{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T12:37:52Z","timestamp":1773405472671,"version":"3.50.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1996,9,1]],"date-time":"1996-09-01T00:00:00Z","timestamp":841536000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Optim Applic"],"published-print":{"date-parts":[[1996,9]]},"DOI":"10.1007\/bf00249642","type":"journal-article","created":{"date-parts":[[2011,11,9]],"date-time":"2011-11-09T02:51:03Z","timestamp":1320807063000},"page":"117-136","source":"Crossref","is-referenced-by-count":32,"title":["Nonmonotone curvilinear line search methods for unconstrained optimization"],"prefix":"10.1007","volume":"6","author":[{"given":"M. C.","family":"Ferris","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Lucid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Roma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF00249642_CR1","unstructured":"M. Arioli, T.F. Chan, I.S. Duff, N.I.M. Gould, and J.K. Reid, \u201cComputing a search direction for large-scale linearly-constrained nonlinear optimization calculations,\u201d Technical Report TR\/PA\/93\/34, CERFACS, 1993."},{"key":"BF00249642_CR2","unstructured":"I. Bongartz, A.R. Conn, N. Gould, and Ph.L. Toint, \u201cCUTE: Constrained and unconstrained testing environment,\u201d Publications du D\u00e9partment de Math\u00e9matique Report 93\/10, Facult\u00e9s Universitaires De Namur, 1993. To appear in ACM Trans. Math. Soft."},{"key":"BF00249642_CR3","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1137\/0708060","volume":"8","author":"J.R. Bunch","year":"1971","unstructured":"J.R. Bunch and B.N. Parlett, \u201cDirect methods for solving symmetric indefinite systems of linear equations,\u201d SIAM Journal on Numerical Analysis, vol. 8, pp. 639\u2013655, 1971.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF00249642_CR4","volume-title":"Number 17 in Springer Series in Computational Mathematics","author":"A.R. Conn","year":"1992","unstructured":"A.R. Conn, N.I.M. Gould, and Ph.L. Toint, \u201cLANCELOT: A fortran package for large-scale nonlinear optimization (Release A),\u201d Number 17 in Springer Series in Computational Mathematics, Springer Verlag, Heidelberg, Berlin, 1992."},{"key":"BF00249642_CR5","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1007\/BF02592055","volume":"26","author":"R.S. Dembo","year":"1983","unstructured":"R.S. Dembo and T. Steihaug, \u201cTruncated Newton method algorithms for large-scale unconstrained optimization,\u201d Mathematical Programming, vol. 26, pp. 190\u2013212, 1983.","journal-title":"Mathematical Programming"},{"key":"BF00249642_CR6","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/BF00939608","volume":"76","author":"N.Y. Deng","year":"1993","unstructured":"N.Y. Deng, Y. Xiao, and F.J. Zhou, \u201cNonmonotonic trust region algorithm,\u201d Journal of Optimization Theory and Applications, vol. 76, pp. 259\u2013285, 1993.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"BF00249642_CR7","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1080\/10556789508805606","volume":"5","author":"S.P. Dirkse","year":"1995","unstructured":"S.P. Dirkse and M.C. Ferris, \u201cThe PATH solver: A non-monotone stabilization scheme for mixed complementarity problems,\u201d Optimization Methods & Software, vol. 5, pp. 123\u2013156, 1995.","journal-title":"Optimization Methods & Software"},{"key":"BF00249642_CR8","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/BF02190313","volume":"81","author":"M.C. Ferris","year":"1994","unstructured":"M.C. Ferris and S. Lucidi, \u201cNonmonotone stabilization methods for nonlinear equations,\u201d Journal of Optimization Theory and Applications, vol. 81, pp. 53\u201374, 1994.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"BF00249642_CR9","series-title":"Technical Report SOL 89-12","doi-asserted-by":"crossref","DOI":"10.21236\/ADA212752","volume-title":"A modified Newton method for unconstrained optimization","author":"A. Forsgren","year":"1989","unstructured":"A. Forsgren, P.E. Gill, and W. Murray, \u201cA modified Newton method for unconstrained optimization,\u201d Technical Report SOL 89\u201312, Department of Operations Research, Stanford University: Stanford, California, 1989."},{"key":"BF00249642_CR10","series-title":"Technical Report TRITA-MAT-1993-9","volume-title":"Computing modified Newton directions using a partial Cholesky factorization","author":"A. Forsgren","year":"1993","unstructured":"A. Forsgren, P.E. Gill, and W. Murray, \u201cComputing modified Newton directions using a partial Cholesky factorization,\u201d Technical Report TRITA-MAT-1993\u20139, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden, 1993."},{"key":"BF00249642_CR11","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1137\/0613022","volume":"13","author":"P.E. Gill","year":"1992","unstructured":"P.E. Gill, W. Murray, D.B. Ponc\u00e9lon, and M.A. Saunders, \u201cPreconditioners for indefinite systems arising in optimization,\u201d SIAM Journal on Matrix Analysis and Applications, vol. 13, pp. 292\u2013311, 1992.","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"key":"BF00249642_CR12","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/BF01585529","volume":"7","author":"P.E. Gill","year":"1974","unstructured":"P.E. Gill and W. Murray, \u201cNewton-type methods for unconstrained and linearly constrained optimization,\u201d Mathematical Programming, vol. 7, pp. 311\u2013350, 1974.","journal-title":"Mathematical Programming"},{"key":"BF00249642_CR13","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1137\/0723046","volume":"23","author":"L. Grippo","year":"1986","unstructured":"L. Grippo, F. Lampariello, and S. Lucidi, \u201cA nonmonotone line search technique for Newton's method,\u201d SIAM Journal on Numerical Analysis, vol. 23, pp. 707\u2013716, 1986.