
{"id":1131,"date":"2021-07-15T15:08:59","date_gmt":"2021-07-15T06:08:59","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/sk23\/?p=1131"},"modified":"2021-07-16T14:19:05","modified_gmt":"2021-07-16T05:19:05","slug":"mixing-schemes-for-fixed-point-problems","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sk23\/2021\/07\/15\/mixing-schemes-for-fixed-point-problems\/","title":{"rendered":"Mixing Schemes for Fixed-Point Problems"},"content":{"rendered":"<p>\ud559\uacfc \uc138\ubbf8\ub098\uc785\ub2c8\ub2e4.<\/p>\n<p>\uc5f0\uc0ac: \uace0\ud0dc\ud76c (Pennsylvania State University \ubc15\uc0ac\uacfc\uc815)<br \/>\n\uc77c\uc2dc: 2021\ub144 7\uc6d4 19\uc77c \uc6d4\uc694\uc77c \uc624\ud6c4 2\uc2dc<br \/>\n\uc7a5\uc18c: \uc774\ud559\uad00 620\ud638 \/ Zoom \uc628\ub77c\uc778 \uc138\ubbf8\ub098<\/p>\n<p>\uc81c\ubaa9: Mixing Schemes for Fixed-Point Problems with Application to Self-Consistent Calculations of Electronic Structures<\/p>\n<p>\ucd08\ub85d: In the self-consistent calculations of electronic structures, mixing schemes are widely used to improve the convergence of the iteration. With a fixed-point problem arisen from such a calculation, I will review on the past and present results on deterministic mixing schemes such as the simple mixing and Anderson mixing. Secondly, I will give an overview of the simple mixing scheme towards convergence in mean-square and stochastic stability based on the Lyapunov functional approach. I also hope to describe about our results on convergence and stability of general mixing schemes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud559\uacfc \uc138\ubbf8\ub098\uc785\ub2c8\ub2e4. \uc5f0\uc0ac: \uace0\ud0dc\ud76c (Pennsylvania State University \ubc15\uc0ac\uacfc\uc815) \uc77c\uc2dc: 2021\ub144 7\uc6d4 19\uc77c \uc6d4\uc694\uc77c \uc624\ud6c4 2\uc2dc \uc7a5\uc18c: \uc774\ud559\uad00 620\ud638 \/ Zoom \uc628\ub77c\uc778 \uc138\ubbf8\ub098 \uc81c\ubaa9: Mixing Schemes for Fixed-Point Problems with Application to Self-Consistent Calculations of Electronic Structures \ucd08\ub85d: In the self-consistent calculations of electronic structures, mixing schemes are widely used to improve the convergence of the &#8230; <a title=\"Mixing Schemes for Fixed-Point Problems\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/sk23\/2021\/07\/15\/mixing-schemes-for-fixed-point-problems\/\" aria-label=\"Mixing Schemes for Fixed-Point Problems\uc5d0 \ub300\ud574 \ub354 \uc790\uc138\ud788 \uc54c\uc544\ubcf4\uc138\uc694\">\ub354 \uc77d\uae30<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1131","post","type-post","status-publish","format-standard","hentry","category-news-events"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/sk23","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1131","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/comments?post=1131"}],"version-history":[{"count":3,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1131\/revisions"}],"predecessor-version":[{"id":1177,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1131\/revisions\/1177"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=1131"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=1131"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=1131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}