{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T08:07:58Z","timestamp":1772784478846,"version":"3.50.1"},"reference-count":16,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. & Appl."],"published-print":{"date-parts":[[1996,7]]},"DOI":"10.1137\/s0895479895283409","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T12:15:07Z","timestamp":1109506507000},"page":"610-620","source":"Crossref","is-referenced-by-count":40,"title":["A Chain Rule for Matrix Functions and Applications"],"prefix":"10.1137","volume":"17","author":[{"given":"Roy","family":"Mathias","sequence":"first","affiliation":[]}],"member":"351","reference":[{"key":"R1","volume-title":"Numerical Analysis","author":"Burden R.","year":"1993"},{"key":"R2","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1090\/trans2\/047\/08","volume":"47","author":"Dalecki Ju. L.","year":"1965","journal-title":"Amer. Math. Soc. Transl. Ser. 2"},{"key":"R3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/trans2\/047\/01","volume":"47","author":"Dalecki Ju. L.","year":"1965","journal-title":"Amer. Math. Soc. Transl. Ser. 2"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(88)90234-0"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90394-7"},{"key":"R6","first-page":"537","volume":"46","author":"Higham Nicholas J.","year":"1986","journal-title":"Math. Comp."},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511840371"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/0912027"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0612020"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/0613044"},{"key":"R11","doi-asserted-by":"crossref","DOI":"10.2307\/2531754","volume-title":"Matrix differential calculus with applications in statistics and econometrics","author":"Magnus Jan R.","year":"1988"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1007\/BF01385857"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/0133001"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/1020098"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.2307\/2306996"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1137\/0901013"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479895283409","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T01:50:31Z","timestamp":1586137831000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S0895479895283409"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,7]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1996,7]]}},"alternative-id":["10.1137\/S0895479895283409"],"URL":"https:\/\/doi.org\/10.1137\/s0895479895283409","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,7]]}}}