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90C30 Nonlinear programming (114 articles)

• Zimmermann, Karel: Combination of t-norms and their conorms. (English). Kybernetika, vol. 59 (2023), issue 4, pp. 527-536
• Ali, Rashid; Pan, Kejia: The new iteration methods for solving absolute value equations. (English). Applications of Mathematics, vol. 68 (2023), issue 1, pp. 109-122
• Kamandi, Ahmad; Amini, Keyvan: A new nonmonotone adaptive trust region algorithm. (English). Applications of Mathematics, vol. 67 (2022), issue 2, pp. 233-250
• Jayswal, Anurag; Baranwal, Ayushi: Relations between multidimensional interval-valued variational problems and variational inequalities. (English). Kybernetika, vol. 58 (2022), issue 4, pp. 564-577
• Tang, Jingyong; Chen, Yuefen: Smoothing functions and algorithm for nonsymmetric circular cone complementarity problems. (English). Applications of Mathematics, vol. 67 (2022), issue 2, pp. 209-231
• Ševčík, Jakub; Adam, Lukáš; Přikryl, Jan; Šmídl, Václav: Solvability of the power flow problem in DC overhead wire circuit modeling. (English). Applications of Mathematics, vol. 66 (2021), issue 6, pp. 837-855
• Zimmermann, Karel: Optimization problem under two-sided (max, +)/(min, +) inequality constraints. (English). Applications of Mathematics, vol. 65 (2020), issue 6, pp. 777-783
• Xue, Yanqin; Liu, Hongwei; Liu, Zexian: An improved nonmonotone adaptive trust region method. (English). Applications of Mathematics, vol. 64 (2019), issue 3, pp. 335-350
• Solaymani Fard, Omid; Sarani, Farhad; Hashemi Borzabadi, Akbar; Nosratipour, Hadi: A nonmonotone line search for the LBFGS method in parabolic optimal control problems. (English). Kybernetika, vol. 55 (2019), issue 1, pp. 183-202
• Kůdela, Jakub; Popela, Pavel: Chance constrained optimal beam design: Convex reformulation and probabilistic robust design. (English). Kybernetika, vol. 54 (2018), issue 6, pp. 1201-1217
• Aaid, Djamel; Noui, Amel; Ouanes, Mohand: New technique for solving univariate global optimization. (English). Archivum Mathematicum, vol. 53 (2017), issue 1, pp. 19-33
• Rajmic, Pavel; Novosadová, Michaela; Daňková, Marie: Piecewise-polynomial signal segmentation using convex optimization. (English). Kybernetika, vol. 53 (2017), issue 6, pp. 1131-1149
• Kimiaei, Morteza; Rostami, Majid: Impulse noise removal based on new hybrid conjugate gradient approach. (English). Kybernetika, vol. 52 (2016), issue 5, pp. 791-823
• Jayswal, Anurag; Jha, Shalini; Choudhury, Sarita: Saddle point criteria for second order $\eta $-approximated vector optimization problems. (English). Kybernetika, vol. 52 (2016), issue 3, pp. 359-378
• Tang, Jingyong; Dong, Li; Fang, Liang; Sun, Li: Analysis of a non-monotone smoothing-type algorithm for the second-order cone programming. (English). Applications of Mathematics, vol. 60 (2015), issue 1, pp. 35-49
• Dvorská, Marie; Pastor, Karel: Necessary conditions for vector optimization in infinite dimension. (English). Kybernetika, vol. 51 (2015), issue 6, pp. 1023-1034
• Dang, Yazheng; Gao, Yan: A new simultaneous subgradient projection algorithm for solving a multiple-sets split feasibility problem. (English). Applications of Mathematics, vol. 59 (2014), issue 1, pp. 37-51
• Lukšan, Ladislav; Vlček, Jan: Nonlinear conjugate gradient methods. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 130-135
• Andrášik, Richard: Nonlinear Rescaling Method and Self-concordant Functions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 52 (2013), issue 2, pp. 5-19
• Tang, Jingyong; He, Guoping; Dong, Li; Fang, Liang; Zhou, Jinchuan: A smoothing Newton method for the second-order cone complementarity problem. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 223-247
• Mordukhovich, Boris S.; Outrata, Jiří V.: Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification. (English). Kybernetika, vol. 49 (2013), issue 3, pp. 446-464
• Dvorská, Marie: Vector Optimization Results for $\ell $-Stable Data. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 52 (2013), issue 2, pp. 43-52
