{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T10:19:08Z","timestamp":1649153948173},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2008,4,22]],"date-time":"2008-04-22T00:00:00Z","timestamp":1208822400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2008,10]]},"DOI":"10.1007\/s00186-008-0219-8","type":"journal-article","created":{"date-parts":[[2008,4,21]],"date-time":"2008-04-21T03:18:54Z","timestamp":1208747934000},"page":"235-256","source":"Crossref","is-referenced-by-count":1,"title":["Globalizing a nonsmooth Newton method via nonmonotone path search"],"prefix":"10.1007","volume":"68","author":[{"given":"Stephan","family":"B\u00fctikofer","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,4,22]]},"reference":[{"key":"219_CR1","volume-title":"Optimization and nonsmooth analysis","author":"FH Clarke","year":"1983","unstructured":"Clarke FH (1983) Optimization and nonsmooth analysis. Wiley, New York"},{"key":"219_CR2","first-page":"407","volume":"75","author":"T Luca De","year":"1996","unstructured":"De Luca T, Facchinei F, Kanzow C (1996) A semismooth equation approach to the solution of nonlinear complementarity problems. Math Program 75: 407\u2013439","journal-title":"Math Program"},{"key":"219_CR3","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1023\/A:1008705425484","volume":"16","author":"T Luca De","year":"2000","unstructured":"De Luca T, Facchinei F, Kanzow C (2000) Theoretical and numerical comparison of some semismooth algorithm for complementarity problems. Comput Optim Appl 16: 173\u2013205","journal-title":"Comput Optim Appl"},{"key":"219_CR4","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1080\/10556789508805606","volume":"5","author":"SP Dirkse","year":"1995","unstructured":"Dirkse SP, Ferris MC (1995) The PATH solver: a non-monotone stabilization scheme for mixed complementarity problems. Optim Methods Softw 5: 123\u2013156","journal-title":"Optim Methods Softw"},{"key":"219_CR5","volume-title":"Finite-dimensional variational inequalities and complementarity problems, vol II","author":"F Facchinei","year":"2003","unstructured":"Facchinei F, Pang J-S (2003) Finite-dimensional variational inequalities and complementarity problems, vol II. Springer, Berlin"},{"key":"219_CR6","first-page":"513","volume":"76","author":"A Fischer","year":"1997","unstructured":"Fischer A (1997) Solutions of monotone complementarity problems with locally Lipschitzian functions. Math Program B 76: 513\u2013532","journal-title":"Math Program B"},{"key":"219_CR7","unstructured":"Fusek P (1994) \u00dcber Kettenregeln in Gleichungsform f\u00fcr Ableitungen nichtglatter Funktionen. Diplomarbeit, Institut f\u00fcr angewandte Mathematik Humboldt-Universit\u00e4t zu Berlin, Berlin"},{"key":"219_CR8","doi-asserted-by":"crossref","first-page":"684","DOI":"10.1137\/0724045","volume":"24","author":"A Griewank","year":"1987","unstructured":"Griewank A (1987) The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces. SIAM J Numer Anal 24: 684\u2013705","journal-title":"SIAM J Numer Anal"},{"key":"219_CR9","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1137\/0723046","volume":"23","author":"L Grippo","year":"1986","unstructured":"Grippo L, Lampariello F, Lucidi S (1986) A nonmonotone line search technique for Newton\u2019s method. SIAM J Numer Anal 23: 707\u2013716","journal-title":"SIAM J Numer Anal"},{"key":"219_CR10","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1287\/moor.17.3.586","volume":"17","author":"S Han","year":"1992","unstructured":"Han S, Pang J, Rangaraj N (1992) Globally convergent Newton methods for nonsmooth equations. Math Oper Res 17: 586\u2013607","journal-title":"Math Oper Res"},{"key":"219_CR11","volume-title":"Nonsmooth equations in optimization","author":"D Klatte","year":"2002","unstructured":"Klatte D, Kummer B (2002) Nonsmooth equations in optimization. Kluwer, Dordrecht"},{"key":"219_CR12","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/B978-0-12-590240-3.50009-4","volume-title":"Analysis and computation of fixed points","author":"M Kojima","year":"1980","unstructured":"Kojima M (1980) Strongly stable stationary solutions in nonlinear programs. In: Robinson SM(eds) Analysis and computation of fixed points. Academic Press, New York, pp 93\u2013138"},{"key":"219_CR13","doi-asserted-by":"crossref","first-page":"352","DOI":"10.15807\/jorsj.29.352","volume":"29","author":"M Kojima","year":"1987","unstructured":"Kojima M, Shindoh S (1987) Extensions of Newton and quasi-Newton methods to systems of PC 1 equations. J Oper Res Soc Jpn 29: 352\u2013372","journal-title":"J Oper Res Soc Jpn"},{"key":"219_CR14","unstructured":"Kummer B (1988) Newton\u2019s method for non-differentiable functions. In: Guddat J et al. (eds) Advances in Mathematical Optimization. Akademie Verlag Berlin, Ser. Math. Res. vol 45, pp 