{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T02:15:47Z","timestamp":1773454547400,"version":"3.50.1"},"reference-count":58,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/100007863","name":"Rice University","doi-asserted-by":"publisher","award":["Maxfield-Oshman Chair in Engineering"],"award-info":[{"award-number":["Maxfield-Oshman Chair in Engineering"]}],"id":[{"id":"10.13039\/100007863","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1137\/15m1049956","type":"journal-article","created":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T15:56:56Z","timestamp":1518451016000},"page":"3-55","source":"Crossref","is-referenced-by-count":20,"title":["Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method"],"prefix":"10.1137","volume":"60","author":[{"given":"Richard A.","family":"Tapia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"suffix":"Jr.","given":"J. E.","family":"Dennis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jan P.","family":"Sch\u00e4fermeyer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1017\/S0370164600022070"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02165469"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/0612053"},{"key":"atypb6","first-page":"9","volume":"2","author":"Cauchy A.","year":"1891","journal-title":"Paris, Ser."},{"key":"atypb7","first-page":"67","author":"Chatelin F.","year":"1984","journal-title":"Vienna"},{"key":"atypb8","first-page":"267","author":"Chatelin F.","year":"1986","journal-title":"Amsterdam"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1943-07818-4"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1951.0129"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(75)90065-0"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1007\/BF02166685"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1137\/0720002"},{"key":"atypb17","first-page":"1864","volume":"176","year":"1923","journal-title":"C.R. Acad. Sci. Paris"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/13.3.317"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.70.589"},{"key":"atypb25","first-page":"89","author":"Hestenes M.R.","year":"1953","journal-title":"D.C."},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1007\/BF00927673"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1037\/h0071325"},{"key":"atypb29","first-page":"453","author":"Ipsen I.C.F.","year":"1996","journal-title":"Berlin"},{"key":"atypb30","first-page":"464","year":"1996","journal-title":"Berlin"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144596300773"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1002\/asna.18450222002"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1846.30.51"},{"key":"atypb34","first-page":"89","volume":"3","author":"Kantorovich L.V.","year":"1948","journal-title":"Uspekhi Mat. Nauk"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1063\/1.1747366"},{"key":"atypb37","first-page":"133","volume":"21","author":"Liouville J.","year":"1830","journal-title":"Ann. Math. Pures Appl."},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01742790"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19290090206"},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1137\/0907054"},{"key":"atypb41","first-page":"43","volume":"156","author":"Mu\u0308ntz C.H.","year":"1913","journal-title":"C. R. Acad. Sci. Paris"},{"key":"atypb42","first-page":"860","volume":"156","author":"Mu\u0308ntz C.H.","year":"1913","journal-title":"C. R. Acad. Sci. Paris"},{"key":"atypb43","first-page":"109","volume":"29","author":"Mu\u0308ntz C.H.","year":"1918","journal-title":"Prace Matematyczno-Fizyczne"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1007\/BF00298007"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1007\/BF00277939"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1007\/BF00284194"},{"key":"atypb50","first-page":"116","volume":"14","author":"Parlett B.N.","year":"2007","journal-title":"Internat. J. Appl. Sci. Comput."},{"key":"atypb51","doi-asserted-by":"publisher","DOI":"10.1137\/1021052"},{"key":"atypb52","first-page":"9","volume":"4","author":"Picard E.","year":"1893","journal-title":"J. Math. Pures Appl. Ser."},{"key":"atypb53","first-page":"379","volume":"118","author":"Picard E.","year":"1894","journal-title":"C. R. Acad. Sci. Paris"},{"key":"atypb54","first-page":"28","volume":"1","author":"Pohlhausen E.","year":"1921","journal-title":"Math. Mech."},{"key":"atypb55","first-page":"283","year":"1969","journal-title":"New York"},{"key":"atypb57","doi-asserted-by":"publisher","DOI":"10.1002\/andp.19093330403"},{"key":"atypb58","doi-asserted-by":"publisher","DOI":"10.1137\/0719089"},{"key":"atypb59","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00391-5"},{"key":"atypb61","doi-asserted-by":"publisher","DOI":"10.1007\/BF03029116"},{"key":"atypb62","first-page":"241","volume":"1890","author":"Schwarz H.A.","journal-title":"Berlin"},{"key":"atypb63","first-page":"81","volume":"11","author":"Seidel L.","year":"1874","journal-title":"Abh. Math.-Phys. Kl. Bayr. Akad. Wiss."},{"key":"atypb64","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021930421106"},{"key":"atypb66","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479894270427"},{"key":"atypb67","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492902000089"},{"key":"atypb72","first-page":"125","author":"Tapia R.A.","year":"1978","journal-title":"New York"},{"key":"atypb73","doi-asserted-by":"publisher","DOI":"10.1137\/0725079"},{"key":"atypb74","first-page":"281","volume":"30","author":"Unger H.","year":"1950","journal-title":"Math. Mech."},{"key":"atypb76","first-page":"3","year":"2002","journal-title":"Amsterdam"},{"key":"atypb77","doi-asserted-by":"publisher","DOI":"10.1007\/BF01312438"},{"key":"atypb79","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/1.2.90"},{"key":"atypb81","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19550351202"},{"key":"atypb82","first-page":"202","volume":"7","author":"Wu K.","year":"1998","journal-title":"Electron. Trans. Numer. Anal."}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/15M1049956","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,11,21]],"date-time":"2018-11-21T16:51:25Z","timestamp":1542819085000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/15M1049956"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":58,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1137\/15M1049956"],"URL":"https:\/\/doi.org\/10.1137\/15m1049956","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]}}}