{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T12:28:39Z","timestamp":1774009719064,"version":"3.50.1"},"reference-count":37,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T00:00:00Z","timestamp":1771372800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100022175","name":"Stuttgart Center for Simulation Science, Universit\u00e4t Stuttgart","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100022175","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"German Research Foundation","doi-asserted-by":"publisher","award":["390740016 \\u2013 EXC 2075"],"award-info":[{"award-number":["390740016 \\u2013 EXC 2075"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"German Research Foundation","doi-asserted-by":"publisher","award":["327154368 \\u2013 SFB 1313"],"award-info":[{"award-number":["327154368 \\u2013 SFB 1313"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.cam.2026.117453","type":"journal-article","created":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T15:53:31Z","timestamp":1771084411000},"page":"117453","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Data-driven geometric parameter optimization for PD-GMRES"],"prefix":"10.1016","volume":"484","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-7983-9389","authenticated-orcid":false,"given":"Lennart","family":"Duvenbeck","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0006-3855-9223","authenticated-orcid":false,"given":"Cedric","family":"Riethm\u00fcller","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9183-5094","authenticated-orcid":false,"given":"Christian","family":"Rohde","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2026.117453_bib0001","series-title":"Iterative Methods for Sparse Linear Systems","author":"Saad","year":"2003"},{"issue":"3","key":"10.1016\/j.cam.2026.117453_bib0002","doi-asserted-by":"crossref","first-page":"856","DOI":"10.1137\/0907058","article-title":"GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems","volume":"7","author":"Saad","year":"1986","journal-title":"SIAM J. Sci. Stat. Comput."},{"issue":"2","key":"10.1016\/j.cam.2026.117453_bib0003","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1137\/S003614450139961","article-title":"The tortoise and the hare restart GMRES","volume":"45","author":"Embree","year":"2003","journal-title":"SIAM Rev."},{"key":"10.1016\/j.cam.2026.117453_bib0004","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.apnum.2013.02.008","article-title":"Necessary and sufficient conditions for GMRES complete and partial stagnation","volume":"75","author":"Meurant","year":"2014","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.cam.2026.117453_bib0005","first-page":"202","article-title":"On a non-stagnation condition for GMRES and application to saddle point matrices","volume":"37","author":"Simoncini","year":"2010","journal-title":"Electron. Trans. Numer. Anal."},{"key":"10.1016\/j.cam.2026.117453_bib0006","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/S0024-3795(02)00612-2","article-title":"Complete stagnation of GMRES","volume":"367","author":"Zavorin","year":"2003","journal-title":"Linear Algebra Appl."},{"issue":"4","key":"10.1016\/j.cam.2026.117453_bib0007","doi-asserted-by":"crossref","first-page":"962","DOI":"10.1137\/S0895479803422014","article-title":"A technique for accelerating the convergence of restarted GMRES","volume":"26","author":"Baker","year":"2005","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"5","key":"10.1016\/j.cam.2026.117453_bib0008","doi-asserted-by":"crossref","DOI":"10.1002\/nla.2305","article-title":"Improving GMRES(m) using an adaptive switching controller","volume":"27","author":"Cabral","year":"2020","journal-title":"Numer. Linear Algebra Appl."},{"issue":"1\u20132","key":"10.1016\/j.cam.2026.117453_bib0009","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/S0377-0427(00)00398-8","article-title":"Analysis of acceleration strategies for restarted minimal residual methods","volume":"123","author":"Eiermann","year":"2000","journal-title":"J. Comput. Appl. Math."},{"issue":"4","key":"10.1016\/j.cam.2026.117453_bib0010","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1137\/S0895479893253975","article-title":"A restarted GMRES method augmented with eigenvectors","volume":"16","author":"Morgan","year":"1995","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"1","key":"10.1016\/j.cam.2026.117453_bib0011","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/nla.499","article-title":"Recent computational developments in Krylov subspace methods for linear systems","volume":"14","author":"Simoncini","year":"2007","journal-title":"Numer. Linear Algebra Appl."},{"issue":"2","key":"10.1016\/j.cam.2026.117453_bib0012","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1016\/j.cam.2009.01.009","article-title":"A simple strategy for varying the restart parameter in GMRES(m)","volume":"230","author":"Baker","year":"2009","journal-title":"J. Comput. Appl. Math."},{"issue":"5","key":"10.1016\/j.cam.2026.117453_bib0013","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1002\/nla.1680010502","article-title":"On the convergence behavior of the restarted GMRES algorithm for solving nonsymmetric linear systems","volume":"1","author":"Joubert","year":"1994","journal-title":"Numer. Linear Algebra Appl."},{"key":"10.1016\/j.cam.2026.117453_bib0014","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.cam.2018.01.009","article-title":"A proportional-derivative control strategy for restarting the GMRES(m) algorithm","volume":"337","author":"Cuevas N\u00fa\u00f1ez","year":"2018","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117453_bib0015","series-title":"State Space Theory of Discrete Linear Control","author":"Strejc","year":"1981"},{"key":"10.1016\/j.cam.2026.117453_bib0016","series-title":"Practical PID Control","author":"Visioli","year":"2006"},{"issue":"4","key":"10.1016\/j.cam.2026.117453_bib0017","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","article-title":"A simplex method for function minimization","volume":"7","author":"Nelder","year":"1965","journal-title":"Comput. J."