Preconditioned conjugate- and secant-Newton methods for non-linear problems

Papadrakakis, M; Gantes, CJ

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Gantes, CJ	en
dc.date.accessioned	2014-03-01T01:07:38Z
dc.date.available	2014-03-01T01:07:38Z
dc.date.issued	1989	en
dc.identifier.issn	00295981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10079
dc.subject	Newton Method	en
dc.subject.other	Computer Programming	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Conjugate Gradient Methods	en
dc.subject.other	Convergence Paths	en
dc.subject.other	Newton Methods	en
dc.subject.other	Preconditioning Matrices	en
dc.subject.other	Mathematical Techniques	en
dc.title	Preconditioned conjugate- and secant-Newton methods for non-linear problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620280606	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620280606	en
heal.publicationDate	1989	en
heal.abstract	In this study the coupling of preconditioning techniques with non-linear versions of the conjugate gradient and quasi-Newton methods creates a set of conjugate- and secant-Newton methods for the solution of non-linear problems. The preconditioning matrices used to improve the ellipticity of the problem and to reduce the computer storage requirements are obtained by the application of the partial preconditioning and the partial elimination techniques. Both techniques use a drop-off parameter ψ to control the computer storage demands of the method, making it more versatile for any computer hardware environment. Consideration is given to the development of a highly effective stability test for the line search minimization routine, which computes accurate values without much effort. This results in a beneficiary effect not only on the convergence properties of the methods but on their efficiency as well.	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620280606	en
dc.identifier.volume	28	en
dc.identifier.issue	6	en
dc.identifier.spage	1299	en
dc.identifier.epage	1316	en