{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T23:33:44Z","timestamp":1772753624289,"version":"3.50.1"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1984,7,1]],"date-time":"1984-07-01T00:00:00Z","timestamp":457488000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1984,7]]},"DOI":"10.1007\/bf02591997","type":"journal-article","created":{"date-parts":[[2007,3,29]],"date-time":"2007-03-29T11:34:53Z","timestamp":1175168093000},"page":"268-296","source":"Crossref","is-referenced-by-count":12,"title":["A new linesearch algorithm for nonlinear least squares problems"],"prefix":"10.1007","volume":"29","author":[{"given":"Per","family":"Lindstr\u00f6m","sequence":"first","affiliation":[]},{"given":"Per-\u00c5ke","family":"Wedin","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02591997_CR1","volume-title":"Algorithms for minimization without derivatives","author":"R.P. Brent","year":"1973","unstructured":"R.P. Brent,Algorithms for minimization without derivatives (Prentice Hall, Englewood Cliffs, NJ, 1973)."},{"key":"BF02591997_CR2","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1145\/355958.355965","volume":"7","author":"J.E. Dennis","year":"1981","unstructured":"J.E. Dennis, D.M. Gay and R.E. Welsch, \u201cAn adaptive nonlinear least-squares algorithm\u201d,ACM Transactions on Mathematical Software 7 (1981) 348\u2013368.","journal-title":"ACM Transactions on Mathematical Software"},{"key":"BF02591997_CR3","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1137\/0715063","volume":"15","author":"P.E. Gill","year":"1978","unstructured":"P.E. Gill and W. Murray, \u201cAlgorithms for the solution of the nonlinear least squares problem\u201d,SIAM Journal of Numerical Analysis 15 (1978) 977\u2013992.","journal-title":"SIAM Journal of Numerical Analysis"},{"key":"BF02591997_CR4","series-title":"Report NAC","volume-title":"Safeguarded steplength algorithms for optimization using descent methods","author":"P.E. Gill","year":"1974","unstructured":"P.E. Gill and W. Murray, \u201cSafeguarded steplength algorithms for optimization using descent methods\u201d, Report NAC 37 (National Physical Laboratory, England, 1974)."},{"key":"BF02591997_CR5","series-title":"Technical report SOL 79-25","volume-title":"Two steplength algorithms for numerical optimization","author":"P.E. Gill","year":"1979","unstructured":"P.E. Gill, W. Murray, M.A. Saunders and M.H. Wright, \u201cTwo steplength algorithms for numerical optimization\u201d, Technical report SOL 79-25, Department of Operations Research, Stanford University (Stanford, CA, 1979)."},{"key":"BF02591997_CR6","volume-title":"Practical optimization","author":"P.E. Gill","year":"1981","unstructured":"P.E. Gill, W. Murray and M.H. Wright,Practical optimization (Academic Press, London, 1981)."},{"key":"BF02591997_CR7","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1093\/comjnl\/10.1.82","volume":"10","author":"P. Jarrat","year":"1967","unstructured":"P. Jarrat, \u201cAn iterative method for locating turning points\u201d,Computer Journal 10 (1967) 82\u201384.","journal-title":"Computer Journal"},{"key":"BF02591997_CR8","volume-title":"Elementary mathematics from an advanced standpoint, Arithmetic, Algebra, Analysis","author":"F. Klein","year":"1945","unstructured":"F. Klein,Elementary mathematics from an advanced standpoint, Arithmetic, Algebra, Analysis (translation from the 3rd German edition) (Dover, New York, 1945)."},{"key":"BF02591997_CR9","volume-title":"Methods for unconstrained optimization problems","author":"J. Kowalik","year":"1968","unstructured":"J. Kowalik and M.R. Osborne, Methods for unconstrained optimization problems (American Elsevier, New York, 1968)."},{"key":"BF02591997_CR10","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1090\/qam\/10666","volume":"2","author":"K. Levenberg","year":"1944","unstructured":"K. Levenberg, \u201cA method for the solution of certain nonlinear problems in least squares\u201d,Quarterly Applied Mathematics 2 (1944) 164\u2013168.","journal-title":"Quarterly Applied Mathematics"},{"key":"BF02591997_CR11","volume-title":"Algorithms for nonlinear least squares\u2014particularly problems with constraints","author":"P. Lindstr\u00f6m","year":"1983","unstructured":"P. Lindstr\u00f6m, \u201cAlgorithms for nonlinear least squares\u2014particularly problems with constraints\u201d, Ph.D. Thesis, University of Ume\u00e5 (Ume\u00e5. Sweden, 1983)."