A tensor trust-region model for nonlinear system View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-12

AUTHORS

Songhua Wang, Shulun Liu

ABSTRACT

It has turned out that the tensor expansion model has better approximation to the objective function than models of the normal second Taylor expansion. This paper conducts a study of the tensor model for nonlinear equations and it includes the following: (i) a three dimensional symmetric tensor trust-region subproblem model of the nonlinear equations is presented; (ii) the three dimensional symmetric tensor is replaced by interpolating function and gradient values from the most recent past iterate, which avoids the storage of the three dimensional symmetric tensor and decreases the workload of the computer; (iii) the limited BFGS quasi-Newton update is used instead of the second Jacobian matrix, which generates an inexpensive computation of a complex system; (iv) the global convergence is proved under suitable conditions. Numerical experiments are done to show that this proposed algorithm is competitive with the normal algorithm. More... »

PAGES

343

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-018-1935-0

DOI

http://dx.doi.org/10.1186/s13660-018-1935-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110565590

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30839853


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