{"id":12,"date":"2023-07-16T13:47:18","date_gmt":"2023-07-16T17:47:18","guid":{"rendered":"https:\/\/sites.temple.edu\/higgins\/?page_id=12"},"modified":"2025-03-25T20:25:32","modified_gmt":"2025-03-26T00:25:32","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.temple.edu\/higgins\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"12\" class=\"elementor elementor-12\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5f219984 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5f219984\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4b1ef49b\" data-id=\"4b1ef49b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6ba0912 elementor-widget elementor-widget-text-editor\" data-id=\"6ba0912\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2><b>Publications and Technical Reports<\/b><\/h2>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:list --><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul><!-- wp:list-item --><\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><a href=\"https:\/\/www.researchgate.net\/profile\/Ichitaro-Yamazaki\">Ichitaro Yamazaki<\/a>, Andrew J. Higgins,\u00a0<a href=\"https:\/\/www.sandia.gov\/~egboman\/\">Erik G. Boman<\/a>, <a href=\"https:\/\/www.math.temple.edu\/~szyld\/\">Daniel B. Szyld<\/a>,<br \/><span style=\"font-weight: bold\"><a href=\"https:\/\/arxiv.org\/pdf\/2503.16717\"> Random-sketching Techniques to Enhance the Numerical Stability of Block Orthogonalization Algorithms for s-step GMRES<\/a><\/span>, 2025. arXiv:2503.16717.\u00a0<a href=\"https:\/\/sites.temple.edu\/higgins\/research\/research-bibtex-entries\/#Boman.Higgins.Szyld.Yamazaki.25\">Bibtex<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none\">\n<ul><!-- wp:list-item --><\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><a href=\"https:\/\/www.researchgate.net\/profile\/Ichitaro-Yamazaki\">Ichitaro Yamazaki<\/a>, Andrew J. Higgins,\u00a0<a href=\"https:\/\/www.sandia.gov\/~egboman\/\">Erik G. Boman<\/a>, <a href=\"https:\/\/www.math.temple.edu\/~szyld\/\">Daniel B. Szyld<\/a>,<br \/><span style=\"font-weight: bold\"><a href=\"https:\/\/ieeexplore.ieee.org\/document\/10579089\"> Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES<\/a><\/span>, Proceedings of IPDPS 2024, the 38th IEEE International Parallel and Distributing Processing Symposium, pp. 26-37, 2024.\u00a0<a href=\"https:\/\/sites.temple.edu\/higgins\/research\/research-bibtex-entries\/#Boman.Higgins.Szyld.Yamazaki.24\">Bibtex<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>Andrew J. Higgins,\u00a0<a href=\"https:\/\/www.sandia.gov\/~egboman\/\">Erik G. Boman<\/a>, <a href=\"https:\/\/www.math.temple.edu\/~szyld\/\">Daniel B. Szyld<\/a>,\u00a0<a href=\"https:\/\/www.researchgate.net\/profile\/Ichitaro-Yamazaki\">Ichitaro Yamazaki<\/a>,<br \/><span style=\"font-weight: bold\"><a href=\"https:\/\/www.sandia.gov\/app\/uploads\/sites\/210\/2023\/11\/CSRI-2023-proceedings_FINAL.pdf#page=78\"> Randomized Householder-Cholesky QR Factorization with Multi-Sketching<\/a><\/span>, Technical Report SAND2023-13916R, Sandia National Laboratories (2023) pp. 70-78.\u00a0<a href=\"https:\/\/sites.temple.edu\/higgins\/research\/research-bibtex-entries\/#Boman.Higgins.Szyld.Yamazaki.23.TR\">Bibtex<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><!-- \/wp:list-item --><\/p>\n<p><!-- wp:list-item --><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><a href=\"https:\/\/www.sandia.gov\/~egboman\/\">Erik G. Boman<\/a>, Andrew J. Higgins, <a href=\"https:\/\/www.math.temple.edu\/~szyld\/\">Daniel B. Szyld<\/a>,<br \/><b><a href=\"https:\/\/link.springer.com\/epdf\/10.1007\/s11075-022-01439-z?sharing_token=wkQHwno3DjXMM40lXRW9rfe4RwlQNchNByi7wbcMAY6Cgrfhdvar83Ad8H_AkY-in-BXuL9gINmhlgH5pIQWHAsHB8rxi4aZIosJS8h8Z9u4nAOcdizFcSGFPwVrAmExhPpx8gB8OMYBaoyl_3sPaZyX1B3UUmE99y8WPHDEFQ0%3D\">Optimal Size of the Block in Block GMRES on GPUs: Computational Model and Experiments<\/a><\/b>. <a href=\"https:\/\/link.springer.com\/journal\/11075\/volumes-and-issues\">Numerical Algorithms<\/a>, vol. 92 (2023) pp. 119-147. <a href=\"https:\/\/sites.temple.edu\/higgins\/research\/research-bibtex-entries\/#Boman.Higgins.Szyld.23\">Bibtex<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><!