乐胖代购免代理版

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The optimal values of the scaling parameters are obtained by minimizing the measure function involving all the eigenvalues of the memoryless BFGS matrix. The optimal values can be used in the analysis of the quasi\u2010Newton method for ill\u2010conditioned matrices. This algorithm can also be described as a combination of the projection technique and memoryless BGFS method. Global convergence of the method is provided. For validation and efficiency of the scheme, some test problems are computed and compared with existing results.<\/jats:p>","DOI":"10.1002\/nla.2374","type":"journal-article","created":{"date-parts":[[2021,3,20]],"date-time":"2021-03-20T10:08:59Z","timestamp":1616234939000},"update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["A derivative\u2010free scaling memoryless Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno method for solving a system of monotone nonlinear equations"],"prefix":"10.1002","volume":"28","author":[{"given":"Najib","family":"Ullah","sequence":"first","affiliation":[{"name":"Department of Mathematics COMSATS University Islamabad Islamabad Pakistan"}]},{"given":"Jamilu","family":"Sabi'u","sequence":"additional","affiliation":[{"name":"Department of Mathematics COMSATS University Islamabad Islamabad Pakistan"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-0337-1216","authenticated-orcid":false,"given":"Abdullah","family":"Shah","sequence":"additional","affiliation":[{"name":"Department of Mathematics COMSATS University Islamabad Islamabad Pakistan"}]}],"member":"311","published-online":{"date-parts":[[2021,3,20]]},"reference":[{"volume-title":"Iterative solution of nonlinear equations in several variables","year":"1970","author":"Ortega JM","key":"e_1_2_9_2_1"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0985-0"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1080\/02331939708844339"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623499357957"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1974-0343581-1"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1137\/1019005"},{"key":"e_1_2_9_8_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002270"},{"key":"e_1_2_9_9_1","first-page":"53","volume-title":"Nonlinear programming, SIAM\u2010AMS proceedings","author":"Powell MJD","year":"1976"},{"key":"e_1_2_9_10_1","doi-asserted-by":"publisher","DOI":"10.1137\/0726042"},{"key":"e_1_2_9_11_1","doi-asserted-by":"publisher","DOI":"10.1137\/0724077"},{"key":"e_1_2_9_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-003-0421-7"},{"key":"e_1_2_9_13_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623401383455"},{"key":"e_1_2_9_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00540-9"},{"key":"e_1_2_9_15_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623499354242"},{"key":"e_1_2_9_16_1","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2016.1225211"},{"key":"e_1_2_9_17_1","doi-asserted-by":"publisher","DOI":"10.1137\/0802026"},{"key":"e_1_2_9_18_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623400307950"},{"key":"e_1_2_9_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940702"},{"key":"e_1_2_9_20_1","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.20.5.845"},{"key":"e_1_2_9_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580654"},{"key":"e_1_2_9_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01588962"},{"key":"e_1_2_9_23_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623496308801"},{"key":"e_1_2_9_24_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-017-0321-1"},{"key":"e_1_2_9_25_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2017.10.009"},{"key":"e_1_2_9_26_1","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/8.3.315"},{"key":"e_1_2_9_27_1","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/12.3.337"},{"key":"e_1_2_9_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(96)00050-8"},{"key":"e_1_2_9_29_1","doi-asserted-by":"crossref","unstructured":"OrenSS.Self\u2010scaling variable metric algorithms for unconstrained minimization [Ph.D. thesis]. 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