{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:45:17Z","timestamp":1753886717133,"version":"3.41.2"},"reference-count":19,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,12,12]],"date-time":"2011-12-12T00:00:00Z","timestamp":1323648000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71071162","70921001"],"award-info":[{"award-number":["71071162","70921001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71071162","70921001"],"award-info":[{"award-number":["71071162","70921001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>A modified spectral PRP conjugate gradient method is presented\nfor solving unconstrained optimization problems. The constructed search direction\nis proved to be a sufficiently descent direction of the objective function. With an\nArmijo\u2010type line search to determinate the step length, a new spectral PRP conjugate\nalgorithm is developed. Under some mild conditions, the theory of global convergence is established. Numerical results demonstrate that this algorithm is promising,\nparticularly, compared with the existing similar ones.<\/jats:p>","DOI":"10.1155\/2012\/641276","type":"journal-article","created":{"date-parts":[[2011,12,12]],"date-time":"2011-12-12T21:00:56Z","timestamp":1323723656000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Global Convergence of a Modified Spectral Conjugate Gradient Method"],"prefix":"10.1155","volume":"2012","author":[{"given":"Huabin","family":"Jiang","sequence":"first","affiliation":[]},{"given":"Songhai","family":"Deng","sequence":"additional","affiliation":[]},{"given":"Xiaodong","family":"Zheng","sequence":"additional","affiliation":[]},{"given":"Zhong","family":"Wan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,12,12]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.03.020"},{"key":"e_1_2_7_2_2","first-page":"319","article-title":"Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization","volume":"34","author":"Andrei N.","year":"2011","journal-title":"Bulletin of the Malaysian Mathematical Sciences Society"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-001-0003-0"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2008.03.020"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1137\/0802003"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5610(97)00002-6"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/b98874"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(69)90035-4"},{"key":"e_1_2_7_9_2","first-page":"47","article-title":"A restricted Polak-Ribi\u00e8re conjugate gradient method and its global convergence","volume":"31","author":"Shi Z. 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