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF00249642_CR14","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1007\/BF01385810","volume":"59","author":"L. Grippo","year":"1991","unstructured":"L. Grippo, F. Lampariello, and S. Lucidi, \u201cA class of nonmonotone stabilization methods in unconstrained optimization,\u201d Numerische Mathematik, vol. 59, pp. 779\u2013805, 1991.","journal-title":"Numerische Mathematik"},{"key":"BF00249642_CR15","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/BF01584328","volume":"13","author":"G.P. McCormick","year":"1977","unstructured":"G.P. McCormick, \u201cA modification of Armijo's step-size rule for negative curvature,\u201d Mathematical Programming, vol. 13, pp. 111\u2013115, 1977.","journal-title":"Mathematical Programming"},{"key":"BF00249642_CR16","volume-title":"Nonlinear Programming: Theory, Algorithms and Applications","author":"G.P. McCormick","year":"1983","unstructured":"G.P. McCormick, Nonlinear Programming: Theory, Algorithms and Applications, John Wiley & Sons: New York, 1983."},{"key":"BF00249642_CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01582091","volume":"16","author":"J.J. Mor\u00e9","year":"1979","unstructured":"J.J. Mor\u00e9 and D.C. Sorensen, \u201cOn the use of directions of negative curvature in a modified Newton method,\u201d Mathematical Programming, vol. 16, pp. 1\u201320, 1979.","journal-title":"Mathematical Programming"},{"key":"BF00249642_CR18","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1137\/0721052","volume":"21","author":"S.G. Nash","year":"1984","unstructured":"S.G. Nash, \u201cNewton-type minimization via Lanczos method,\u201d SIAM Journal on Numerical Analysis, vol. 21, pp. 770\u2013788, 1984.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF00249642_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: San Diego, California, 1970."},{"key":"BF00249642_CR20","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1137\/0712047","volume":"12","author":"C.C. Paige","year":"1975","unstructured":"C.C. Paige and M.A. Saunders, \u201cSolution of sparse indefinite systems of linear equations,\u201d SIAM Journal on Numerical Analysis, vol. 12, pp. 617\u2013629, 1975.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF00249642_CR21","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1137\/0914026","volume":"14","author":"T. Schlick","year":"1993","unstructured":"T. Schlick, \u201cModified Cholesky factorization for sparse preconditioners,\u201d SIAM Journal on Scientific Computing, vol. 14, pp. 424\u2013445, 1993.","journal-title":"SIAM Journal on Scientific Computing"},{"key":"BF00249642_CR22","doi-asserted-by":"crossref","first-page":"1136","DOI":"10.1137\/0911064","volume":"11","author":"R.B. Schnabel","year":"1990","unstructured":"R.B. Schnabel and E. Eskow, \u201cA new modified Cholesky factorization,\u201d SIAM Journal on Scientific and Statistical Computing, vol. 11, pp. 1136\u20131158, 1990.","journal-title":"SIAM Journal on Scientific and Statistical Computing"},{"key":"BF00249642_CR23","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1137\/0722003","volume":"22","author":"G.A. Shultz","year":"1985","unstructured":"G.A. Shultz, R.B. Schnabel, and R.H. Byrd, \u201cA family of trust-region-based algorithms for unconstrained minimization,\u201d SIAM Journal on Numerical Analysis, vol. 22, pp. 44\u201367, 1985.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"BF00249642_CR24","first-page":"57","volume-title":"Sparse Matrices and Their Uses","author":"Ph.L. Toint","year":"1981","unstructured":"Ph.L. Toint, \u201cTowards an efficient sparsity exploiting Newton method for minimization,\u201d in I.S. Duff (Ed.), Sparse Matrices and Their Uses, Academic Press: London, pp. 57\u201388, 1981."},{"key":"BF00249642_CR25","series-title":"Technical Report 94\/14","volume-title":"An assesment of non-monotone linesearch techniques for unconstrained optimization","author":"Ph.L. Toint","year":"1994","unstructured":"Ph.L. Toint, \u201cAn assesment of non-monotone linesearch techniques for unconstrained optimization,\u201d Technical Report 94\/14, Department of Mathematics, FUNDP, Namur, Belgium, 1994."},{"key":"BF00249642_CR26","series-title":"Technical Report 94\/24","volume-title":"A non-monotone trust-region algorithm for nonlinear optimization subject to convex constraints","author":"Ph.L. Toint","year":"1994","unstructured":"Ph.L. Toint, \u201cA non-monotone trust-region algorithm for nonlinear optimization subject to convex constraints,\u201d Technical Report 94\/24, Department of Mathematics, FUNDP, Namur, Belgium, 1994."},{"key":"BF00249642_CR27","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/BF02238640","volume":"48","author":"Y. Xiao","year":"1992","unstructured":"Y. Xiao and F.J. Zhou, \u201cNonmonotone trust region methods with curvilinear path in unconstrained minimization,\u201d Computing, vol. 48, pp. 303\u2013317, 1992.","journal-title":"Computing"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00249642.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF00249642\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00249642","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,19]],"date-time":"2019-06-19T08:05:09Z","timestamp":1560931509000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF00249642"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,9]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1996,9]]}},"alternative-id":["BF00249642"],"URL":"https:\/\/doi.org\/10.1007\/bf00249642","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,9]]}}}