Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large or very ill-conditioned problems

Papadrakakis, M; Bitoulas, N

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Bitoulas, N	en
dc.date.accessioned	2014-03-01T02:47:59Z
dc.date.available	2014-03-01T02:47:59Z
dc.date.issued	1991	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33492
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026379145&partnerID=40&md5=4c1da94d86e9b0102e60bea9c81afb2c	en
dc.subject.other	Algebra	en
dc.subject.other	Computers	en
dc.subject.other	Finite element method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Structural analysis	en
dc.subject.other	Algebraic system of equations	en
dc.subject.other	Classical iterative refinement approach	en
dc.subject.other	Conjugate gradient iterations	en
dc.subject.other	Ill-conditioned problems	en
dc.subject.other	Iterative refinement scheme	en
dc.subject.other	Mixed precision calculations	en
dc.subject.other	Preconditioned conjugate gradient algorithm	en
dc.subject.other	Mechanics	en
dc.title	Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large or very ill-conditioned problems	en
heal.type	conferenceItem	en
heal.publicationDate	1991	en
heal.abstract	Different implementations of the preconditioned conjugate gradient method are presented for solving large or very ill-conditioned algebraic systems of equations resulting from the finite element method. A special implementation based on mixed precision calculations proved to be robust in performance and reliable in accuracy as well as storage effective. Additionally a new type of iterative refinement scheme is introduced to improve the accuracy of direct methods based on conjugate gradient iterations which is found to be a significant improvement on the classical iterative refinement approach.	en
heal.publisher	Publ by ASME, New York, NY, United States	en
heal.journalName	American Society of Mechanical Engineers, Computer Engineering Division, CED	en
dc.identifier.volume	4	en
dc.identifier.spage	13	en
dc.identifier.epage	26	en