dc.contributor.author | Bartholomew-Biggs, Michael | |
dc.contributor.author | Beddiaf, Salah | |
dc.contributor.author | Christianson, Bruce | |
dc.date.accessioned | 2022-09-08T15:00:03Z | |
dc.date.available | 2022-09-08T15:00:03Z | |
dc.date.issued | 2022-08-26 | |
dc.identifier.citation | Bartholomew-Biggs , M , Beddiaf , S & Christianson , B 2022 , ' Global Convergence of a Curvilinear Search for Non-Convex Optimization ' , Numerical Algorithms . https://doi.org/10.1007/s11075-022-01375-y | |
dc.identifier.issn | 1017-1398 | |
dc.identifier.uri | http://hdl.handle.net/2299/25753 | |
dc.description | © 2022 Springer. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1007/s11075-022-01375-y | |
dc.description.abstract | For a non-convex function f : R^n → R with gradient g and Hessian H, define a step vector p(μ,x) as a function of scalar parameter μ and position vector x by the equation (H(x) + μI)p(μ, x) = −g(x). Under mild conditions on f, we construct criteria for selecting μ so as to ensure that the algorithm x := x + p(μ, x) descends to a second order stationary point of f, and avoids saddle points. | en |
dc.format.extent | 378455 | |
dc.language.iso | eng | |
dc.relation.ispartof | Numerical Algorithms | |
dc.subject | Nonlinear optimization; Newton-like methods; Non-convex functions | |
dc.subject | Mathematics(all) | |
dc.title | Global Convergence of a Curvilinear Search for Non-Convex Optimization | en |
dc.contributor.institution | Department of Physics, Astronomy and Mathematics | |
dc.contributor.institution | School of Physics, Engineering & Computer Science | |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.contributor.institution | Centre for Computer Science and Informatics Research | |
dc.description.status | Peer reviewed | |
dc.date.embargoedUntil | 2023-08-26 | |
rioxxterms.versionofrecord | 10.1007/s11075-022-01375-y | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |