On the final steps of Newton and higher order methods

Steihaug, Trond; Suleiman, Sara

doi:10.1007/s11590-015-0899-y

Optim Lett

2015

DOI: 10.1007/s11590-015-0899-y

|View full text |Cite

On the final steps of Newton and higher order methods

Trond Steihaug

Sara Suleiman

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…• The article [12] by Steihaug and Suleiman discusses final steps of Newton and higher order methods. The local behavior for the unconstrained optimization problem is investigated by considering problems with two unknowns and it is shown that there are no significant differences in the region where the global method turns into a local search for second and third order methods.…”

mentioning

confidence: 99%

Preface to the Special Issue “Recent developments in non-linear and global optimization”

Sergeyev

2016

Optim Lett

View full text Add to dashboard Cite

Non-linear and global optimization is a rapidly growing field of optimization dealing with theoretical, computational, and applied aspects of problems arising when people face the necessity to find optimal in some sense solutions. The importance of non-linear models continuously increases in our more and more complex world. As a consequence of this growing complexity very often objective functions are not only non-linear but also multiextremal, i.e., they can have several local optima and it is required to find the global one since the global solution can give a significant improvement with respect to the local ones.The core of this special issue consists of papers presented at the International Conference "Numerical Computations: Theory and Algorithms" held in Falerna, Italy in June 2013. The goal of the Conference was to create a multidisciplinary round table for an open discussion on numerical computations by using traditional and emerging computational paradigms. Numerical algorithms for solving non-linear and global optimization problems were among the main topics of the conference.Below we give a brief presentation of papers included in this special issue.• The paper [1] by Lucidi, Maurici, Paulon, Rinaldi, and Roma proposes a derivativefree approach for a simulation-based optimization problem in healthcare. Hospitals have been challenged in recent years to deliver high quality care with limited resources. Given the pressure to contain costs, developing procedures for optimal resource allocation becomes more and more critical in this context. The authors develop a simulation-based optimization approach for the resource planning of a specific hospital ward and report results or a real-world problem coming from B Yaroslav D. Sergeyev

show abstract

mentioning

confidence: 99%

Preface to the Special Issue “Recent developments in non-linear and global optimization”

Sergeyev

2016

Optim Lett

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On the final steps of Newton and higher order methods

Cited by 1 publication

References 27 publications

Preface to the Special Issue “Recent developments in non-linear and global optimization”

Preface to the Special Issue “Recent developments in non-linear and global optimization”

Contact Info

Product

Resources

About