{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T05:57:00Z","timestamp":1776837420177,"version":"3.51.2"},"reference-count":51,"publisher":"American Mathematical Society (AMS)","issue":"345","license":[{"start":{"date-parts":[[2024,5,11]],"date-time":"2024-05-11T00:00:00Z","timestamp":1715385600000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2013\/07375-0"],"award-info":[{"award-number":["2013\/07375-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2018\/24293-0"],"award-info":[{"award-number":["2018\/24293-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2021\/14011-0"],"award-info":[{"award-number":["2021\/14011-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["2013\/07375-0"],"award-info":[{"award-number":["2013\/07375-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["2018\/24293-0"],"award-info":[{"award-number":["2018\/24293-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["2021\/14011-0"],"award-info":[{"award-number":["2021\/14011-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["2013\/07375-0"],"award-info":[{"award-number":["2013\/07375-0"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["2018\/24293-0"],"award-info":[{"award-number":["2018\/24293-0"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["2021\/14011-0"],"award-info":[{"award-number":["2021\/14011-0"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["2013\/07375-0"],"award-info":[{"award-number":["2013\/07375-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["2018\/24293-0"],"award-info":[{"award-number":["2018\/24293-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["2021\/14011-0"],"award-info":[{"award-number":["2021\/14011-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["2013\/07375-0"],"award-info":[{"award-number":["2013\/07375-0"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["2018\/24293-0"],"award-info":[{"award-number":["2018\/24293-0"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["2021\/14011-0"],"award-info":[{"award-number":["2021\/14011-0"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In a recent paper an Inexact Restoration method for solving continuous constrained optimization problems was analyzed from the point of view of worst-case functional complexity and convergence. On the other hand, the Inexact Restoration methodology was employed, in a different research, to handle minimization problems with inexact evaluation and simple constraints. These two methodologies are combined in the present report, for constrained minimization problems in which both the objective function and the constraints, as well as their derivatives, are subject to evaluation errors. Together with a complete description of the method, complexity and convergence results will be proved.<\/p>","DOI":"10.1090\/mcom\/3855","type":"journal-article","created":{"date-parts":[[2023,4,19]],"date-time":"2023-04-19T09:34:16Z","timestamp":1681896856000},"page":"293-326","source":"Crossref","is-referenced-by-count":2,"title":["Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints"],"prefix":"10.1090","volume":"93","author":[{"given":"L.","family":"Bueno","sequence":"first","affiliation":[]},{"given":"F.","family":"Larreal","sequence":"additional","affiliation":[]},{"given":"J.","family":"Mart\u00ednez","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2023,5,11]]},"reference":[{"issue":"3","key":"1","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/s10589-007-9147-4","article-title":"An inexact-restoration method for nonlinear bilevel programming problems","volume":"43","author":"Andreani, R.","year":"2009","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"5","key":"2","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1080\/02331930903578700","article-title":"On sequential optimality conditions for smooth constrained optimization","volume":"60","author":"Andreani, Roberto","year":"2011","journal-title":"Optimization","ISSN":"https:\/\/id.crossref.org\/issn\/0233-1934","issn-type":"print"},{"issue":"3","key":"3","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1287\/moor.2017.0879","article-title":"Strict constraint qualifications and sequential optimality conditions for constrained optimization","volume":"43","author":"Andreani, Roberto","year":"2018","journal-title":"Math. Oper. Res.","ISSN":"https:\/\/id.crossref.org\/issn\/0364-765X","issn-type":"print"},{"key":"4","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1016\/j.cam.2015.04.047","article-title":"Inexact restoration method for nonlinear optimization without derivatives","volume":"290","author":"Aroux\u00e9t, Ma. Bel\u00e9n","year":"2015","journal-title":"J. Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0377-0427","issn-type":"print"},{"key":"5","doi-asserted-by":"crossref","unstructured":"M. T. Ayvaz, A linked simulation-optimization model for simultaneously estimating the Manning\u2019s surface roughness values and their parameter structures in shallow water flows, J. Hydrol. 