-- \/wp:list-item --><\/p>\n<p><!-- wp:list-item --><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>Andrew J. Higgins, <a href=\"https:\/\/www.sandia.gov\/~egboman\/\">Erik G. Boman<\/a>, <a href=\"https:\/\/www.sandia.gov\/ccr\/staff\/jennifer-ann-loe\/\">Jennifer A. Loe<\/a>, <a href=\"https:\/\/www.researchgate.net\/profile\/Ichitaro-Yamazaki\">Ichitaro Yamazaki<\/a>,<br \/><b><a href=\"https:\/\/www.sandia.gov\/app\/uploads\/sites\/210\/2022\/12\/CSRI-2022-proceedings.pdf#page=124\">Numerical Evaluation of Random Sketch GMRES<\/a><\/b>, Technical Report SAND2022-10280R, Sandia National Laboratories (2022) pp. 116-128. <a href=\"https:\/\/sites.temple.edu\/higgins\/research\/research-bibtex-entries\/#Boman.Higgins.Loe.Yamazaki.22\">Bibtex<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><!-- \/wp:list-item --><\/p>\n<p><!-- \/wp:list --><\/p>\n<p><!-- wp:heading --><\/p>\n<h2><b>Preprints<\/b><\/h2>\n<ul>\n<li>Andrew J. Higgins, <a href=\"https:\/\/www.math.temple.edu\/~szyld\/\">Daniel B. Szyld<\/a>, <a href=\"https:\/\/www.sandia.gov\/~egboman\/\">Erik G. Boman<\/a>, <a href=\"https:\/\/www.researchgate.net\/profile\/Ichitaro-Yamazaki\">Ichitaro Yamazaki<\/a>,<br \/><b><a href=\"https:\/\/arxiv.org\/pdf\/2309.05868.pdf\">Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching<\/a><\/b>, (2023). Available at <b><a href=\"https:\/\/arxiv.org\/abs\/2309.05868\">arXiv:2309.05868<\/a><\/b>. <a href=\"https:\/\/sites.temple.edu\/higgins\/research\/research-bibtex-entries\/#Boman.Higgins.Szyld.Yamazaki.23\">Bibtex<\/a>.<\/li>\n<\/ul>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- \/wp:list --><\/p>\n<p><!-- wp:heading --><\/p>\n<h2>ORCID page<\/h2>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p><a href=\"https:\/\/orcid.org\/0009-0007-5527-9263\">https:\/\/orcid.org\/0009-0007-5527-9263<\/a><\/p>\n<p><!-- \/wp:paragraph --><\/p>\n<p><!-- wp:heading --><\/p>\n<h2>DBLP page<\/h2>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p><a href=\"https:\/\/dblp.org\/pid\/94\/3187-2.html\">https:\/\/dblp.org\/pid\/94\/3187-2.html<\/a><\/p>\n<p><!-- \/wp:paragraph --><!-- \/wp:list --><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Publications and Technical Reports &nbsp; Ichitaro Yamazaki, Andrew J. Higgins,\u00a0Erik G. Boman, Daniel B. Szyld, Random-sketching Techniques to Enhance the Numerical Stability of Block Orthogonalization Algorithms for s-step GMRES, 2025. arXiv:2503.16717.\u00a0Bibtex. Ichitaro Yamazaki, Andrew J. Higgins,\u00a0Erik G. Boman, Daniel B. Szyld, Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES, Proceedings of IPDPS 2024, the [&hellip;]<\/p>\n","protected":false},"author":34050,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"templates\/template-full-width.php","meta":{"footnotes":""},"class_list":["post-12","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/pages\/12","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/users\/34050"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/comments?post=12"}],"version-history":[{"count":28,"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/pages\/12\/revisions"}],"predecessor-version":[{"id":138,"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/pages\/12\/revisions\/138"}],"wp:attachment":[{"href":"https:\/\/sites.temple.edu\/higgins\/wp-json\/wp\/v2\/media?parent=12"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}