{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T14:24:30Z","timestamp":1725805470448},"publisher-location":"Berlin, Heidelberg","reference-count":9,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662450482"},{"type":"electronic","value":"9783662450499"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-662-45049-9_19","type":"book-chapter","created":{"date-parts":[[2014,9,19]],"date-time":"2014-09-19T06:07:14Z","timestamp":1411106834000},"page":"117-122","source":"Crossref","is-referenced-by-count":2,"title":["On the Convergence of Levenberg-Marquardt Method for Solving Nonlinear Systems"],"prefix":"10.1007","author":[{"given":"Minglei","family":"Fang","sequence":"first","affiliation":[]},{"given":"Feng","family":"Xu","sequence":"additional","affiliation":[]},{"given":"Zhibin","family":"Zhu","sequence":"additional","affiliation":[]},{"given":"Lihua","family":"Jiang","sequence":"additional","affiliation":[]},{"given":"Xianya","family":"Geng","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"19_CR1","doi-asserted-by":"publisher","first-page":"1032","DOI":"10.1016\/j.amc.2006.07.004","volume":"184","author":"C. Ma","year":"2007","unstructured":"Ma, C., Jiang, L.: Some Research on Levenberg-Marquardt Method for the Nonlinear Equations. Applied Mathematics and Computation\u00a0184, 1032\u20131040 (2007)","journal-title":"Applied Mathematics and Computation"},{"key":"19_CR2","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1137\/0111030","volume":"11","author":"D.W. Marquardt","year":"1963","unstructured":"Marquardt, D.W.: An Algorithm for Least-squares Estimation of Nonlinear Inequalities. SIAM Journal Applied Mathematics\u00a011, 431\u2013441 (1963)","journal-title":"SIAM Journal Applied Mathematics"},{"key":"19_CR3","volume-title":"Numerical Methods for Unconstrained Optimization and Nonlinear Equations","author":"J.E. Dennis","year":"1983","unstructured":"Dennis, J.E., Schnabel, R.B.: Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall, Englewood Cliffs (1983)"},{"key":"19_CR4","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1016\/j.amc.2008.10.056","volume":"207","author":"J. Fan","year":"2009","unstructured":"Fan, J., Pan, J.: A Note on the Levenberg-Marquardt Parameter. Applied Mathematics and Computation\u00a0207, 351\u2013359 (2009)","journal-title":"Applied Mathematics and Computation"},{"key":"19_CR5","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1145\/355934.355936","volume":"7","author":"J.J. Mor","year":"1981","unstructured":"Mor, J.J., Garbow, B.S., Hillstrom, K.H.: Testing Unconstrained Optimization Software. ACM Trans. on Mathematics Software\u00a07, 17\u201341 (1981)","journal-title":"ACM Trans. on Mathematics Software"},{"key":"19_CR6","first-page":"164","volume":"2","author":"K. Levenberg","year":"1944","unstructured":"Levenberg, K.: A Method for the Solution of Nonlinear Problems in Least Squares, Quart. Applied Mathematics\u00a02, 164\u2013166 (1944)","journal-title":"Applied Mathematics"},{"key":"19_CR7","first-page":"239","volume":"15","author":"N. Yamashita","year":"2001","unstructured":"Yamashita, N., Fukushima, M.: On the Rate of Convergence of the Levenberg-Marquardt Method. Computing\u00a015, 239\u2013249 (2001)","journal-title":"Computing"},{"key":"19_CR8","first-page":"55","volume":"27","author":"Y. Liu","year":"2005","unstructured":"Liu, Y., Chen, Y.: On the Convergence of a New Levenberg-Marquardt Method. Mathematica Numerica Sinica\u00a027, 55\u201362 (2005)","journal-title":"Mathematica Numerica Sinica"},{"key":"19_CR9","volume-title":"Optimization Theory and Method","author":"Y.X. Yuan","year":"1997","unstructured":"Yuan, Y.X., Sun, W.Y.: Optimization Theory and Method. Scince Press, Beijing (1997)"}],"container-title":["Communications in Computer and Information Science","Bio-Inspired Computing - Theories and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-45049-9_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,27]],"date-time":"2019-05-27T18:52:06Z","timestamp":1558983126000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-45049-9_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783662450482","9783662450499"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-45049-9_19","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2014]]}}}