• Královcová, Jiřina; Lukšan, Ladislav; Mlýnek, Jaroslav: Heat exposure optimization applied to moulding process in the automotive industry. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 118-123
• Vlček, Jan; Lukšan, Ladislav: Modifications of the limited-memory BFGS method based on the idea of conjugate directions. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 209-214
• Tang, Jingyong; He, Guoping; Dong, Li; Fang, Liang: A new one-step smoothing newton method for second-order cone programming. (English). Applications of Mathematics, vol. 57 (2012), issue 4, pp. 311-331
• Mlýnek, Jaroslav; Srb, Radek: The optimization of heat radiation intensity. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 142-148
• Salač, Petr: Optimization of plunger cavity. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 174-180
• Sun, Li; He, Guoping; Wang, Yongli; Zhou, Changyin: An accurate active set Newton algorithm for large scale bound constrained optimization. (English). Applications of Mathematics, vol. 56 (2011), issue 3, pp. 297-314
• Du, Shou-qiang; Gao, Yan: Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations. (English). Applications of Mathematics, vol. 56 (2011), issue 5, pp. 481-498
• Fang, Liang: A new non-interior continuation method for $P_0$-NCP based on a SSPM-function. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 389-403
• Sun, Li; Fang, Liang; He, Guoping: An active set strategy based on the multiplier function or the gradient. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 291-304
• He, Yaoyao; Zhou, Jianzhong; Lu, Ning; Qin, Hui; Lu, Youlin: Differential evolution algorithm combined with chaotic pattern search. (English). Kybernetika, vol. 46 (2010), issue 4, pp. 684-696
• Ginchev, Ivan; Guerraggio, Angelo; Rocca, Matteo: Locally Lipschitz vector optimization with inequality and equality constraints. (English). Applications of Mathematics, vol. 55 (2010), issue 1, pp. 77-88
• Henrion, René; Outrata, Jiří; Surowiec, Thomas: A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints. (English). Kybernetika, vol. 46 (2010), issue 3, pp. 423-434
• Bütikofer, Stephan; Klatte, Diethard; Kummer, Bernd: On second–order Taylor expansion of critical values. (English). Kybernetika, vol. 46 (2010), issue 3, pp. 472-487
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Robust preconditioners for the matrix free truncated Newton method. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 137-151
• Fang, Liang; He, Guoping; Sun, Li: A globally convergent non-interior point algorithm with full Newton step for second-order cone programming. (English). Applications of Mathematics, vol. 54 (2009), issue 5, pp. 447-464
• Du, Shou-qiang; Gao, Yan: A parametrized Newton method for nonsmooth equations with finitely many maximum functions. (English). Applications of Mathematics, vol. 54 (2009), issue 5, pp. 381-390
• Antczak, Tadeusz: A second order $\eta $-approximation method for constrained optimization problems involving second order invex functions. (English). Applications of Mathematics, vol. 54 (2009), issue 5, pp. 433-445
• Yu, Zhensheng; Li, Qiang: A self-adaptive trust region method for the extended linear complementarity problems. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 53-65
• Vlček, Jan; Lukšan, Ladislav: Limited-memory variable metric methods based on invariant matrices. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 226-232
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: On Lagrange multipliers of trust-region subproblems. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 130-137
• Bao, Truong Q.; Mordukhovich, Boris S.: Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints. (English). Applications of Mathematics, vol. 52 (2007), issue 6, pp. 453-472
• Hoheisel, Tim; Kanzow, Christian: First- and second-order optimality conditions for mathematical programs with vanishing constraints. (English). Applications of Mathematics, vol. 52 (2007), issue 6, pp. 495-514