500 (2013), 183\u2013199.","DOI":"10.1016\/j.jhydrol.2013.07.019"},{"issue":"3","key":"6","doi-asserted-by":"publisher","first-page":"726","DOI":"10.1007\/s10957-012-0140-4","article-title":"Inexact restoration for Euler discretization of box-constrained optimal control problems","volume":"156","author":"Banihashemi, Nahid","year":"2013","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"2","key":"7","doi-asserted-by":"publisher","first-page":"521","DOI":"10.3934\/jimo.2014.10.521","article-title":"Inexact restoration and adaptive mesh refinement for optimal control","volume":"10","author":"Banihashemi, Nahid","year":"2014","journal-title":"J. Ind. Manag. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1547-5816","issn-type":"print"},{"issue":"4","key":"8","doi-asserted-by":"publisher","first-page":"2881","DOI":"10.1137\/18M1226282","article-title":"Adaptive regularization algorithms with inexact evaluations for nonconvex optimization","volume":"29","author":"Bellavia, Stefania","year":"2019","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"key":"9","unstructured":"S. Bellavia, G. Gurioli, B. Morini, and Ph.L. Toint, High-order Evaluation Complexity of a Stochastic Adaptive Regularization Algorithm for Nonconvex Optimization Using Inexact Function Evaluations and Randomly Perturbed Derivatives, Preprint,  arXiv:2005.04639, 2020."},{"issue":"3","key":"10","doi-asserted-by":"publisher","first-page":"701","DOI":"10.1007\/s10589-020-00196-w","article-title":"Inexact restoration with subsampled trust-region methods for finite-sum minimization","volume":"76","author":"Bellavia, Stefania","year":"2020","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"1","key":"11","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/s10589-022-00430-7","article-title":"A stochastic first-order trust-region method with inexact restoration for finite-sum minimization","volume":"84","author":"Bellavia, Stefania","year":"2023","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"2","key":"12","doi-asserted-by":"publisher","first-page":"1352","DOI":"10.1137\/20M1354556","article-title":"Sequential quadratic optimization for nonlinear equality constrained stochastic optimization","volume":"31","author":"Berahas, Albert S.","year":"2021","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"key":"13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cam.2014.12.031","article-title":"Assessing the reliability of general-purpose inexact restoration methods","volume":"282","author":"Birgin, E. G.","year":"2015","journal-title":"J. Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0377-0427","issn-type":"print"},{"issue":"311","key":"14","doi-asserted-by":"publisher","first-page":"1307","DOI":"10.1090\/mcom\/3246","article-title":"On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors","volume":"87","author":"Birgin, E. G.","year":"2018","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"321","key":"15","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1090\/mcom\/3445","article-title":"Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact","volume":"89","author":"Birgin, E. G.","year":"2020","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"key":"16","doi-asserted-by":"publisher","first-page":"Paper No. 114193, 15","DOI":"10.1016\/j.cam.2022.114193","article-title":"Inexact restoration for derivative-free expensive function minimization and applications","volume":"410","author":"Birgin, E. G.","year":"2022","journal-title":"J. Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0377-0427","issn-type":"print"},{"issue":"2","key":"17","first-page":"55","article-title":"Constrained optimization with integer and continuous variables using inexact restoration and projected gradients","volume":"4","author":"Birgin, Ernesto G.","year":"2016","journal-title":"Bull. Comput. Appl. Math."},{"issue":"2","key":"18","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s10957-005-6537-6","article-title":"Local convergence of an inexact-restoration method and numerical experiments","volume":"127","author":"Birgin, E. G.","year":"2005","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"2","key":"19","doi-asserted-by":"publisher","first-page":"1189","DOI":"10.1137\/110856253","article-title":"Inexact restoration method for derivative-free optimization with smooth constraints","volume":"23","author":"Bueno, L. F.","year":"2013","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"issue":"1","key":"20","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1007\/s10957-014-0572-0","article-title":"A flexible inexact-restoration method for constrained optimization","volume":"165","author":"Bueno, L. F.","year":"2015","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"6","key":"21","doi-asserted-by":"publisher","first-page":"1315","DOI":"10.1007\/s11590-015-0928-x","article-title":"An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization","volume":"10","author":"Bueno, L. F.","year":"2016","journal-title":"Optim. Lett.","ISSN":"https:\/\/id.crossref.org\/issn\/1862-4472","issn-type":"print"},{"issue":"1","key":"22","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1137\/18M1216146","article-title":"On the complexity of an inexact restoration method for constrained optimization","volume":"30","author":"Bueno, Lu\u00eds Felipe","year":"2020","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"key":"23","unstructured":"F. E. Curtis, M. J. O\u2019Neill, and D. P. Robinson, Worst-case complexity of an SQP method for nonlinear equality constrained optimization, COR@L Technical Report 21T-015, Lehigh University, January 6, 2022."