{"id":10229,"date":"2018-03-05T01:01:21","date_gmt":"2018-03-05T00:01:21","guid":{"rendered":"http:\/\/djalil.chafai.net\/blog\/?p=10229"},"modified":"2018-03-07T02:42:11","modified_gmt":"2018-03-07T01:42:11","slug":"10229","status":"publish","type":"post","link":"https:\/\/djalil.chafai.net\/blog\/2018\/03\/05\/10229\/","title":{"rendered":"Random Matrix Diagonalization on Computer"},"content":{"rendered":"<p><a href=\"http:\/\/hdl.handle.net\/2027\/mdp.39015086582122\"><img loading=\"lazy\" class=\"aligncenter wp-image-10231 size-full\" src=\"http:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2018\/03\/Porter-cover-image.jpg\" alt=\"\" width=\"554\" height=\"716\" srcset=\"https:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2018\/03\/Porter-cover-image.jpg 554w, https:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2018\/03\/Porter-cover-image-232x300.jpg 232w, https:\/\/djalil.chafai.net\/blog\/wp-content\/uploads\/2018\/03\/Porter-cover-image-116x150.jpg 116w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Charles E. Porter was one of the first to use computers to study the eigenvalues and eigenvectors of random matrices. Here is a <a href=\"http:\/\/djalil.chafai.net\/docs\/Porter-1963.pdf\">PDF file<\/a> of his article entitled <em>Random Matrix Diagonalization \u2014 Some Numerical Computations<\/em>, published in Journal of Mathematical Physics 4, 1039 (1963). Here is also the <a href=\"http:\/\/hdl.handle.net\/2027\/mdp.39015086582122\">PDF file<\/a> of the detailed programs, written in collaboration with K. Fuchel and Rita J. Greibach (the cover is above). It includes full <a href=\"https:\/\/en.wikipedia.org\/wiki\/IBM_700\/7000_series#FORTRAN_assembly_program\">FAP<\/a> and <a href=\"https:\/\/en.wikipedia.org\/wiki\/Fortran\">FORTRAN<\/a> listings for the\u00a0<a href=\"https:\/\/en.wikipedia.org\/wiki\/IBM_7080\">IBM 7080<\/a> computer. This was kindly shared by <a href=\"https:\/\/en.wikipedia.org\/wiki\/Alan_Edelman\">Alan Edelman<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Charles E. Porter was one of the first to use computers to study the eigenvalues and eigenvectors of random matrices. Here is a PDF file&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/djalil.chafai.net\/blog\/2018\/03\/05\/10229\/\">Continue reading<span class=\"screen-reader-text\">Random Matrix Diagonalization on Computer<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":98},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/10229"}],"collection":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/comments?post=10229"}],"version-history":[{"count":8,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/10229\/revisions"}],"predecessor-version":[{"id":10239,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/posts\/10229\/revisions\/10239"}],"wp:attachment":[{"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/media?parent=10229"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/categories?post=10229"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/djalil.chafai.net\/blog\/wp-json\/wp\/v2\/tags?post=10229"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}