• Bednařík, Dušan; Pastor, Karel: Second-order sufficient condition for $\tilde\ell$-stable functions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 46 (2007), issue 1, pp. 7-18
• Ginchev, Ivan; Guerraggio, Angelo; Rocca, Matteo: From scalar to vector optimization. (English). Applications of Mathematics, vol. 51 (2006), issue 1, pp. 5-36
• Galewska, E.; Galewski, M.: $r$--convex transformability in nonlinear programming problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 555-565
• Grossmann, Christian; Klatte, Diethard; Kummer, Bernd: Convergence of primal-dual solutions for the nonconvex log-barrier method without LICQ. (English). Kybernetika, vol. 40 (2004), issue 5, pp. [571]-584
• Outrata, Jiří V.: A note on a class of equilibrium problems with equilibrium constraints. (English). Kybernetika, vol. 40 (2004), issue 5, pp. [585]-594
• Knobloch, Matthias: Solving convex program via Lagrangian decomposition. (English). Kybernetika, vol. 40 (2004), issue 5, pp. [595]-610
• Gao, Yan: Newton methods for solving two classes of nonsmooth equations. (English). Applications of Mathematics, vol. 46 (2001), issue 3, pp. 215-229
• Cach, Josef: Solution set in a special case of generalized Nash equilibrium games. (English). Kybernetika, vol. 37 (2001), issue 1, pp. [21]-37
• Stanimirović, Predrag; Rančić, Svetozar: Implementation of penalty function methods in LISP. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 7 (1999), issue 1, pp. 119-141
• Outrata, Jiří V.: Optimality conditions for a class of mathematical programs with equilibrium constraints: strongly regular case. (English). Kybernetika, vol. 35 (1999), issue 2, pp. [177]-193
• Liu, Liping; Křížek, Michal: The second order optimality conditions for nonlinear mathematical programming with $C^{1,1}$ data. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 311-320
• Tharwat, A.; Zimmermann, K.: Some optimization problems on solubility sets of separable Max-Min equations and inequalities. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 38 (1997), issue 2, pp. 45-57
• Lukšan, Ladislav: Combined trust region methods for nonlinear least squares. (English). Kybernetika, vol. 32 (1996), issue 2, pp. 121-138
• Lukšan, Ladislav: Efficient trust region method for nonlinear least squares. (English). Kybernetika, vol. 32 (1996), issue 2, pp. 105-120
• Lukšan, Ladislav; Vlček, Jan: Optimization of dynamical systems. (English). Kybernetika, vol. 32 (1996), issue 5, pp. 465-482
• Lukšan, Ladislav: Computational experience with improved conjugate gradient methods for unconstrained minimization. (English). Kybernetika, vol. 28 (1992), issue 4, pp. 249-262
• Preda, Vasile: On some sufficient optimality conditions in multiobjective differentiable programming. (English). Kybernetika, vol. 28 (1992), issue 4, pp. 263-270
• Chien, Tran Quoc: Semistochastic decomposition scheme in mathematical programming and game theory. (English). Kybernetika, vol. 27 (1991), issue 6, pp. 535-541
• Grygarová, Libuše: About a special class of nonconvex optimization problems. (English). Aplikace matematiky, vol. 35 (1990), issue 2, pp. 147-157
• Lukšan, Ladislav: Computational experience with improved variable metric methods for unconstrained minimization. (English). Kybernetika, vol. 26 (1990), issue 5, pp. 415-431
• Jajou, Amer F.; Zimmermann, Karel: Max-separable equations and the set covering. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 1, pp. 13-21
• Kaňková, Vlasta: Necessary and sufficient optimality conditions for two-stage stochastic programming problems. (English). Kybernetika, vol. 25 (1989), issue 5, pp. 375-385
• Outrata, Jiří V.: On necessary optimality conditions in a class of optimization problems. (English). Aplikace matematiky, vol. 34 (1989), issue 6, pp. 466-474
• Chien, Tran Quoc: Perturbation theory of duality in vector nonconvex optimization via the abstract duality scheme. (English). Kybernetika, vol. 25 (1989), issue 3, pp. 169-174
• Huang, Sheng; Zlobec, Sanjo: New regions of stability in input optimization. (English). Aplikace matematiky, vol. 33 (1988), issue 6, pp. 470-486