},{"key":"24","unstructured":"F. E. Curtis, D. P. Robinson, and B. Zhou, Inexact sequential quadratic optimization for minimizing a stochastic objective function subject to deterministic nonlinear equality constraints, COR@L Technical Report 22T-01, Lehigh University, July 9, 2021."},{"issue":"1","key":"25","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1007\/s40314-015-0253-0","article-title":"An inexact restoration derivative-free filter method for nonlinear programming","volume":"36","author":"Echebest, N.","year":"2017","journal-title":"Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/2238-3603","issn-type":"print"},{"issue":"2","key":"26","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1080\/02331934.2016.1263629","article-title":"Global convergence of a derivative-free inexact restoration filter algorithm for nonlinear programming","volume":"66","author":"Ferreira, P. S.","year":"2017","journal-title":"Optimization","ISSN":"https:\/\/id.crossref.org\/issn\/0233-1934","issn-type":"print"},{"issue":"2","key":"27","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1007\/s10589-009-9267-0","article-title":"A new line search inexact restoration approach for nonlinear programming","volume":"46","author":"Fischer, Andreas","year":"2010","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"3","key":"28","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1007\/s10589-019-00129-2","article-title":"Non-monotone inexact restoration method for nonlinear programming","volume":"76","author":"Francisco, Juliano B.","year":"2020","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"4","key":"29","doi-asserted-by":"publisher","first-page":"1651","DOI":"10.1007\/s11075-020-00948-z","article-title":"Nonmonotone inexact restoration approach for minimization with orthogonality constraints","volume":"86","author":"Francisco, Juliano B.","year":"2021","journal-title":"Numer. Algorithms","ISSN":"https:\/\/id.crossref.org\/issn\/1017-1398","issn-type":"print"},{"issue":"3","key":"30","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1007\/s10589-010-9318-6","article-title":"Inexact restoration method for minimization problems arising in electronic structure calculations","volume":"50","author":"Francisco, Juliano B.","year":"2011","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"3","key":"31","doi-asserted-by":"publisher","first-page":"1628","DOI":"10.1137\/070707828","article-title":"Spectral projected gradient method with inexact restoration for minimization with nonconvex constraints","volume":"31","author":"Gomes-Ruggiero, M. A.","year":"2009","journal-title":"SIAM J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/1064-8275","issn-type":"print"},{"issue":"3","key":"32","doi-asserted-by":"publisher","first-page":"646","DOI":"10.1137\/S1052623401399320","article-title":"A globally convergent filter method for nonlinear programming","volume":"14","author":"Gonzaga, Cl\u00f3vis C.","year":"2003","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"issue":"1","key":"33","doi-asserted-by":"publisher","first-page":"Paper No. e2337, 20","DOI":"10.1002\/nla.2337","article-title":"Minimizing convex quadratics with variable precision conjugate gradients","volume":"28","author":"Gratton, Serge","year":"2021","journal-title":"Numer. Linear Algebra Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/1070-5325","issn-type":"print"},{"issue":"1-2","key":"34","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10107-020-01466-5","article-title":"An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity","volume":"187","author":"Gratton, S.","year":"2021","journal-title":"Math. Program.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5610","issn-type":"print"},{"issue":"3","key":"35","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1007\/s10589-020-00190-2","article-title":"A note on solving nonlinear optimization problems in variable precision","volume":"76","author":"Gratton, S.","year":"2020","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"3","key":"36","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1007\/s10589-007-9162-5","article-title":"Numerical comparison of merit function with filter criterion in inexact restoration algorithms using hard-spheres problems","volume":"44","author":"Karas, Elizabeth W.","year":"2009","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"4","key":"37","doi-asserted-by":"publisher","first-page":"1492","DOI":"10.1137\/090766668","article-title":"Inexact restoration for Runge-Kutta discretization of optimal control problems","volume":"48","author":"Kaya, C. Yal\u00e7in","year":"2010","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"},{"issue":"2","key":"38","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/s10957-007-9217-x","article-title":"Euler