%0 Journal Article %1 dennis1977quasinewton %A Dennis, J. E. %A Moré, Jorge J. %D 1977 %J SIAM Review %K 65h10-systems-of-nonlinear-algebraic-equations %N 1 %P 46--89 %R 10.1137/1019005 %T Quasi-Newton Methods, Motivation and Theory %U https://epubs.siam.org/doi/10.1137/1019005 %V 19 %X This paper is an attempt to motivate and justify quasi-Newton methods as useful modifications of Newton's method for general and gradient nonlinear systems of equations. References are given to ample numerical justification; here we give an overview of many of the important theoretical results and each is accompanied by sufficient discussion to make the results and hence the methods plausible.

@article{dennis1977quasinewton, abstract = {This paper is an attempt to motivate and justify quasi-Newton methods as useful modifications of Newton's method for general and gradient nonlinear systems of equations. References are given to ample numerical justification; here we give an overview of many of the important theoretical results and each is accompanied by sufficient discussion to make the results and hence the methods plausible.}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Dennis, J. E. and Moré, Jorge J.}, biburl = {https://www.bibsonomy.org/bibtex/26a561feb22ec55f1a7edebbad5fa97cd/gdmcbain}, citeulike-article-id = {13480846}, citeulike-attachment-1 = {dennis_77_quasinewton_1000655.pdf; /pdf/user/gdmcbain/article/13480846/1000655/dennis_77_quasinewton_1000655.pdf; d9687aad40a93a3d91ba0f69c1e4d52201d2fb85}, citeulike-linkout-0 = {http://dx.doi.org/10.1137/1019005}, doi = {10.1137/1019005}, file = {dennis_77_quasinewton_1000655.pdf}, interhash = {6651c2641c2b000f45007d109d9cd155}, intrahash = {6a561feb22ec55f1a7edebbad5fa97cd}, issn = {0036-1445}, journal = {SIAM Review}, keywords = {65h10-systems-of-nonlinear-algebraic-equations}, month = jan, number = 1, pages = {46--89}, posted-at = {2015-01-12 22:52:38}, priority = {2}, timestamp = {2020-08-26T03:37:12.000+0200}, title = {Quasi-{N}ewton Methods, Motivation and Theory}, url = {https://epubs.siam.org/doi/10.1137/1019005}, volume = 19, year = 1977 }