• Tůma, Miroslav: A note on direct methods for approximations of sparse Hessian matrices. (English). Aplikace matematiky, vol. 33 (1988), issue 3, pp. 171-176
• Outrata, Jiří V.: A note on the usage of nondifferentiable exact penalties in some special optimization problems. (English). Kybernetika, vol. 24 (1988), issue 4, pp. 251-258
• Spakowski, Andrzej: On approximation of multifunctions with respect to the Vietoris topology. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 29 (1988), issue 2, pp. 75-80
• Hudzovič, Peter: Quasi-Newton gradient method with analytical determination of the direction and length of step. (English). Kybernetika, vol. 24 (1988), issue 5, pp. 378-393
• Lukšan, Ladislav: Conjugate direction algorithms for extended conic functions. (English). Kybernetika, vol. 22 (1986), issue 1, pp. 31-46
• Lukšan, Ladislav: Conjugate gradient algorithms for conic functions. (English). Aplikace matematiky, vol. 31 (1986), issue 6, pp. 427-440
• Roubíček, Tomáš: A generalized solution of a nonconvex minimization problem and its stability. (English). Kybernetika, vol. 22 (1986), issue 4, pp. 289-298
• Náther, Ondrej: On generalized semicontinuity-preserving multifunctions. (English). Mathematica Slovaca, vol. 36 (1986), issue 4, pp. 407-416
• Lukšan, Ladislav: A compact variable metric algorithm for linearly constrained nonlinear minimax approximation. (English). Kybernetika, vol. 21 (1985), issue 6, pp. 405-427
• Muu, Lê Dung: A convergent algorithm for solving linear programs with an additional reverse convex constraint. (English). Kybernetika, vol. 21 (1985), issue 6, pp. 428-435
• Lukšan, Ladislav: An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation. (English). Kybernetika, vol. 21 (1985), issue 1, pp. 22-40
• Masarik, Jozef: A thermodynamically motivated optimization algorithm: Circular wheel balance optimization. (English). Aplikace matematiky, vol. 30 (1985), issue 6, pp. 413-424
• Lukšan, Ladislav: Variable metric methods for a class of extended conic functions. (English). Kybernetika, vol. 21 (1985), issue 2, pp. 96-107
• Palata, Jan: About the relation between some optimality conditions. (English). Aplikace matematiky, vol. 29 (1984), issue 3, pp. 189-193
• Chien, Tran Quoc: Duality in vector optimization. I. Abstract duality scheme. (English). Kybernetika, vol. 20 (1984), issue 4, pp. 304-313
• Doležal, Jaroslav: Mathematical programming problems involving continuum of inequality constraints. (English). Kybernetika, vol. 18 (1982), issue 1, pp. 31-36
• Rohn, Jiří: Productivity of activities in the optimal allocation of one resource. (English). Aplikace matematiky, vol. 27 (1982), issue 2, pp. 146-149
• Lukšan, Ladislav: Quasi-Newton methods without projections for linearly constrained minimization. (English). Kybernetika, vol. 18 (1982), issue 4, pp. 307-319
• Lukšan, Ladislav: Quasi-Newton methods without projections for unconstrained minimization. (English). Kybernetika, vol. 18 (1982), issue 4, pp. 290-306
• Ozawa, Masanori; Yanai, Hiroshi: Some notes on the quasi-Newton methods. (English). Aplikace matematiky, vol. 27 (1982), issue 6, pp. 433-445
• Lukšan, Ladislav: Variable metric method with limited storage for large-scale unconstrained minimization. (English). Kybernetika, vol. 18 (1982), issue 6, pp. 517-528
• Doležal, Jaroslav: Necessary conditions for discrete dynamical systems with delays and general constraints. (English). Kybernetika, vol. 17 (1981), issue 5, pp. 425-434
• Doležal, Jaroslav: A note on necessary conditions in mathematical programming. (English). Kybernetika, vol. 17 (1981), issue 6, pp. 555-560
• Doležal, Jaroslav; Mohler, Ronald R.: On discrete control problems having a minmax type objective functional. (English). Kybernetika, vol. 17 (1981), issue 6, pp. 549-554
• Kazakevich, Vil'yam V.; Mochalov, Ivan A.: Последовательные алгоритмы оптимизации. (Russian) [Sequential optimization algorithms]. Kybernetika, vol. 17 (1981), issue 2, pp. 140-146
• Grygarová, Libuše: Asymptotische Berührung $k$-ter Ordnung konvexer Mengen. (German) [Asymptotic contact of the $k$-th order of convex sets]. Aplikace matematiky, vol. 25 (1980), issue 3, pp. 209-220