114\u2013125"},{"key":"219_CR15","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/978-3-642-51682-5_12","volume-title":"Advances in optimization","author":"B Kummer","year":"1992","unstructured":"Kummer B (1992) Newton\u2019s method based on generalized derivatives for nonsmooth functions: convergence analysis. In: Oettli W, Pallaschke D(eds) Advances in optimization. Springer, Berlin, pp 171\u2013194"},{"key":"219_CR16","first-page":"209","volume":"20","author":"B Kummer","year":"2000","unstructured":"Kummer B (2000) Generalized Newton and NCP-methods: Convergence, regularity, actions. Dis Math Diff Incl 20: 209\u2013244","journal-title":"Dis Math Diff Incl"},{"key":"219_CR17","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/S0377-0427(02)00419-3","volume":"146","author":"GS Liu","year":"2002","unstructured":"Liu GS, Zhang JZ (2002) A new branch and bound algorithm for solving quadratic programs with linear complementarity constraints. J Comput Appl Math 146: 77\u201387","journal-title":"J Comput Appl Math"},{"key":"219_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2825-5","volume-title":"Nonsmooth approach to optimization problems with equilibrium constraints","author":"J Outrata","year":"1998","unstructured":"Outrata J, Kocvara M, Zowe J (1998) Nonsmooth approach to optimization problems with equilibrium constraints. Kluwer, Dordrecht"},{"issue":"2","key":"219_CR19","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1287\/moor.15.2.311","volume":"15","author":"J Pang","year":"1990","unstructured":"Pang J (1990) Newton\u2019s method for B-differentiable equations. Math Oper Res 15(2): 311\u2013341","journal-title":"Math Oper Res"},{"key":"219_CR20","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF01586928","volume":"51","author":"J Pang","year":"1991","unstructured":"Pang J (1991) A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems. Math Program 51: 101\u2013131","journal-title":"Math Program"},{"key":"219_CR21","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1137\/0801006","volume":"1","author":"J Pang","year":"1991","unstructured":"Pang J, Han S, Rangaraj N (1991) Minimization of locally Lipschitz functions. Siam J Optim 1: 57\u201382","journal-title":"Siam J Optim"},{"key":"219_CR22","unstructured":"Ponomarenko A (2003) L\u00f6sungsmethoden f\u00fcr Variationsungleichungen. Dissertation, Fachbereich Mathematik Humboldt-Universit\u00e4t zu Berlin, Berlin"},{"key":"219_CR23","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L Qi","year":"1993","unstructured":"Qi L, Sun L (1993) A nonsmooth version of Newton\u2019s method. Math Program 58: 353\u2013367","journal-title":"Math Program"},{"issue":"2","key":"219_CR24","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1287\/moor.19.2.352","volume":"19","author":"D Ralph","year":"1994","unstructured":"Ralph D (1994) Global convergence of damped Newton\u2019s method for nonsmooth equations via the path search. Math Oper Res 19(2): 352\u2013389","journal-title":"Math Oper Res"},{"key":"219_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational analysis","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar RT, Wets RJ-B (1998) Variational analysis. Springer, Berlin"},{"key":"219_CR26","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/S0377-0427(02)00420-X","volume":"146","author":"W Sun","year":"2002","unstructured":"Sun W, Han J, Sun J (2002) Global convergence of nonmonotone descent methods for unconstrained optimization problems. J Comput Appl Math 146: 89\u201398","journal-title":"J Comput Appl Math"},{"key":"219_CR27","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF01581695","volume":"65","author":"B Xiao","year":"1994","unstructured":"Xiao B, Harker PT (1994) A nonsmooth Newton method for variational inequalities, I: Theory, II: Numerical results. Math Program 65: 151\u2013216","journal-title":"Math Program"},{"key":"219_CR28","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1023\/A:1011226232107","volume":"19","author":"JZ Zhang","year":"2001","unstructured":"Zhang JZ, Liu GS (2001) A new extreme point algorithm and its application in PSQP algorithms for solving mathematical programs with linear complementarity constraints. J Global Optim 19: 345\u2013361","journal-title":"J Global Optim"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-008-0219-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-008-0219-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-008-0219-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T10:33:27Z","timestamp":1558607607000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-008-0219-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,4,22]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,10]]}},"alternative-id":["219"],"URL":"https:\/\/doi.org\/10.1007\/s00186-008-0219-8","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,4,22]]}}}