},{"key":"10.1016\/j.cam.2026.117453_bib0018","series-title":"Advances in Knowledge Discovery and Data Mining","first-page":"16","article-title":"Knowledge-infused optimization for parameter selection in numerical simulations","author":"Mei\u00dfner","year":"2024"},{"issue":"2","key":"10.1016\/j.cam.2026.117453_bib0019","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1145\/356924.356930","article-title":"The quadtree and related hierarchical data structures","volume":"16","author":"Samet","year":"1984","journal-title":"ACM Comput. Surv."},{"key":"10.1016\/j.cam.2026.117453_bib0020","series-title":"Fractal Image Compression with Quadtrees","first-page":"55","author":"Fisher","year":"1995"},{"issue":"1","key":"10.1016\/j.cam.2026.117453_bib0021","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/S0146-664X(76)80006-8","article-title":"Experiments on picture representation using regular decomposition","volume":"5","author":"Klinger","year":"1976","journal-title":"Comput. Graph. Image Process."},{"issue":"2","key":"10.1016\/j.cam.2026.117453_bib0022","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1109\/83.277901","article-title":"Image compression via improved quadtree decomposition algorithms","volume":"3","author":"Shusterman","year":"1994","journal-title":"IEEE Trans. Image Process."},{"issue":"12","key":"10.1016\/j.cam.2026.117453_bib0023","doi-asserted-by":"crossref","first-page":"1720","DOI":"10.1109\/TCSVT.2012.2223051","article-title":"Block merging for quadtree-based partitioning in HEVC","volume":"22","author":"Helle","year":"2012","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"issue":"3","key":"10.1016\/j.cam.2026.117453_bib0024","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1109\/83.287030","article-title":"Efficient quadtree coding of images and video","volume":"3","author":"Sullivan","year":"1994","journal-title":"IEEE Trans. Image Process."},{"issue":"11","key":"10.1016\/j.cam.2026.117453_bib0025","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1002\/(SICI)1097-4563(199711)14:11<789::AID-ROB3>3.0.CO;2-Q","article-title":"Octree-based hierarchical distance maps for collision detection","volume":"14","author":"Jung","year":"1997","journal-title":"J. Robot. Syst."},{"key":"10.1016\/j.cam.2026.117453_bib0026","series-title":"7th International Meshing Roundtable","first-page":"211","article-title":"Fast adaptive quadtree mesh generation","author":"Frey","year":"1998"},{"issue":"01","key":"10.1016\/j.cam.2026.117453_bib0027","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1109\/MCG.1983.262997","article-title":"A modified quadtree approach to finite element mesh generation","volume":"3","author":"Shephard","year":"1983","journal-title":"IEEE Comput. Graph. Appl."},{"key":"10.1016\/j.cam.2026.117453_bib0028","series-title":"Fast Adaptive Hybrid Mesh Generation Based on Quad-Tree Decomposition","author":"Ebeida","year":"2008"},{"key":"10.1016\/j.cam.2026.117453_bib0029","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1016\/j.enganabound.2019.06.011","article-title":"Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method","volume":"106","author":"Huo","year":"2019","journal-title":"Eng. Anal. Bound. Elem."},{"issue":"4","key":"10.1016\/j.cam.2026.117453_bib0030","doi-asserted-by":"crossref","first-page":"3399","DOI":"10.1007\/s00366-021-01330-w","article-title":"Fast quadtree\/octree adaptive meshing and Re-meshing with linear mixed elements","volume":"38","author":"Jaillet","year":"2022","journal-title":"Eng. Comput."},{"key":"10.1016\/j.cam.2026.117453_bib0031","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s00778-002-0067-8","article-title":"Speeding up construction of PMR quadtree-based spatial indexes","volume":"11","author":"Hjaltason","year":"2002","journal-title":"VLDB J."},{"key":"10.1016\/j.cam.2026.117453_bib0032","series-title":"Proceedings of the 2002 ACM SIGMOD International Conference on Management of Data","first-page":"546","article-title":"Quadtree and R-tree indexes in oracle spatial: a comparison using GIS data","author":"Kothuri","year":"2002"},{"key":"10.1016\/j.cam.2026.117453_bib0033","series-title":"Proceedings Visualization\u201998 (Cat. No. 98CB36276)","first-page":"19","article-title":"Large scale terrain visualization using the restricted quadtree triangulation","author":"Pajarola","year":"1998"},{"key":"10.1016\/j.cam.2026.117453_bib0034","series-title":"IEEE Visualization, 2002. VIS 2002.","first-page":"395","article-title":"QuadTIN: quadtree based triangulated irregular networks","author":"Pajarola","year":"2002"},{"issue":"3","key":"10.1016\/j.cam.2026.117453_bib0035","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1145\/322261.322267","article-title":"Connected component labeling using quadtrees","volume":"28","author":"Samet","year":"1981","journal-title":"J. ACM"},{"issue":"1","key":"10.1016\/j.cam.2026.117453_bib0036","doi-asserted-by":"crossref","DOI":"10.1145\/2049662.2049663","article-title":"The university of florida sparse matrix collection","volume":"38","author":"Davis","year":"2011","journal-title":"ACM Trans. Math. Software"},{"key":"10.1016\/j.cam.2026.117453_bib0037","article-title":"Matlab code and data for: Data-driven geometric parameter optimization for PD-GMRES","author":"Duvenbeck","year":"2025","journal-title":"DaRUS, V2"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726001184?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726001184?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T10:30:49Z","timestamp":1774002649000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042726001184"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":37,"alternative-id":["S0377042726001184"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2026.117453","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Data-driven geometric parameter optimization for PD-GMRES","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2026.117453","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Authors. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"117453"}}