• Grygarová, Libuše: Zur asymptotischen Berührung von konvexen Mengen. (German) [On asymptotic contact of convex sets]. Aplikace matematiky, vol. 25 (1980), issue 3, pp. 221-228
• Palata, Jan: First-order necessary condition for the existence of optimal point in nonlinear programming problem. (English). Aplikace matematiky, vol. 25 (1980), issue 4, pp. 257-266
• Petzeltová, Hana: Remark on a Newton-Moser type method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 719-725
• Donath, Gerhard; Elster, Karl-Heinz: Zur Konvergenz des Verfahrens der Koordinatenweisensuche. (German) [On convergence of the coordinate search method]. Aplikace matematiky, vol. 23 (1978), issue 3, pp. 161-173
• Grygarová, Libuše: Über Punktberührung von konvexen Mengen. (German) [On a point contact of convex sets]. Aplikace matematiky, vol. 23 (1978), issue 6, pp. 453-466
• Fritzsch, Klaus: On the acceleration of adaptation processes by two-step principles. (English). Kybernetika, vol. 13 (1977), issue 4, pp. (274)-281
• Tammer, Klaus: Notwendige und hinreichende Bedingungen für (strenge) Konvexität, Pseudokonvexität und (strenge) Quasikonvexität einer quadratischen Funktion bezüglich einer konvexen Menge. (German) [Necessary and sufficient conditions for (strict) convexity, pseudoconvexity and (strict) quasiconvexity of a quadratic function with respect to a convex domain]. Aplikace matematiky, vol. 21 (1976), issue 2, pp. 97-110
• Doležal, Jaroslav: Hierarchical solution concept for static and multistage decision problems with two objectives. (English). Kybernetika, vol. 12 (1976), issue 5, pp. (363)-385
• Sloboda, Fridrich: Nonlinear iterative methods and parallel computation. (English). Aplikace matematiky, vol. 21 (1976), issue 4, pp. 252-262
• Tammer, Klaus: Über eine Klasse von verallgemeinerten quadratischen Optimierungsproblemen mit nichtkonvexer Zielfunktion, die auf quasi- bzw. pseudokonvexe Probleme zurückführbar sind. (German) [On a class of generalized quadratic optimization problems with nonconvex objective function that can be reduced to quasi- or pseudoconvex problems]. Aplikace matematiky, vol. 21 (1976), issue 2, pp. 111-119
• Bair, Jacques; Fourneau, René: Une démonstration géométrique du théorème de Choquet-Kendall. (French) [A geometrical proof of Choquet-Kendall theorem]. Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 4, pp. 683-691
• Doležal, Jaroslav: Necessary optimality conditions for discrete systems with state-dependent control region. (English). Kybernetika, vol. 11 (1975), issue 6, pp. (423)-450
• Křížek, Miroslav: On the convergence of modified relaxation methods for extremum problems. (English). Aplikace matematiky, vol. 20 (1975), issue 5, pp. 359-371
• Lommatzsch, Klaus: Ein notwendiges und hinreichendes Optimalitätskriterium für allgemeine quadratische Optimierungsprobleme. (German) [Necessary and sufficient optimality criterion for general quadratic optimization problem]. Aplikace matematiky, vol. 19 (1974), issue 3, pp. 193-197
• Elster, K. H.; Götz, R.; Magerod, J.: Kuhn-Tucker-Theorie für Funktionen mit Richtungsableitungen. (German). Matematický časopis, vol. 24 (1974), issue 1, pp. 85-95
• Lommatzsch, Klaus: Lösungsalgorithmen für quadratische Optimierungsaufgaben mit nicht notwendig konvexer Zielfunktion. (German) [Solution algorithms for quadratic optimization problems with not necessarily convex objective function]. Aplikace matematiky, vol. 19 (1974), issue 3, pp. 203-209
• Šindelář, Jaroslav: The minimum value of $\sum_{n=0}^\infty[n e(n)]^2$ as the quality control criterion. (English). Kybernetika, vol. 10 (1974), issue 6, pp. (509)-515
• Lommatzsch, Klaus: Über die Lage lokaler Minima quadratischer Optimierungsaufgaben. (German) [On the position of local minima of quadratic optimalization problems]. Aplikace matematiky, vol. 19 (1974), issue 3, pp. 198-202
• Žáčková, Jitka: On maximizing a concave function subject to linear constraints by Newton's method. (English). Aplikace matematiky, vol. 13 (1968), issue 4, pp. 339-355