{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T00:50:29Z","timestamp":1787273429793,"version":"build-2736575974"},"reference-count":10,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2001,1]]},"abstract":"<jats:p>The exponential of a matrix and the spectral decomposition of a matrix can be computed knowing nothing more than the eigenvalues of the matrix and the Cayley--Hamilton theorem. The arrangement of the ideas in this paper is simple enough to be taught to beginning students of ODEs.<\/jats:p>","DOI":"10.1137\/s0036144599362406","type":"journal-article","created":{"date-parts":[[2005,9,7]],"date-time":"2005-09-07T21:00:16Z","timestamp":1126126816000},"page":"694-706","source":"Crossref","is-referenced-by-count":20,"title":["Matrix Exponentials---Another Approach"],"prefix":"10.1137","volume":"43","author":[{"suffix":"Jr.","given":"William A.","family":"Harris","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jay P.","family":"Fillmore","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Donald R.","family":"Smith","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,4]]},"reference":[{"key":"R1","unstructured":"T. M. Apostol (1997),\n                      Linear Algebra\u2014A First Course, with Applications to Differential Equations\n                      , Wiley, New York."},{"key":"R2","volume-title":"A comprehensive introduction to linear algebra","author":"Broida Joel","year":"1989"},{"key":"R3","unstructured":"R. Bronson (1989),\n                      2500 Solved Problems in Differential Equations\n                      , 2nd. ed., Schaum\u2019s Solved Problems Series, McGraw\u2010Hill, New York, 1989."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144597319235"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1975.11993793"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144595286488"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/1020098"},{"key":"R8","volume-title":"An intruduction to the theory of canonical matrices","author":"Turnbull H.","year":"1961"},{"key":"R9","doi-asserted-by":"crossref","unstructured":"J. H. Wilkinson and C. Reinsch (1971),\n                      Linear Algebra\n                      , Handbook for Automatic Computation 2, Springer\u2010Verlag, Berlin.","DOI":"10.1007\/978-3-662-39778-7"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/1012005"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036144599362406","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:53:25Z","timestamp":1787237605000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0036144599362406"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["10.1137\/S0036144599362406"],"URL":"https:\/\/doi.org\/10.1137\/s0036144599362406","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}