{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T10:13:37Z","timestamp":1762251217897},"reference-count":23,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. & Appl."],"published-print":{"date-parts":[[2007,1]]},"DOI":"10.1137\/060649070","type":"journal-article","created":{"date-parts":[[2006,12,26]],"date-time":"2006-12-26T16:06:15Z","timestamp":1167149175000},"page":"15-32","source":"Crossref","is-referenced-by-count":22,"title":["Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra"],"prefix":"10.1137","volume":"29","author":[{"given":"Andrew V.","family":"Knyazev","sequence":"first","affiliation":[]},{"given":"Merico E.","family":"Argentati","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144502415960"},{"key":"R6","first-page":"172","volume":"19","author":"Davis C.","year":"1958","journal-title":"Acta Sci. Math. (Szeged)"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/0707001"},{"key":"R8","doi-asserted-by":"crossref","first-page":"298","DOI":"10.21136\/CMJ.1973.101168","volume":"23","author":"Fiedler M.","year":"1973","journal-title":"Czechoslovak Math. J.","ISSN":"http:\/\/id.crossref.org\/issn\/0011-4642","issn-type":"print"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(95)00199-2"},{"key":"R12","first-page":"125","volume":"2","author":"Halmos P. R.","year":"1950","journal-title":"Summa Brasil. Math."},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1969-0251519-5"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.24033\/bsmf.90"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827500366124"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827500377332"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2005.06.032"},{"key":"R20","first-page":"38","volume":"15","author":"Knyazev A. V.","year":"2001","journal-title":"Electron. Trans. Numer. Anal.","ISSN":"http:\/\/id.crossref.org\/issn\/1097-4067","issn-type":"print"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1137\/040613044"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1137\/S154034590241370X"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-02-02973-2"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(94)90486-3"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1080\/03081089508818377"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(97)10080-5"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1137\/0718026"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(94)90446-4"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1137\/040607605"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1080\/03081089908818613"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(03)00483-X"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/060649070","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,7]],"date-time":"2021-08-07T02:57:06Z","timestamp":1628305026000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/060649070"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,1]]}},"alternative-id":["10.1137\/060649070"],"URL":"https:\/\/doi.org\/10.1137\/060649070","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,1]]}}}