An efficient method for the solution of systems of linear equations based on planerotation transformations

Spyropoulos, CP; Theocaris, PS

dc.contributor.author	Spyropoulos, CP	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:23Z
dc.date.available	2014-03-01T01:06:23Z
dc.date.issued	1985	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9344
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0021941420&partnerID=40&md5=2e46460c007c35d6b93ac50bdcfbd351	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	COMPUTER PROGRAMMING - Algorithms	en
dc.subject.other	MATHEMATICAL TRANSFORMATIONS	en
dc.subject.other	PLANE-ROTATION TRANSFORMATIONS	en
dc.subject.other	ELASTICITY	en
dc.title	An efficient method for the solution of systems of linear equations based on planerotation transformations	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	An algorithm is presented based on Givens or plane-rotation transformations for solving systems of simultaneous linear equations frequently appearing in problems of the theory of elasticity for which the accuracy of the obtained results is critical in order to gain valuable information of the related problems. This algorithm is compared with Crout's method with an iterative process for convergence (N.A.G. Library routine FO4AEA) and the algorithm based on Householder transformations presented by Businger and Golub[1], after a slight modification, in order to perform one major step less and avoid column interchanges. They have been tested on the same data and the Givens transformations method proved to be the most efficient of all, both in accuracy and in run time. © 1985.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.isi	ISI:A1985AVA3900020	en
dc.identifier.volume	21	en
dc.identifier.issue	6	en
dc.identifier.spage	1293	en
dc.identifier.epage	1301	en