbl 1212.90366
A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an \(\ell_\infty\) penalty function. (English) Zbl 1187.65065
Reviewer: Nada Djuranović-Miličić (Belgrade)
A method for nonsmooth unconstrained minimization problems. (English) Zbl 1185.65098
Reviewer: Nada Djuranović-Miličić (Belgrade)
Nondifferentiable multiplier rules for optimization problems with equilibrium constraints. (English) Zbl 1229.90142
Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)
Fréchet approach to generalized second-order differentiability. (English) Zbl 1199.49060
Reviewer: Stefan Mirică (Bucharest)
Higher order symmetric multiobjective duality involving generalized \((F, \rho, \gamma, b)\)-convexity. (English) Zbl 1174.90012
Reviewer: Daniela Marinescu (Braşov)
Second-order duality for nondifferentiable multiobjective programming problems. (English) Zbl 1133.90391
Globally convergent limited memory bundle method for large-scale nonsmooth optimization. (English) Zbl 1278.90451
Convergence and computational analyses for some variable target value and subgradient deflection methods. (English) Zbl 1153.90574
Nonlinear optimization. (English) Zbl 1108.90001
Princeton, NJ: Princeton University Press (ISBN 0-691-11915-5/hbk). xii, 448 p. (2006).
Reviewer: Stephan Dempe (Freiberg)
Minimal fractions of compact convex sets. (English) Zbl 1093.49012
Giannessi, Franco (ed.) et al., Variational analysis and applications. Proceedings of the 38th conference of the School of Mathematics “G. Stampacchia” in memory of G. Stampacchia and J.-L. Lions, Erice, Italy, June 20–July 1, 2003. New York, NY: Springer (ISBN 0-387-24209-0/hbk; 0-387-24276-7/e-book ). Nonconvex Optimization and its Applications 79, 791-811 (2005).
On inclusion and summands of bounded closed convex sets. (English) Zbl 1084.52001
Reviewer: Mircea Balaj (Oradea)
Nondifferentiable multiplier rules for optimization and bilevel optimization problems. (English) Zbl 1077.90077
Interval algorithms for finding the minimal root in a set of multiextremal one-dimensional nondifferentiable functions. (English) Zbl 1014.65054
On the rate of convergence of sequential quadratic programming with nondifferentiable exact penalty function in the presence of constraint degeneracy. (English) Zbl 1009.90110
Reviewer: N.Djuranović-Miličić (Beograd)
Adaptive random search in quasi-Monte Carlo methods for global optimization. (English) Zbl 0999.65054
Convergence of a block coordinate descent method for nondifferentiable minimization. (English) Zbl 1006.65062
Reviewer: Berwin A.Turlach (Crawley)
Convergence and efficiency of subgradient methods for quasiconvex minimization. (English) Zbl 0986.90034
Reviewer: Klaus Schittkowski (Bayreuth)
Minimal pairs of compact convex sets, with application to quasidifferential calculus. (English) Zbl 0997.49014
Demyanov, V. (ed.) et al., Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 43, 173-213 (2000).
Reviewer: Armin Hoffmann (Ilmenau)
A bundle algorithm applied to bilevel programming problems with non-unique lower level solutions. (English) Zbl 0947.90110
The fixed point algorithm based maximum entropy for nondifferentiable optimization. (Chinese. English summary) Zbl 1008.65040
A method of projection onto an acute cone with level control in convex minimization. (English) Zbl 0973.90057
Global optimization of non-differentiable functions by using interval slopes. (Globale Optimierung nichtdifferenzierbarer Funktionen unter Einsatz von Intervallsteigungen.) (German) Zbl 0933.65070
Penalty and augmented Lagrangian in general optimization problems. (English) Zbl 1028.90062
Butzer, P. L. (ed.) et al., Karl der Große und sein Nachwirken. 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen. Turnhout: Brepols. 423-437 (1998).
Properties of \(b\)-vex fuzzy mappings and applications to fuzzy optimization. (English) Zbl 0919.90145
On the minimization of nondifferentiable programmable functions. (Zur Minimierung nichtdifferenzierbarer programmierbarer Funktionen.) (German) Zbl 0917.90277
Düsseldorf: Univ. Düsseldorf, Mathematisch-Naturwissenschaftliche Fakultät, ix, 116 S. (1998).
Protoconvex functions. (English) Zbl 0912.90257
The relation between maximum entropy method and exponential penalty function. (Chinese. English summary) Zbl 0915.90233
MSC:
90C30
Cost approximation: A unified framework of descent algorithms for nonlinear programs. (English) Zbl 0912.90261
Subgradient method with entropic projections for convex nondifferentiable minimization. (English) Zbl 0897.90176
On a family of pairwise convex sets. (English) Zbl 0929.52001
Reviewer: V.Anisiu (Cluj-Napoca)
Decompositions of compact convex sets. (English) Zbl 0899.52002
Reviewer: Juan-E.Martínez-Legaz (Barcelona)
Characterizations of strict local minima for some nonlinear programming problems. (English) Zbl 0914.90243
MSC:
90C30
Optimal study/advertising plan for a knowledge/goodwill evolution process with rank memory. (English) Zbl 0893.90112
A subgradient method for contact structural optimization. (English) Zbl 0886.90182
Ferris, Michael C. (ed.) et al., Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1–4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 295-314 (1997).
Solving nonlinear multicommodity flow problems by the analytic center cutting plane method. (English) Zbl 0881.90050
A comparative study of smoothing approximations. (English) Zbl 0870.90093
Reviewer: B.D.Craven (Parkville)
MSC:
90C30
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