article · Optimization methods & software · 1998
A new nonlinear ABS-type algorithm and its efficiency analysis∗
Cited by 2Abstract and details only
Abstract
As a continuation work following [4] and [5], a new ABS-type algorithm for a nonlinear system of equations is proposed. A major iteration of this algorithm requires n component evaluations and only one gradient evaluation. We prove that the algorithm is superlinearly convergent with R-order at least τ n , where τ n is the unique positive root of τn −τn−1 −1=0. It is shown that the new algorithm is usually more efficient than the methods of Newton, Brown and Brent, and the ABS-type algorithms in [1], [4] and [5], in the sense of some standard efficiency measure.
Cite this paper
Deng, N., & Chen, Z. (1998). A new nonlinear ABS-type algorithm and its efficiency analysis∗. Optimization methods & software, 10(1), 71–85. https://doi.org/10.1080/10556789808805702
Deng, Naiyang, and Z. Chen. “A new nonlinear ABS-type algorithm and its efficiency analysis∗.” Optimization methods & software, vol. 10, no. 1, 1998, pp. 71–85, https://doi.org/10.1080/10556789808805702.
Deng, Naiyang, and Z. Chen. 1998. “A new nonlinear ABS-type algorithm and its efficiency analysis∗.” Optimization methods & software 10 (1): 71–85. https://doi.org/10.1080/10556789808805702.
Deng, N. and Chen, Z. (1998) ‘A new nonlinear ABS-type algorithm and its efficiency analysis∗’, Optimization methods & software, 10(1), pp. 71–85. Available at: https://doi.org/10.1080/10556789808805702.
@article{deng1998nonlinear,
title = {{A new nonlinear ABS-type algorithm and its efficiency analysis∗}},
author = {Deng, Naiyang and Chen, Z.},
journal = {Optimization methods & software},
volume = {10},
number = {1},
pages = {71--85},
year = {1998},
doi = {10.1080/10556789808805702}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.