{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:00:12Z","timestamp":1776841212059,"version":"3.51.2"},"reference-count":54,"publisher":"American Mathematical Society (AMS)","issue":"359","license":[{"start":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T00:00:00Z","timestamp":1778889600000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/100014717","name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12425115"],"award-info":[{"award-number":["12425115"]}],"id":[{"id":"10.13039\/100014717","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>This paper proposes an extra gradient Anderson-accelerated algorithm for solving pseudomonotone variational inequalities, which uses the extra gradient scheme with line search to guarantee the global convergence and Anderson acceleration to have fast convergent rate. We prove that the sequence generated by the proposed algorithm from any initial point converges to a solution of the pseudomonotone variational inequality problem without assuming the Lipschitz continuity and contractive condition, which are used for convergence analysis of the extra gradient method and Anderson-accelerated method, respectively in existing literatures. Numerical experiments, particular emphasis on Harker-Pang problems, fractional programming problems, nonlinear complementarity problems, partial differential equation problems with free boundary and linear complementarity problems, are conducted to validate the effectiveness and good performance of the proposed algorithm comparing with the extra gradient method and Anderson-accelerated method.<\/p>","DOI":"10.1090\/mcom\/4095","type":"journal-article","created":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T10:52:16Z","timestamp":1747392736000},"page":"1361-1387","source":"Crossref","is-referenced-by-count":1,"title":["An extra gradient Anderson-accelerated algorithm for pseudomonotone variational inequalities"],"prefix":"10.1090","volume":"95","author":[{"given":"Xin","family":"Qu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Bian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaojun","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2025,5,16]]},"reference":[{"key":"1","first-page":"Paper No. [172], 33","article-title":"Beyond the golden ratio for variational inequality algorithms","volume":"24","author":"Alacaoglu, Ahmet","year":"2023","journal-title":"J. Mach. Learn. Res.","ISSN":"https:\/\/id.crossref.org\/issn\/1532-4435","issn-type":"print"},{"issue":"2","key":"2","first-page":"103","article-title":"An iterative algorithm for the variational inequality problem","volume":"13","author":"Iusem, Alfredo N.","year":"1994","journal-title":"Mat. Apl. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/0101-8205","issn-type":"print"},{"key":"3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jcp.2017.06.031","article-title":"Anderson acceleration and application to the three-temperature energy equations","volume":"347","author":"An, Hengbin","year":"2017","journal-title":"J. Comput. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0021-9991","issn-type":"print"},{"key":"4","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1145\/321296.321305","article-title":"Iterative procedures for nonlinear integral equations","volume":"12","author":"Anderson, Donald G.","year":"1965","journal-title":"J. Assoc. Comput. Mach.","ISSN":"https:\/\/id.crossref.org\/issn\/0004-5411","issn-type":"print"},{"issue":"4","key":"5","doi-asserted-by":"publisher","first-page":"1251","DOI":"10.1137\/110820300","article-title":"Coupling forward-backward with penalty schemes and parallel splitting for constrained variational inequalities","volume":"21","author":"Attouch, H\u00e9dy","year":"2011","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"issue":"3","key":"6","doi-asserted-by":"publisher","first-page":"797","DOI":"10.1007\/s00205-013-0632-x","article-title":"Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise","volume":"209","author":"Barbu, Viorel","year":"2013","journal-title":"Arch. Ration. Mech. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0003-9527","issn-type":"print"},{"issue":"5","key":"7","doi-asserted-by":"publisher","first-page":"2565","DOI":"10.1137\/22M1475983","article-title":"Anderson acceleration for nonsmooth fixed point problems","volume":"60","author":"Bian, Wei","year":"2022","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"},{"issue":"5","key":"8","doi-asserted-by":"publisher","first-page":"S1--S20","DOI":"10.1137\/20M132938X","article-title":"Anderson acceleration for a class of nonsmooth fixed-point problems","volume":"43","author":"Bian, Wei","year":"2021","journal-title":"SIAM J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/1064-8275","issn-type":"print"},{"issue":"1","key":"9","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/j.ejor.2020.04.035","article-title":"The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces","volume":"287","author":"Bo\u0163, R. I.","year":"2020","journal-title":"European