{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T16:20:34Z","timestamp":1725466834509},"publisher-location":"Berlin\/Heidelberg","reference-count":13,"publisher":"Springer-Verlag","isbn-type":[{"type":"print","value":"3540230270"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-27170-8_34","type":"book-chapter","created":{"date-parts":[[2005,7,20]],"date-time":"2005-07-20T19:11:19Z","timestamp":1121886679000},"page":"451-460","source":"Crossref","is-referenced-by-count":0,"title":["Newton-Type Methods for Nonlinear Least Squares Using Restricted Second Order Information"],"prefix":"10.1007","author":[{"given":"Hubert","family":"Schwetlick","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"unstructured":"K. Adam, Quadratische Modelle zur L\u00f6sung nichtlinearer Quadratmit-telprobleme, Diplomarbeit, Institut f\u00fcr Numerische Mathematik, Techn. Univ. Dresden, Germany, 1996.","key":"34_CR1"},{"key":"34_CR2","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1007\/BF00940566","volume":"48","author":"M. -Baali Al","year":"1986","unstructured":"M. Al-Baali and R. Fletcher, An efficient line search for nonlinear least squares, J. Optim. Theory Appl., 48 (1986), pp. 359\u2013377.","journal-title":"J. Optim. Theory Appl."},{"key":"34_CR3","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719857","volume-title":"Trust-Region Methods","author":"A. R. Conn","year":"2000","unstructured":"A. R. Conn, N. I. M. Gould, and P. L. Toint, Trust-Region Methods, SIAM, Philadelphia, 2000."},{"key":"34_CR4","doi-asserted-by":"publisher","first-page":"348","DOI":"10.1145\/355958.355965","volume":"7","author":"J. E. Dennis","year":"1981","unstructured":"J. E. Dennis, D. Gay, and R. Welsch, An adaptive nonlinear least squares algorithm, ACM Trans. Math. Software, 7 (1981), pp. 348\u2013368.","journal-title":"ACM Trans. Math. Software"},{"key":"34_CR5","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/BF00962795","volume":"61","author":"J. E. Dennis","year":"1989","unstructured":"J. E. Dennis, H. J. Mart\u00ednez, and R. A. Tapia, A convergence theory for the structured BFGS secant method with an application to nonlinear least squares, J. Optim. Theory Appl., 61 (1989), pp. 159\u2013176.","journal-title":"J. Optim. Theory Appl."},{"key":"34_CR6","volume-title":"Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation","author":"A. Griewank","year":"2000","unstructured":"A. Griewank, Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation, SIAM, Philadelphia, 2000."},{"key":"34_CR7","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/S0024-3795(97)10018-0","volume":"275\/276","author":"R. L\u00f6sche","year":"1998","unstructured":"R. L\u00f6sche, H. Schwetlick, and G. Timmermann, A modified block Newton iteration for approximating an invariant subspace of a symmetric matrix, Linear Algebra Appl., 275\/276 (1998), pp. 381\u2013400.","journal-title":"Linear Algebra Appl."},{"key":"34_CR8","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1145\/355934.355936","volume":"7","author":"J. J. Mor\u00e9","year":"1981","unstructured":"J. J. Mor\u00e9, B. S. Garbow, and K. E. Hillstrom, Testing unconstrained optimization software, ACM Trans. Math. Software, 7 (1981), pp. 17\u201341.","journal-title":"ACM Trans. Math. Software"},{"key":"34_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/1022001","volume":"22","author":"L. Nazareth","year":"1980","unstructured":"L. Nazareth, Some recent approaches to solving large residual nonlinear least squares problems, SIAM Rev., 22 (1980), pp. 1\u201311.","journal-title":"SIAM Rev."},{"key":"34_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/b98874","volume-title":"Numerical Optimization","author":"J. Nocedal","year":"1999","unstructured":"J. Nocedal and S. J. Wright, Numerical Optimization, Springer, New York, 1999."},{"key":"34_CR11","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"J. M. Ortega","year":"1970","unstructured":"J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, London, 1970. Republished 2000 by SIAM, Philadelphia."},{"key":"34_CR12","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1007\/BF00938543","volume":"57","author":"E. Spedicato","year":"1988","unstructured":"E. Spedicato and M. T. Vespucci, Numerical experiments with variations of the Gauss-Newton algorithm for nonlinear least squares, J. Optim. Theory Appl., 57 (1988), pp. 323\u2013339.","journal-title":"J. Optim. Theory Appl."},{"key":"34_CR13","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1080\/10556789308805538","volume":"2","author":"H. Yabe","year":"1993","unstructured":"H. Yabe, Variations of structured Broyden families for nonlinear least squares problems, Optimization Methods and Software, 2 (1993), pp. 107\u2013144.","journal-title":"Optimization Methods and Software"}],"container-title":["Modeling, Simulation and Optimization of Complex Processes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-27170-8_34.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T17:31:28Z","timestamp":1619544688000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-27170-8_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["3540230270"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-27170-8_34","relation":{},"subject":[]}}