},{"key":"BF02591997_CR12","series-title":"Report UMINF-82.81","volume-title":"A new linesearch algorithm for nonlinear least squares","author":"P. Lindstr\u00f6m","year":"1983","unstructured":"P. Lindstr\u00f6m and P.-\u00c5. Wedin, \u201cA new linesearch algorithm for nonlinear least squares\u201d, Report UMINF-82.81 (revised) University of Ume\u00e5 (Ume\u00e5. Sweden, 1983)."},{"key":"BF02591997_CR13","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1137\/0111030","volume":"11","author":"D.W. Marquardt","year":"1963","unstructured":"D.W. Marquardt, \u201cAn algorithm for least squares estimation of nonlinear parameters\u201d,SIAM Journal on Applied Mathematics 11 (1963) 431\u2013441.","journal-title":"SIAM Journal on Applied Mathematics"},{"key":"BF02591997_CR14","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BFb0067700","volume-title":"Proceedings of the 1977 Dundee conference on Numerical Analysis","author":"J.J. Mor\u00e9","year":"1978","unstructured":"J.J. Mor\u00e9, \u201cThe Levenberg-Marquardt algorithm: Implementation and theory\u201d, in: G.A. Watson, ed.,Proceedings of the 1977 Dundee conference on Numerical Analysis, Lecture Notes in Mathematics 630 (Springer, Berlin, 1978) pp. 105\u2013116."},{"key":"BF02591997_CR15","doi-asserted-by":"crossref","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, \u201cTesting unconstrained optimization software\u201d,ACM Transactions on Mathematical Software 7 (1981) 17\u201341.","journal-title":"ACM Transactions on Mathematical Software"},{"key":"BF02591997_CR16","unstructured":"NAG Fortran Libray Manual (mark 9), The routines E04GBF, E04FVC, E04HEV (Numerical Algorithms Group Limited, Oxford, England, 1980)."},{"key":"BF02591997_CR17","volume-title":"L\u00e4robok i algebra","author":"T. Nagell","year":"1957","unstructured":"T. Nagell,L\u00e4robok i algebra (Almqvist-Wiksell, Uppsala, 1957) (in Swedish)."},{"key":"BF02591997_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/1022001","volume":"22","author":"L. Nazareth","year":"1980","unstructured":"L. Nazareth, \u201cSome recent approaches to solving large residual nonlinear least squares problems\u201d,SIAM Review 22 (1980) 1\u201311.","journal-title":"SIAM Review"},{"key":"BF02591997_CR19","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, NY, 1970)."},{"key":"BF02591997_CR20","series-title":"Report 1870","volume-title":"An efficient weak line search with guaranteed termination","author":"M.R. Osborne","year":"1978","unstructured":"M.R. Osborne, \u201cAn efficient weak line search with guaranteed termination\u201d, Report 1870, Mathematics Research Center, University of Wisconsin (Madison, Wisconsin, 1978)."},{"key":"BF02591997_CR21","volume-title":"Computational methods in optimization, a unified approach","author":"E. Polak","year":"1971","unstructured":"E. Polak,Computational methods in optimization, a unified approach (Academic Press, New York, 1971)."},{"key":"BF02591997_CR22","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1007\/BF01932400","volume":"17","author":"H. Ramsin","year":"1977","unstructured":"H. Ramsin and P.-\u00c5. Wedin, \u201cA comparision of some algorithms for the nonlinear least squares problem\u201d,BIT 17 (1977) 72\u201390.","journal-title":"BIT"},{"key":"BF02591997_CR23","volume-title":"Computational solution of nonlinear operator equations","author":"L.B. Rall","year":"1969","unstructured":"L.B. Rall,Computational solution of nonlinear operator equations (Wiley, New York, 1969)."},{"key":"BF02591997_CR24","unstructured":"M.A. Saunders, Private communication, June 1981."},{"key":"BF02591997_CR25","volume-title":"Differential geometry","author":"J.J. Stoker","year":"1969","unstructured":"J.J. Stoker,Differential geometry (Wiley, New York, 1969)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02591997.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02591997\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02591997","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T19:37:51Z","timestamp":1558381071000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02591997"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1984,7]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1984,7]]}},"alternative-id":["BF02591997"],"URL":"https:\/\/doi.org\/10.1007\/bf02591997","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1984,7]]}}}