J. Oper. Res.","ISSN":"https:\/\/id.crossref.org\/issn\/0377-2217","issn-type":"print"},{"issue":"2","key":"10","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/s10957-020-01792-w","article-title":"Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators","volume":"188","author":"Cai, Gang","year":"2021","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"4-5","key":"11","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1080\/10556788.2010.551536","article-title":"Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space","volume":"26","author":"Censor, Yair","year":"2011","journal-title":"Optim. Methods Softw.","ISSN":"https:\/\/id.crossref.org\/issn\/1055-6788","issn-type":"print"},{"issue":"2","key":"12","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1007\/s10957-010-9757-3","article-title":"The subgradient extragradient method for solving variational inequalities in Hilbert space","volume":"148","author":"Censor, Y.","year":"2011","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"1","key":"13","doi-asserted-by":"publisher","first-page":"A365--A379","DOI":"10.1137\/18M1171084","article-title":"Convergence of the EDIIS algorithm for nonlinear equations","volume":"41","author":"Chen, Xiaojun","year":"2019","journal-title":"SIAM J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/1064-8275","issn-type":"print"},{"issue":"2","key":"14","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1137\/S0363012997315907","article-title":"On homotopy-smoothing methods for box-constrained variational inequalities","volume":"37","author":"Chen, Xiaojun","year":"1999","journal-title":"SIAM J. Control Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/0363-0129","issn-type":"print"},{"issue":"2","key":"15","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1007\/BF00941468","article-title":"Pseudo-monotone complementarity problems in Hilbert space","volume":"75","author":"Cottle, R. W.","year":"1992","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"5","key":"16","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/0167-6377(84)90055-5","article-title":"A network formulation of market equilibrium problems and variational inequalities","volume":"3","author":"Dafermos, Stella","year":"1984","journal-title":"Oper. Res. Lett.","ISSN":"https:\/\/id.crossref.org\/issn\/0167-6377","issn-type":"print"},{"issue":"5","key":"17","doi-asserted-by":"publisher","first-page":"757","DOI":"10.1007\/s10559-015-9768-z","article-title":"Convergence of the modified extragradient method for variational inequalities with non-Lipschitz operators","volume":"51","author":"Denisov, S. V.","year":"2015","journal-title":"Cybernet. Systems Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/1060-0396","issn-type":"print"},{"issue":"3","key":"18","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1007\/s10898-017-0506-0","article-title":"Inertial projection and contraction algorithms for variational inequalities","volume":"70","author":"Dong, Q. L.","year":"2018","journal-title":"J. Global Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/0925-5001","issn-type":"print"},{"key":"19","series-title":"Springer Series in Operations Research","isbn-type":"print","volume-title":"Finite-dimensional variational inequalities and complementarity problems. Vol. I","author":"Facchinei, Francisco","year":"2003","ISBN":"https:\/\/id.crossref.org\/isbn\/0387955801"},{"issue":"3","key":"20","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1007\/BF02192160","article-title":"A Newton-type method for positive-semidefinite linear complementarity problems","volume":"86","author":"Fischer, A.","year":"1995","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"key":"21","series-title":"Monographs and Textbooks in Pure and Applied Mathematics","isbn-type":"print","volume-title":"Uniform convexity, hyperbolic geometry, and nonexpansive mappings","volume":"83","author":"Goebel, Kazimierz","year":"1984","ISBN":"https:\/\/id.crossref.org\/isbn\/0824772237"},{"key":"22","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1090\/S0002-9904-1964-11178-2","article-title":"Convex programming in Hilbert space","volume":"70","author":"Goldstein, A. A.","year":"1964","journal-title":"Bull. Amer. Math. Soc.","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9904","issn-type":"print"},{"issue":"1","key":"23","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/s10898-020-00895-y","article-title":"Two modified extragradient algorithms for solving variational inequalities","volume":"78","author":"Hai, Trinh Ngoc","year":"2020","journal-title":"J. Global Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/0925-5001","issn-type":"print"},{"key":"24","isbn-type":"print","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1007\/bf01582255","article-title":"A damped-Newton method for the linear complementarity problem","author":"Harker, Patrick T.","year":"1990","ISBN":"https:\/\/id.crossref.org\/isbn\/0821811312"},{"issue":"5","key":"25","doi-asserted-by":"publisher","first-page":"3579","DOI":"10.1137\/16M1057759","article-title":"Shape optimization for a class of semilinear variational inequalities with applications to damage models","volume":"48","author":"Heinemann, Christian","year":"2016","journal-title":"SIAM J. Math. