Guigues, Vincent; Shapiro, Alexander; Cheng, Yi Duality and sensitivity analysis of multistage linear stochastic programs. (English) Zbl 07709202 Eur. J. Oper. Res. 308, No. 2, 752-767 (2023). MSC: 90C15 90C90 PDFBibTeX XMLCite \textit{V. Guigues} et al., Eur. J. Oper. Res. 308, No. 2, 752--767 (2023; Zbl 07709202) Full Text: DOI arXiv
Pichler, Alois; Shapiro, Alexander Mathematical foundations of distributionally robust multistage optimization. (English) Zbl 1481.90242 SIAM J. Optim. 31, No. 4, 3044-3067 (2021). MSC: 90C17 60B05 62P05 90C31 90C08 PDFBibTeX XMLCite \textit{A. Pichler} and \textit{A. Shapiro}, SIAM J. Optim. 31, No. 4, 3044--3067 (2021; Zbl 1481.90242) Full Text: DOI arXiv
Shapiro, Alexander Sensitivity analysis of parameterized variational inequalities. (English) Zbl 1082.49015 Math. Oper. Res. 30, No. 1, 109-126 (2005). MSC: 49J40 49J52 90C31 90C33 PDFBibTeX XMLCite \textit{A. Shapiro}, Math. Oper. Res. 30, No. 1, 109--126 (2005; Zbl 1082.49015) Full Text: DOI
Shapiro, Alexander; Sun, Jie Some properties of the augmented Lagrangian in cone constrained optimization. (English) Zbl 1082.90109 Math. Oper. Res. 29, No. 3, 479-491 (2004). MSC: 90C30 90C31 90C46 PDFBibTeX XMLCite \textit{A. Shapiro} and \textit{J. Sun}, Math. Oper. Res. 29, No. 3, 479--491 (2004; Zbl 1082.90109) Full Text: DOI Link
Shapiro, Alexander On a class of nonsmooth composite functions. (English) Zbl 1082.90117 Math. Oper. Res. 28, No. 4, 677-692 (2003). MSC: 90C31 90C46 PDFBibTeX XMLCite \textit{A. Shapiro}, Math. Oper. Res. 28, No. 4, 677--692 (2003; Zbl 1082.90117) Full Text: DOI Link
Bonnans, J. Frédéric; Shapiro, Alexander Perturbation analysis of optimization problems. (English) Zbl 0966.49001 Springer Series in Operations Research. New York, NY: Springer. xviii, 601 p. (2000). Reviewer: Zsolt Páles (Debrecen) MSC: 49-02 49K40 PDFBibTeX XMLCite \textit{J. F. Bonnans} and \textit{A. Shapiro}, Perturbation analysis of optimization problems. New York, NY: Springer (2000; Zbl 0966.49001)
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander Sensitivity analysis of optimization problems under second order regular constraints. (English) Zbl 0977.90053 Math. Oper. Res. 23, No. 4, 806-831 (1998). MSC: 90C31 PDFBibTeX XMLCite \textit{J. F. Bonnans} et al., Math. Oper. Res. 23, No. 4, 806--831 (1998; Zbl 0977.90053) Full Text: DOI Link
Bonnans, J. Frédéric; Shapiro, Alexander Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. (English) Zbl 0912.90266 SIAM J. Optim. 8, No. 4, 940-946 (1998). MSC: 90C31 90C30 PDFBibTeX XMLCite \textit{J. F. Bonnans} and \textit{A. Shapiro}, SIAM J. Optim. 8, No. 4, 940--946 (1998; Zbl 0912.90266) Full Text: DOI
Bonnans, J. Frédéric; Shapiro, Alexander Optimization problems with perturbations: A guided tour. (English) Zbl 0915.49021 SIAM Rev. 40, No. 2, 228-264 (1998). Reviewer: H.Benker (Merseburg) MSC: 49K27 49K40 90C31 65K05 90C48 49J52 PDFBibTeX XMLCite \textit{J. F. Bonnans} and \textit{A. Shapiro}, SIAM Rev. 40, No. 2, 228--264 (1998; Zbl 0915.49021) Full Text: DOI
Shapiro, Alexander First and second order optimality conditions and perturbation analysis of semi-infinite programming problems. (English) Zbl 0909.90259 Reemtsen, Rembert (ed.) et al., Semi-infinite programming. Workshop, Cottbus, Germany, September 1996. Boston: Kluwer Academic Publishers. Nonconvex Optim. Appl. 25, 103-133 (1998). MSC: 90C34 90C31 PDFBibTeX XMLCite \textit{A. Shapiro}, Nonconvex Optim. Appl. 25, 103--133 (1998; Zbl 0909.90259)
Shapiro, Alexander First and second order analysis of nonlinear semidefinite programs. (English) Zbl 0888.90127 Math. Program. 77, No. 2 (B), 301-320 (1997). MSC: 90C25 90C31 PDFBibTeX XMLCite \textit{A. Shapiro}, Math. Program. 77, No. 2 (B), 301--320 (1997; Zbl 0888.90127)
Shapiro, Alexander A variational principle and its applications. (English) Zbl 0909.90251 Guddat, Jürgen (ed.) et al., Parametric optimization and related topics IV. Proceedings of the 4th international conference, Enschede (NL), June 6–9, 1995. Bern: Peter Lang. Approximation Optimization. 9, 341-357 (1997). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 90C31 49J30 49K40 PDFBibTeX XMLCite \textit{A. Shapiro}, in: Parametric optimization and related topics IV. Proceedings of the 4th international conference, Enschede (NL), June 6--9, 1995. Bern: Peter Lang. 341--357 (1997; Zbl 0909.90251)
