{"id":184,"date":"2021-03-15T12:47:39","date_gmt":"2021-03-15T16:47:39","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/hager\/?page_id=184"},"modified":"2026-03-19T08:18:26","modified_gmt":"2026-03-19T12:18:26","slug":"papers-and-software","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/hager\/papers-and-software\/","title":{"rendered":"Papers and Software"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Papers and Software<\/h1>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">10,000 Yen prize problem<\/a>\u00a0was solved on October 13, 2017, by Xiang-Sheng Wang. See Appendix 1 of\u00a0<a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">this paper.<\/a><\/li>\n<li>Wenhao Du obtained bounds for dual integration matrices in\u00a0<a href=\"https:\/\/rdcu.be\/b3ybI\" target=\"_blank\" rel=\"noopener\">this paper<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/software\/\">Software<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/gradient-methods-and-software\/\">Gradient Methods (CG\/CBB\/Nonmonotone)<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/error-estimation\/\">Error Estimation<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/lpdasa-update-downdate\/\">LPDASA\/Update\/Downdate<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/partitioning\/\">Partitioning<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/regularization-methods\/\">Regularization Methods<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/lightning-research\/\">Lightning<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/papers-software-in-communication-and-digital-signal-processing\/\">Communication and Digital Signal Processing<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/optimal-control\/\">Optimal Control<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/electronic-structure-computations\/\">Electronic Structure Computations<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/imaging\/\">Imaging<\/a><\/li>\n<li><a href=\"\/\/rdcu.be\/ebWQo\">W. W. Hager,<\/a>\u00a0Second-order sufficient optimality conditions in the calculus of variations, Journal of Optimization Theory and Applications, https:\/\/doi.org\/10.1007\/s10957-025-02639-y.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">W. W. Hager,<\/a>\u00a0Inequalities and approximation, in Constructive Approaches to Mathematical Models, C. V. Coffman and G. J. Fix, editors, Academic Press, New York, 1979, 189-202.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">SIAM Gator student conference, March 3-4, 2004,<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">C. P. Bras, W. W. Hager, and J. J. Judice,<\/a>\u00a0An investigation of feasible descent algorithms for estimating the condition number of a matrix,\u00a0TOP, Journal of the Spanish Society of Statistics and Operations Research, DOI 10.1007\/s11750-010-0161-9<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">J. Luo, W. W. Hager, and R. Wu,<\/a>\u00a0A differential equation model for functional mapping of a virus-cell dynamic system, Journal of Mathematical Biology, 61 (2010), pp. 1-15.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">W. W. Hager and D. T. Phan,<\/a>\u00a0An ellipsoidal branch and bound algorithm for global optimization, SIAM Journal on Optimization, 20 (2009), pp. 740-758.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">W. W. Hager, R. Rostamian, D. Wang,<\/a>\u00a0The wave annihilation technique and the design of nonreflective coatings, SIAM Journal on Applied Mathematics, 60 (2000), pp. 1388-1424.<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/fifth-siam-conference-on-control-and-its-applications\/\">Fifth SIAM Conference on Control and Its Applications<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">N. Ghosh, W. W. Hager, and P. Sarmah,<\/a>\u00a0The application of eigenpair stability to block diagonalization (SIAM Journal on Numerical Analysis, 34 (1997), pp. 1255-1268)<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/optpack\/\">Optpack,<\/a>\u00a0Software for solving nonlinear optimization problems<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/optpack-test-problems\/\">Optpack Test problems,<\/a>\u00a0Examples showing how to use optpack with the Colville test problems<\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/hager\/content-removed\/\">Holly Peters Hirst,<\/a>\u00a0N-step quadratic convergence in the conjugate gradient method (Phd thesis at Penn State University, 1989)<\/li><\/ul>\n\n\n\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":269,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-184","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/pages\/184","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/users\/269"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/comments?post=184"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/pages\/184\/revisions"}],"predecessor-version":[{"id":828,"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/pages\/184\/revisions\/828"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/hager\/wp-json\/wp\/v2\/media?parent=184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}