{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:21:13Z","timestamp":1760170873467},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,3,8]],"date-time":"2014-03-08T00:00:00Z","timestamp":1394236800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2015,2]]},"DOI":"10.1007\/s11075-014-9841-0","type":"journal-article","created":{"date-parts":[[2014,3,7]],"date-time":"2014-03-07T01:04:26Z","timestamp":1394154266000},"page":"213-228","source":"Crossref","is-referenced-by-count":3,"title":["A double-projection-based algorithm for large-scale nonlinear systems of monotone equations"],"prefix":"10.1007","volume":"68","author":[{"given":"Keyvan","family":"Amini","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmad","family":"Kamandi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Somayeh","family":"Bahrami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,3,8]]},"reference":[{"key":"9841_CR1","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s11075-012-9653-z","volume":"64","author":"M Ahookhosh","year":"2013","unstructured":"Ahookhosh, M., Amini, K., Bahrami, S.: Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations. Numer. Algoritm. 64, 21\u201342 (2013)","journal-title":"Numer. Algoritm."},{"key":"9841_CR2","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1093\/imanum\/8.1.141","volume":"8","author":"J Barzilai","year":"1988","unstructured":"Barzilai, J., Borwein, J.M.: Two-point step size gradient methods. IMA J. Numer. Anal. 8, 141\u2013148 (1988)","journal-title":"IMA J. Numer. Anal."},{"key":"9841_CR3","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/s11075-010-9367-z","volume":"55","author":"S Buhmiler","year":"2010","unstructured":"Buhmiler, S., Kreji\u0107, N., Lu\u017eanin, Z.: Practical quasi-Newton algorithms for singular nonlinear systems. Numer. Algoritm. 55, 481\u2013502 (2010)","journal-title":"Numer. Algoritm."},{"key":"9841_CR4","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.mcm.2009.04.007","volume":"50","author":"W Cheng","year":"2009","unstructured":"Cheng, W.: A PRP type method for systems of monotone equations. Math. Comput. Model. 50, 15\u201320 (2009)","journal-title":"Math. Comput. Model."},{"issue":"115","key":"9841_CR5","first-page":"559","volume":"25","author":"JE Dennis","year":"1971","unstructured":"Dennis, J.E.: On the convergence of Broyden\u2019s method for nonlinear systems of equations. Math. Comput. 25(115), 559\u2013567 (1971)","journal-title":"Math. Comput."},{"key":"9841_CR6","volume-title":"Numerical Methods for Unconstrained Optimization and Nonlinear Equations","author":"JE Dennis","year":"1983","unstructured":"Dennis, J.E., Schnabel, R.B.: Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall, Englewood Cliffs (1983)"},{"key":"9841_CR7","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"ED Dolan","year":"2002","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles. Math. Program. 91, 201\u2013213 (2002)","journal-title":"Math. Program."},{"key":"9841_CR8","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/j.cam.2004.02.013","volume":"172","author":"C Kanzow","year":"2004","unstructured":"Kanzow, C., Yamashita, N., Fukushima, M.: Levenberg\u2013Marquardt methods for constrained nonlinear equations with strong local convergence properties. J. Comput. Appl. Math. 172, 375\u2013397 (2004)","journal-title":"J. Comput. Appl. Math."},{"key":"9841_CR9","doi-asserted-by":"crossref","first-page":"1429","DOI":"10.1090\/S0025-5718-06-01840-0","volume":"75","author":"W La Cruz","year":"2006","unstructured":"La Cruz, W., Mart\u00ednez, J.M., Raydan, M.: Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Math. Comput. 75, 1429\u20131448 (2006)","journal-title":"Math. Comput."},{"key":"9841_CR10","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1080\/10556780310001610493","volume":"18","author":"W La Cruz","year":"2003","unstructured":"La Cruz, W., Raydan, M.: Nonmonotone spectral methods for large-scale nonlinear systems. Optim. Meth. Softw. 