Shapiro, Alexander; Fan, Michael K. H. On eigenvalue optimization. (English) Zbl 0838.90115 SIAM J. Optim. 5, No. 3, 552-569 (1995). MSC: 90C30 90C31 90C34 PDFBibTeX XMLCite \textit{A. Shapiro} and \textit{M. K. H. Fan}, SIAM J. Optim. 5, No. 3, 552--569 (1995; Zbl 0838.90115) Full Text: DOI Link
Rubinstein, Reuven Y.; Shapiro, Alexander Discrete event systems. Sensitivity analysis and stochastic optimization by the score function method. (English) Zbl 0805.93002 Chichester: John Wiley & Sons. xv, 334 p. (1993). Reviewer: V.Schmidt (Ulm) MSC: 93A10 93-02 93A30 90-02 93B11 90B99 PDFBibTeX XMLCite \textit{R. Y. Rubinstein} and \textit{A. Shapiro}, Discrete event systems. Sensitivity analysis and stochastic optimization by the score function method. Chichester: John Wiley \& Sons (1993; Zbl 0805.93002)
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander Expansion of exact and approximate solutions in nonlinear programming. (Développement de solutions exactes et approchées en programmation non linéaire.) (French. English summary) Zbl 0777.90068 C. R. Acad. Sci., Paris, Sér. I 315, No. 2, 119-123 (1992). MSC: 90C31 49J52 PDFBibTeX XMLCite \textit{J. F. Bonnans} et al., C. R. Acad. Sci., Paris, Sér. I 315, No. 2, 119--123 (1992; Zbl 0777.90068)
Shapiro, A.; Bonnans, J. F. Sensitivity analysis of parametrized programs under cone constraints. (English) Zbl 0766.90076 SIAM J. Control Optimization 30, No. 6, 1409-1422 (1992). Reviewer: E.Tamm (Tallinn) MSC: 90C31 90C30 PDFBibTeX XMLCite \textit{A. Shapiro} and \textit{J. F. Bonnans}, SIAM J. Control Optim. 30, No. 6, 1409--1422 (1992; Zbl 0766.90076) Full Text: DOI Link
Shapiro, Alexander Perturbation analysis of optimization problems in Banach spaces. (English) Zbl 0763.49009 Numer. Funct. Anal. Optimization 13, No. 1-2, 97-116 (1992). Reviewer: Zs.Páles (Debrecen) MSC: 49K40 90C31 90C48 PDFBibTeX XMLCite \textit{A. Shapiro}, Numer. Funct. Anal. Optim. 13, No. 1--2, 97--116 (1992; Zbl 0763.49009) Full Text: DOI
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander Expansion of exact and approximate solutions in nonlinear programming. (English) Zbl 0769.90070 Advances in optimization, Proc. 6th Fr.-Ger. Colloq., Lambrecht/Ger. 1991, Lect. Notes Econ. Math. Syst. 382, 103-117 (1992). Reviewer: V.Veliov (Sofia) MSC: 90C30 90C31 PDFBibTeX XMLCite \textit{J. F. Bonnans} et al., Lect. Notes Econ. Math. Syst. 382, 103--117 (1992; Zbl 0769.90070)
Shapiro, Alexander On differential stability in stochastic programming. (English) Zbl 0705.90063 Math. Program., Ser. A 47, No. 1, 107-116 (1990). Reviewer: J.Dupačova MSC: 90C15 90C31 62E20 49J50 PDFBibTeX XMLCite \textit{A. Shapiro}, Math. Program. 47, No. 1 (A), 107--116 (1990; Zbl 0705.90063) Full Text: DOI
Shapiro, Alexander Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton. (English) Zbl 0654.90083 Appl. Math. Optimization 18, No. 3, 215-229 (1988). Reviewer: L.Grygarova MSC: 90C31 49M37 90C30 PDFBibTeX XMLCite \textit{A. Shapiro}, Appl. Math. Optim. 18, No. 3, 215--229 (1988; Zbl 0654.90083) Full Text: DOI
Shapiro, Alexander Sensitivity analysis of nonlinear programs and differentiability properties of metric projections. (English) Zbl 0647.90089 SIAM J. Control Optimization 26, No. 3, 628-645 (1988). Reviewer: J.F.Bonnans MSC: 90C31 90C30 65K05 PDFBibTeX XMLCite \textit{A. Shapiro}, SIAM J. Control Optim. 26, No. 3, 628--645 (1988; Zbl 0647.90089) Full Text: DOI
Shapiro, Alexander Directional differentiability of metric projections onto moving sets at boundary points. (English) Zbl 0644.49015 J. Math. Anal. Appl. 131, No. 2, 392-403 (1988). Reviewer: P.Loewen MSC: 49J52 26E25 46G05 54C60 90C31 90C30 PDFBibTeX XMLCite \textit{A. Shapiro}, J. Math. Anal. Appl. 131, No. 2, 392--403 (1988; Zbl 0644.49015) Full Text: DOI