期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2022
卷号：2022
DOI：10.1155/2022/3527623
语种：English
出版社：Hindawi Publishing Corporation
摘要：One of the more restrictive methods of improvement is the augmented Lagrange method. Two versions are built in the external framework and the internal framework of the proposed method. The first basic version of the proposed algorithm includes a new derivation of Lagrange multiples and different penalty criteria, and the second version is the internal framework in which the unconstrained algorithm known as the conjugate gradient (CG) method was incorporated; also, a new parameter was derived in the search direction. The numerical results are indicative of the stability, efficiency, and speed of the proposed algorithm, based on performance profiles provided by Dolan and More.