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1410","issn-type":"print"},{"issue":"4","key":"26","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1007\/s11075-015-0078-3","article-title":"Anderson acceleration of the alternating projections method for computing the nearest correlation matrix","volume":"72","author":"Higham, Nicholas J.","year":"2016","journal-title":"Numer. Algorithms","ISSN":"https:\/\/id.crossref.org\/issn\/1017-1398","issn-type":"print"},{"key":"27","unstructured":"K. Huang and S. Zhang, An approximation-based regularized extra-gradient method for monotone variational inequalities, Preprint,  arXiv:2210.04440, 2022."},{"issue":"3","key":"28","first-page":"403","article-title":"Beyond monotone variational inequalities: solution methods and iteration complexities","volume":"20","author":"Huang, Kevin","year":"2024","journal-title":"Pac. J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1348-9151","issn-type":"print"},{"issue":"4","key":"29","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1007\/BF00932654","article-title":"Complementarity problems over cones with monotone and pseudomonotone maps","volume":"18","author":"Karamardian, S.","year":"1976","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"1","key":"30","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/BF00940531","article-title":"Seven kinds of monotone maps","volume":"66","author":"Karamardian, S.","year":"1990","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"4","key":"31","first-page":"747","article-title":"An extragradient method for finding saddle points and for other problems","volume":"12","author":"Korpelevi\u010d, G. M.","year":"1976","journal-title":"\\`Ekonom. i Mat. Metody","ISSN":"https:\/\/id.crossref.org\/issn\/0424-7388","issn-type":"print"},{"issue":"2","key":"32","doi-asserted-by":"publisher","first-page":"432","DOI":"10.1007\/s10957-020-01791-x","article-title":"An extragradient method for solving variational inequalities without monotonicity","volume":"188","author":"Lei, Ming","year":"2021","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"3","key":"33","doi-asserted-by":"publisher","first-page":"1499","DOI":"10.1137\/060675319","article-title":"A hybrid extragradient-viscosity method for monotone operators and fixed point problems","volume":"47","author":"Maing\u00e9, Paul-Emile","year":"2008","journal-title":"SIAM J. Control Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/0363-0129","issn-type":"print"},{"issue":"1","key":"34","doi-asserted-by":"publisher","first-page":"502","DOI":"10.1137\/14097238X","article-title":"Projected reflected gradient methods for monotone variational inequalities","volume":"25","author":"Malitsky, Yu.","year":"2015","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"issue":"2","key":"35","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1007\/s10559-014-9614-8","article-title":"An extragradient algorithm for monotone variational inequalities","volume":"50","author":"Malitsky, Yu. V.","year":"2014","journal-title":"Cybernet. Systems Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/1060-0396","issn-type":"print"},{"issue":"1","key":"36","doi-asserted-by":"publisher","first-page":"336","DOI":"10.1137\/22M151460X","article-title":"Descent properties of an Anderson accelerated gradient method with restarting","volume":"34","author":"Ouyang, Wenqing","year":"2024","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"issue":"1","key":"37","doi-asserted-by":"publisher","first-page":"Paper No. 5, 37","DOI":"10.1007\/s10915-023-02231-4","article-title":"Nonmonotone globalization for Anderson acceleration via adaptive regularization","volume":"96","author":"Ouyang, Wenqing","year":"2023","journal-title":"J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/0885-7474","issn-type":"print"},{"issue":"3-4","key":"38","first-page":"1113","article-title":"Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time","volume":"17","author":"Peypouquet, Juan","year":"2010","journal-title":"J. Convex Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0944-6532","issn-type":"print"},{"issue":"2","key":"39","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/s10107-019-01458-0","article-title":"Solving Lagrangian variational inequalities with applications to stochastic programming","volume":"181","author":"Rockafellar, R. Tyrrell","year":"2020","journal-title":"Math. Program.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5610","issn-type":"print"},{"issue":"4","key":"40","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1023\/A:1008777829180","article-title":"A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator","volume":"7","author":"Solodov, M. V.","year":"1999","journal-title":"Set-Valued Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0927-6947","issn-type":"print"},{"key":"41","doi-asserted-by":"publisher","first-page":"Paper No. 115099, 17","DOI":"10.1016\/j.cam.2023.115099","article-title":"A single projection algorithm with double inertial extrapolation steps for solving pseudomonotone variational inequalities in Hilbert space","volume":"426","author":"Thong, Duong Viet","year":"2023","journal-title":"J. Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0377-0427","issn-type":"print"},{"issue":"1","key":"42","doi-asserted-by":"publisher","first-page":"Paper No. 20, 19","DOI":"10.1007\/s11784-018-0656-9","article-title":"Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities","volume":"21","author":"Thong, Duong Viet","year":"2019","journal-title":"J. Fixed Point Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/1661-7738","issn-type":"print"},{"issue":"2","key":"43","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1007\/s11075-019-00780-0","article-title":"Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings","volume":"84","author":"Thong, Duong Viet","year":"2020","journal-title":"Numer. Algorithms","ISSN":"https:\/\/id.crossref.org\/issn\/1017-1398","issn-type":"print"},{"issue":"2","key":"44","doi-asserted-by":"publisher","first-page":"805","DOI":"10.1137\/130919398","article-title":"Convergence analysis for Anderson acceleration","volume":"53","author":"Toth, Alex","year":"2015","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"},{"issue":"1","key":"45","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/s11075-018-0547-6","article-title":"Convergence of an extragradient-type method for variational inequality with applications to optimal control problems","volume":"81","author":"Vuong, Phan Tu","year":"2019","journal-title":"Numer. Algorithms","ISSN":"https:\/\/id.crossref.org\/issn\/1017-1398","issn-type":"print"},{"issue":"8","key":"46","doi-asserted-by":"publisher","first-page":"2639","DOI":"10.1080\/02331934.2023.2231002","article-title":"Extragradient type projection algorithm for solving quasimonotone variational inequalities","volume":"73","author":"Wang, W. Y.","year":"2024","journal-title":"Optimization","ISSN":"https:\/\/id.crossref.org\/issn\/0233-1934","issn-type":"print"},{"issue":"1","key":"47","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1007\/s10957-018-1351-0","article-title":"A modified projected gradient method for monotone variational inequalities","volume":"179","author":"Yang, Jun","year":"2018","journal-title":"J. Optim. Theory Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-3239","issn-type":"print"},{"issue":"3","key":"48","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1007\/s11075-018-0504-4","article-title":"Strong convergence result for solving monotone variational inequalities in Hilbert space","volume":"80","author":"Yang, Jun","year":"2019","journal-title":"Numer. Algorithms","ISSN":"https:\/\/id.crossref.org\/issn\/1017-1398","issn-type":"print"},{"issue":"12","key":"49","doi-asserted-by":"publisher","first-page":"2247","DOI":"10.1080\/02331934.2018.1523404","article-title":"Modified subgradient extragradient algorithms for solving monotone variational inequalities","volume":"67","author":"Yang, Jun","year":"2018","journal-title":"Optimization","ISSN":"https:\/\/id.crossref.org\/issn\/0233-1934","issn-type":"print"},{"issue":"2","key":"50","doi-asserted-by":"publisher","first-page":"Paper No. 71, 29","DOI":"10.1007\/s10915-021-01751-1","article-title":"Subgradient extragradient method with double inertial steps for variational inequalities","volume":"90","author":"Yao, Yonghong","year":"2022","journal-title":"J. Sci. Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/0885-7474","issn-type":"print"},{"issue":"4","key":"51","doi-asserted-by":"publisher","first-page":"1723","DOI":"10.1007\/s11075-021-01170-1","article-title":"An infeasible projection type algorithm for nonmonotone variational inequalities","volume":"89","author":"Ye, Minglu","year":"2022","journal-title":"Numer. Algorithms","ISSN":"https:\/\/id.crossref.org\/issn\/1017-1398","issn-type":"print"},{"issue":"1","key":"52","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/s10589-014-9659-7","article-title":"A double projection method for solving variational inequalities without monotonicity","volume":"60","author":"Ye, Minglu","year":"2015","journal-title":"Comput. Optim. Appl.","ISSN":"https:\/\/id.crossref.org\/issn\/0926-6003","issn-type":"print"},{"issue":"4","key":"53","doi-asserted-by":"publisher","first-page":"3170","DOI":"10.1137\/18M1232772","article-title":"Globally convergent type-I Anderson acceleration for nonsmooth fixed-point iterations","volume":"30","author":"Zhang, Junzi","year":"2020","journal-title":"SIAM J. Optim.","ISSN":"https:\/\/id.crossref.org\/issn\/1052-6234","issn-type":"print"},{"key":"54","doi-asserted-by":"publisher","first-page":"Paper No. 113624, 11","DOI":"10.1016\/j.cam.2021.113624","article-title":"An accelerated monotonic convergent algorithm for a class of non-Lipschitzian NCP(\ud835\udc39) involving an \ud835\udc40-matrix","volume":"397","author":"Zhang, Xi","year":"2021","journal-title":"J. Comput. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0377-0427","issn-type":"print"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.ams.org\/mcom\/2026-95-359\/S0025-5718-2025-04095-X\/mcom4095_AM.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/www.ams.org\/mcom\/2026-95-359\/S0025-5718-2025-04095-X\/S0025-5718-2025-04095-X.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T06:01:50Z","timestamp":1776837710000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2026-95-359\/S0025-5718-2025-04095-X\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,16]]},"references-count":54,"journal-issue":{"issue":"359","published-print":{"date-parts":[[2026,5]]}},"alternative-id":["S0025-5718-2025-04095-X"],"URL":"https:\/\/doi.org\/10.1090\/mcom\/4095","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":[[2025,5,16]]}}}