Truncated Newton-Lanczos method for overcoming limit and bifurcation points

Papadrakakis, M

dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:07:47Z
dc.date.available	2014-03-01T01:07:47Z
dc.date.issued	1990	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10169
dc.subject	lanczos method	en
dc.subject	Truncated Newton	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Computer Programming	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Bifurcation Points	en
dc.subject.other	Newton-Lanczos Method	en
dc.subject.other	Mathematical Techniques	en
dc.title	Truncated Newton-Lanczos method for overcoming limit and bifurcation points	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620290511	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620290511	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	In this study procedures for overcoming limit and bifurcation points in large-scale structural analysis problems are described and evaluated. The methods are based on Newton's method for the outer iterations, while for the linearized problem in each iteration the preconditioned truncated Lanczos method is employed. Special care is placed upon line search routines for accelerating the convergence properties and enhancing the stability of the outer method. The proposed methodology retains all characteristics of an iterative method by avoiding the factorization of the current stiffness matrix. The necessary eigenvalue information is retained in the tridiagonal matrix of the Lanczos approach.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620290511	en
dc.identifier.isi	ISI:A1990DB69700010	en
dc.identifier.volume	29	en
dc.identifier.issue	5	en
dc.identifier.spage	1065	en
dc.identifier.epage	1077	en