{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T07:35:51Z","timestamp":1787384151437,"version":"build-2736575974"},"reference-count":7,"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":[[2003,1]]},"abstract":"<jats:p>We present a new method, called reversed double ordering, for reordering arbitrary matrices prior to LU factorization. This reordering creates a variable-band matrix. We compare the fill-in of the LU factorization for sparse matrices with respect to reversed double ordering, column minimum degree ordering, and the reversed Cuthill--McKee algorithm. Moreover, we combine the first two reorderings with good success.<\/jats:p>","DOI":"10.1137\/s0895479802392989","type":"journal-article","created":{"date-parts":[[2003,12,22]],"date-time":"2003-12-22T21:00:49Z","timestamp":1072126849000},"page":"630-641","source":"Crossref","is-referenced-by-count":2,"title":["Double Ordering and Fill-In for the\n                    <i>LU<\/i>\n                    Factorization"],"prefix":"10.1137","volume":"25","author":[{"given":"Markus","family":"Baumann","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"Fleischmann","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Otto","family":"Mutzbauer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","unstructured":"M. Baumann,\n                      Lineare Gleichungssysteme mit d\u00fcnn besetzten Matrizen\n                      , Diplomarbeit, Math. Institut, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany, 2000."},{"key":"R2","unstructured":"T. Davis,\n                      University of Florida Sparse Matrix Collection\n                      , http:\/\/www.cise.ufl.edu\/research\/sparse\/matrices, ftp:\/\/ftp.cise.ufl.edu\/pub\/faculty\/davis\/matrices (1994, 1996, 1997)."},{"key":"R3","volume-title":"Direct methods for sparse matrices","author":"Duff I.","year":"1986"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/0613024"},{"key":"R5","first-page":"81","volume":"61","author":"Mader Adolf","year":"2001","journal-title":"Ars Combin."},{"key":"R6","unstructured":"MATLAB, Version 6.5.0.180913a, Release 13."},{"key":"R7","unstructured":"F. Schmitt,\n                      Doppelordnung mit Doppelzeiger\u2010Technik und Anwendungen\n                      , Diplomarbeit, Math. Institut, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany, 2001."}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479802392989","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:37:54Z","timestamp":1787333874000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0895479802392989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":7,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["10.1137\/S0895479802392989"],"URL":"https:\/\/doi.org\/10.1137\/s0895479802392989","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}