discretization and inexact restoration for optimal control","volume":"134","author":"Kaya, C. Y.","year":"2007","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"6","key":"39","doi-asserted-by":"publisher","first-page":"A3011--A3029","DOI":"10.1137\/140955665","article-title":"Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty","volume":"36","author":"Kouri, D. P.","year":"2014","journal-title":"SIAM J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/1064-8275","issn-type":"print"},{"issue":"300","key":"40","doi-asserted-by":"publisher","first-page":"1775","DOI":"10.1090\/mcom\/3025","article-title":"Inexact restoration approach for minimization with inexact evaluation of the objective function","volume":"85","author":"Kreji\u0107, Nata\u0161a","year":"2016","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"key":"41","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717839","volume-title":"Finite difference methods for ordinary and partial differential equations","author":"LeVeque, Randall J.","year":"2007","ISBN":"https:\/\/id.crossref.org\/isbn\/9780898716290"},{"issue":"1","key":"42","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1023\/A:1017567113614","article-title":"Inexact-restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming","volume":"111","author":"Martinez, J. M.","year":"2001","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"1","key":"43","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1023\/A:1004632923654","article-title":"Inexact-restoration algorithm for constrained optimization","volume":"104","author":"Mart\u00ednez, J. M.","year":"2000","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"key":"44","isbn-type":"print","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1007\/0-387-24255-4_12","article-title":"Inexact restoration methods for nonlinear programming: advances and perspectives","author":"Mart\u00ednez, Jos\u00e9 Mario","year":"2005","ISBN":"https:\/\/id.crossref.org\/isbn\/0387242546"},{"key":"45","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/BF00927947","article-title":"Sequential gradient-restoration algorithm for the minimization of constrained functions\u2014ordinary and conjugate gradient versions","volume":"4","author":"Miele, A.","year":"1969","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"key":"46","unstructured":"J. L. Pican\u00e7o, J. M. Mart\u00ednez, C. Pfeiffer, and J. F. Meyer (eds.), Conflitos, Riscos e Impactos Associados a Barragens, CRIAB Publication, Institute of Advanced Studies of University of Campinas, 2023."},{"key":"47","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1137\/0109044","article-title":"The gradient projection method for nonlinear programming. II. Nonlinear constraints","volume":"9","author":"Rosen, J. B.","year":"1961","journal-title":"J. Soc. Indust. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0368-4245","issn-type":"print"},{"key":"48","unstructured":"A. J. C. Saint-Venant, Th\u00e9orie du mouvement non-permanent des eaux, avec application aux crues des rivi\u00e8re at \u00e0 l\u2019introduction des mar\u00e9es dans leur lit, C. R. S\u00e9ances Acad. Sci. 73 (1871), 147\u2013154."},{"issue":"4","key":"49","doi-asserted-by":"publisher","first-page":"A2302--A2321","DOI":"10.1137\/21M1452470","article-title":"Adaptive finite-difference interval estimation for noisy derivative-free optimization","volume":"44","author":"Shi, Hao-Jun Michael","year":"2022","journal-title":"SIAM J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/1064-8275","issn-type":"print"},{"issue":"1","key":"50","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1007\/s11750-008-0038-3","article-title":"A filter inexact-restoration method for nonlinear programming","volume":"16","author":"Silva, C\u00e2ndida Elisa P.","year":"2008","journal-title":"TOP","ISSN":"https:\/\/id.crossref.org\/issn\/1134-5764","issn-type":"print"},{"issue":"3","key":"51","doi-asserted-by":"publisher","first-page":"Paper No. 204, 19","DOI":"10.1007\/s40314-020-01189-5","article-title":"The demand adjustment problem via inexact restoration method","volume":"39","author":"Walpen, Jorgelina","year":"2020","journal-title":"Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/2238-3603","issn-type":"print"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.ams.org\/mcom\/2024-93-345\/S0025-5718-2023-03855-8\/mcom3855_AM.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/www.ams.org\/mcom\/2024-93-345\/S0025-5718-2023-03855-8\/S0025-5718-2023-03855-8.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T05:09:32Z","timestamp":1776834572000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2024-93-345\/S0025-5718-2023-03855-8\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,11]]},"references-count":51,"journal-issue":{"issue":"345","published-print":{"date-parts":[[2024,1]]}},"alternative-id":["S0025-5718-2023-03855-8"],"URL":"https:\/\/doi.org\/10.1090\/mcom\/3855","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[2023,5,11]]}}}