18, 583\u2013599 (2003)","journal-title":"Optim. Meth. Softw."},{"key":"9841_CR11","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1090\/qam\/10666","volume":"2","author":"K Levenberg","year":"1944","unstructured":"Levenberg, K.: A method for the solution of certain non-linear problems in least squares. Q. Appl. Math. 2, 164\u2013166 (1944)","journal-title":"Q. Appl. Math."},{"key":"9841_CR12","doi-asserted-by":"crossref","first-page":"1625","DOI":"10.1093\/imanum\/drq015","volume":"31","author":"Q Li","year":"2011","unstructured":"Li, Q., Li, D.H.: A class of derivative-free methods for large-scale nonlinear monotone equations. IMA J. Numer. Anal. 31, 1625\u20131635 (2011)","journal-title":"IMA J. Numer. Anal."},{"key":"9841_CR13","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"JM Ortega","year":"1970","unstructured":"Ortega, J.M., Rheinboldt, W.C.: Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York (1970)"},{"key":"9841_CR14","doi-asserted-by":"crossref","unstructured":"Solodov, M.V., Svaiter, B.F.: A globally convergent inexact Newton method for systems of monotone equations. In: Fukushima, M., Qi, L. (eds.) Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, pp. 355\u2013369. Kluwer Academic Publishers, The Netherland (1998)","DOI":"10.1007\/978-1-4757-6388-1_18"},{"key":"9841_CR15","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1016\/j.cam.2010.01.001","volume":"234","author":"QR Yan","year":"2010","unstructured":"Yan, Q.R., Peng, X.Z., Li, D.H.: A globally convergent derivative-free method for solving large-scale nonlinear monotone equations. J. Comput. Appl. Math. 234, 649\u2013657 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"9841_CR16","doi-asserted-by":"crossref","unstructured":"Zarantonello, E.H.: Projections on convex sets in Hilbert space and spectral theory. In: Zarantonello, E.H. (ed.) Contributions to Nonlinear Functional Analysis.Academic Press, New York (1971)","DOI":"10.1016\/B978-0-12-775850-3.50013-3"},{"key":"9841_CR17","doi-asserted-by":"crossref","first-page":"478","DOI":"10.1016\/j.cam.2005.10.002","volume":"196","author":"L Zhang","year":"2006","unstructured":"Zhang, L., Zhou, W.J.: Spectral gradient projection method for solving nonlinear monotone equations. J. Comput. Appl. Math. 196, 478\u2013484 (2006)","journal-title":"J. Comput. Appl. Math."},{"key":"9841_CR18","doi-asserted-by":"crossref","first-page":"962","DOI":"10.1137\/S1052623499357957","volume":"11","author":"YB Zhao","year":"2001","unstructured":"Zhao, Y.B., Li, D.: Monotonicity of fixed point and normal mappings associated with variational inequality and its application. SIAM J. Optim. 11, 962\u2013973 (2001)","journal-title":"SIAM J. Optim."},{"key":"9841_CR19","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/s10957-004-1721-7","volume":"125","author":"G Zhou","year":"2005","unstructured":"Zhou, G., Toh, K.C.: Superlinear convergence of a Newton-type algorithm for monotone equations. J. Optim. Theory Appl. 125, 205\u2013221 (2005)","journal-title":"J. Optim. Theory Appl."},{"key":"9841_CR20","first-page":"89","volume":"25","author":"WJ Zhou","year":"2007","unstructured":"Zhou, W.J., Li, D.H.: Limited memory BFGS method for nonlinear monotone equations. J. Comput. Math. 25, 89\u201396 (2007)","journal-title":"J. Comput. Math."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-014-9841-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-014-9841-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-014-9841-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,8]],"date-time":"2019-08-08T06:06:42Z","timestamp":1565244402000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-014-9841-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3,8]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["9841"],"URL":"https:\/\/doi.org\/10.1007\/s11075-014-9841-0","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3,8]]}}}