@Article{CSIAM-AM-1-142,
author = {Sogabe , T.Suzuki , A. and Zhang , S.-L.},
title = {An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2020},
volume = {1},
number = {1},
pages = {142--154},
abstract = {<p style="text-align: justify;">An implicit evaluation method of vector 2-norms is presented for function
evaluations arising from sphere constrained quadratic optimizations. The efficiency of
the method in terms of computational costs mainly comes from the well-known shifted
conjugate gradient method, and the robustness of the method comes from the fact that
it never suffers from cancellations when the coefficient matrix is symmetric positive
definite. Numerical experiments indicates that the method is promising for reducing
computational costs of Ye&#39;s hybrid method for solving sphere constrained quadratic
optimizations.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2020-0008},
url = {http://global-sci.org/intro/article_detail/csiam-am/16796.html}
}