{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T20:41:27Z","timestamp":1729629687134,"version":"3.28.0"},"reference-count":38,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,8]]},"DOI":"10.1109\/icacci.2013.6637270","type":"proceedings-article","created":{"date-parts":[[2013,10,29]],"date-time":"2013-10-29T23:21:09Z","timestamp":1383088869000},"page":"764-769","source":"Crossref","is-referenced-by-count":0,"title":["A Novel Algorithm for determinant calculation of N×N matrix"],"prefix":"10.1109","author":[{"given":"Sayed Mostafa","family":"Taheri","sequence":"first","affiliation":[]},{"given":"Jafar","family":"Boostanpour","sequence":"additional","affiliation":[]},{"given":"Bahareh","family":"Mohammadi","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2003.08.019"},{"key":"17","first-page":"488","article-title":"Numerical methods for zeros and determinant of polynomial matrix","author":"scaron","year":"1996","journal-title":"Proc IEEE Mediterranean Symp New Directions Control Automation"},{"key":"35","first-page":"267","article-title":"Expansion of determinants in terms of minors","author":"de laplace","year":"1772","journal-title":"Researches sur le Calcul Int?egral et sur le Syst?eme du Monde Histoire de L'Acad?emie Royale des Sciences (Paris) Seconde Partie"},{"key":"18","article-title":"Exact determinant of integer matrices","author":"ogita","year":"2010","journal-title":"4th International Workshop on Reliable Engineering Computing (REC 2010)"},{"key":"36","first-page":"281","author":"collins","year":"1913","journal-title":"ADVANCED ALGEBRA"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/81.795848"},{"key":"33","first-page":"18","volume":"13","author":"hanus","year":"1886","journal-title":"An Elementary Treatise on the Theory of Determinants"},{"key":"16","article-title":"Reliable algorithms for polynomial matrices","author":"henrion","year":"1998","journal-title":"Inst Inf Theory Automat"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.2307\/2005828"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(84)90018-8"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(88)90166-4"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1023\/B:CASA.0000020222.77742.9f"},{"year":"0","key":"37"},{"key":"12","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1109\/SFCS.2000.892335","article-title":"On computing the determinant and smith form of an integer matrix","author":"eberly","year":"0","journal-title":"Foundations of Computer Science 2000 Proceedings 41st Annual Symposium on"},{"year":"0","key":"38"},{"key":"21","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s004530010003","article-title":"Efficient exact evaluation of signs of determinant","volume":"27","author":"bronnimann","year":"2000","journal-title":"Algorithmica"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1007\/s00037-004-0185-3"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1992.267751"},{"key":"23","first-page":"151","article-title":"Computing the determinants by reducing the orders by four","volume":"10","author":"gjonbalaj","year":"2010","journal-title":"Applied Mathematics E-Notes"},{"key":"24","first-page":"211","article-title":"Dardan hajrizaj","volume":"3","year":"2009","journal-title":"International Journal of Algebra"},{"key":"25","first-page":"131","author":"barnard","year":"1959","journal-title":"Higher Algebra"},{"journal-title":"The Theory of Determinants and their Applications","first-page":"3","year":"1904","key":"26"},{"key":"27","first-page":"7","author":"ferrar","year":"1957","journal-title":"Algebra A Text-Book of Determinants Matrices and Algebraic Forms"},{"key":"28","first-page":"8","author":"weld","year":"1893","journal-title":"A Short Course in the Theory of Determinants"},{"journal-title":"Me&acute moire sur les Fonctions Connues Sous le Nom de Re?sultantes Ou de De?terminants","year":"1853","author":"chio","key":"29"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/ICCSEE.2012.108"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2004.03.003"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1145\/800125.804044"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1145\/309831.309934"},{"key":"7","article-title":"Determinant expansion by minors","author":"weisstein","year":"0","journal-title":"From MathWorldA Wolfram web resource"},{"key":"30","first-page":"405","author":"eves","year":"1990","journal-title":"An Introduction to the History of Mathematics"},{"journal-title":"How to Compute Determinants Computer Based Learning Unit","year":"0","author":"drakos","key":"6"},{"journal-title":"Computation of Matrix","year":"2008","author":"jiang","key":"5"},{"key":"32","first-page":"163","author":"matematika","year":"2000","journal-title":"Universiteti i Prishtines Fakulteti Elektroteknik"},{"key":"4","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1016\/j.amc.2009.04.009","article-title":"Computing the determinants of matrix pade? approximation","volume":"214","author":"shen","year":"2009","journal-title":"J Compt Appl Math"},{"key":"31","first-page":"129","author":"eves","year":"1996","journal-title":"Chio's Expansion in Elementary Matrix Theory"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1145\/321864.321868"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177731489"}],"event":{"name":"2013 International Conference on Advances in Computing, Communications and Informatics (ICACCI)","start":{"date-parts":[[2013,8,22]]},"location":"Mysore","end":{"date-parts":[[2013,8,25]]}},"container-title":["2013 International Conference on Advances in Computing, Communications and Informatics (ICACCI)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6621059\/6637135\/06637270.pdf?arnumber=6637270","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T01:02:06Z","timestamp":1498093326000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6637270\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8]]},"references-count":38,"URL":"https:\/\/doi.org\/10.1109\/icacci.2013.6637270","relation":{},"subject":[],"published":{"date-parts":[[2013,8]]}}}