{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T10:58:10Z","timestamp":1760266690625},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2006,7,18]],"date-time":"2006-07-18T00:00:00Z","timestamp":1153180800000},"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":[[2006,11,13]]},"DOI":"10.1007\/s11075-006-9028-4","type":"journal-article","created":{"date-parts":[[2006,7,17]],"date-time":"2006-07-17T12:56:22Z","timestamp":1153140982000},"page":"207-228","source":"Crossref","is-referenced-by-count":21,"title":["A modified damped Newton method for linear complementarity problems"],"prefix":"10.1007","volume":"42","author":[{"given":"Zhong-Zhi","family":"Bai","sequence":"first","affiliation":[]},{"given":"Jun-Liang","family":"Dong","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,7,18]]},"reference":[{"key":"9028_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0898-1221(96)00172-1","volume":"32","author":"Z.-Z. Bai","year":"1996","unstructured":"Bai, Z.-Z.: The convergence of parallel iteration algorithms for linear complementarity problems. Comput. Math. Appl. 32, 1\u201317 (1996)","journal-title":"Comput. Math. Appl."},{"key":"9028_CR2","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/S0377-0427(98)00010-7","volume":"92","author":"Z.-Z. Bai","year":"1998","unstructured":"Bai, Z.-Z.: Asynchronous parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems. Appl. Math. Comput. 92, 85\u2013100 (1998)","journal-title":"Appl. Math. Comput."},{"key":"9028_CR3","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S0377-0427(98)00280-5","volume":"93","author":"Z.-Z. Bai","year":"1998","unstructured":"Bai, Z.-Z.: A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems. J. Comput. Appl. Math. 93, 35\u201344 (1998)","journal-title":"J. Comput. Appl. Math."},{"key":"9028_CR4","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1093\/imanum\/18.4.509","volume":"18","author":"Z.-Z. Bai","year":"1998","unstructured":"Bai, Z.-Z.: On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem. IMA J. Numer. Anal. 18, 509\u2013518 (1998)","journal-title":"IMA J. Numer. Anal."},{"key":"9028_CR5","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1137\/S0895479897324032","volume":"21","author":"Z.-Z. Bai","year":"1999","unstructured":"Bai, Z.-Z.: On the convergence of the multisplitting methods for the linear complementarity problem. SIAM J. Matrix Anal. Appl. 21, 67\u201378 (1999)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9028_CR6","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1080\/00207169708804569","volume":"63","author":"Z.-Z. Bai","year":"1997","unstructured":"Bai, Z.-Z., Evans, D.J.: Matrix multisplitting relaxation methods for linear complementarity problems. Int. J. Comput. Math. 63, 309\u2013326 (1997)","journal-title":"Int. J. Comput. Math."},{"key":"9028_CR7","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/S0377-0427(98)00111-3","volume":"96","author":"Z.-Z. Bai","year":"1998","unstructured":"Bai, Z.-Z., Evans, D.J.: Chaotic iterative methods for the linear complementarity problems. J. Comput. Appl. Math. 96, 127\u2013138 (1998)","journal-title":"J. Comput. Appl. Math."},{"key":"9028_CR8","first-page":"125","volume":"13","author":"Z.-Z. Bai","year":"2001","unstructured":"Bai, Z.-Z., Evans, D.J.: Matrix multisplitting methods with applications to linear complementarity problems: Parallel synchronous and chaotic methods. R\u00e9seaux et syst\u00e8mes r\u00e9partis: Calculateurs Parallel\u00e8s 13, 125\u2013154 (2001)","journal-title":"R\u00e9seaux et syst\u00e8mes r\u00e9partis: Calculateurs Parallel\u00e8s"},{"key":"9028_CR9","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1080\/00207160211927","volume":"79","author":"Z.-Z. Bai","year":"2002","unstructured":"Bai, Z.-Z., Evans, D.J.: Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods. Int. J. Comput. Math. 79, 205\u2013232 (2002)","journal-title":"Int. J. Comput. Math."},{"key":"9028_CR10","first-page":"773","volume":"21","author":"Z.-Z. Bai","year":"2003","unstructured":"Bai, Z.-Z., Huang, Y.-G.: A class of asynchronous parallel multisplitting relaxation methods for large sparse linear complementarity problems. J. Comput. Math. 21, 773\u2013790 (2003)","journal-title":"J. Comput. Math."},{"key":"9028_CR11","first-page":"97","volume":"20","author":"Z.-Z. Bai","year":"2002","unstructured":"Bai, Z.-Z., Huang, Y.-G.: Relaxed asynchronous iterations for the linear complementarity problem. J. Comput. Math. 20, 97\u2013112 (2002)","journal-title":"J. Comput. Math."},{"key":"9028_CR12","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1137\/S0895479801395458","volume":"24","author":"Z.-Z. Bai","year":"2003","unstructured":"Bai, Z.-Z., Golub, G.H., Ng, M.K.: Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. SIAM J. Matrix Anal. Appl. 24, 603\u2013626 (2003)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9028_CR13","first-page":"683","volume":"34","author":"Z.-Z. Bai","year":"1995","unstructured":"Bai, Z.-Z., Wang, D.-R.: Schubert's method for sparse system of B-differentiable equations. J. Fudan Univ. (Natural Sci.) 34, 683\u2013690 (1995)","journal-title":"J. Fudan Univ. (Natural Sci.)"},{"key":"9028_CR14","volume-title":"Nonnegative Matrices in the Mathematical Sciences","author":"A. Berman","year":"1979","unstructured":"Berman, A., Plemmons, R.J.: Nonnegative Matrices in the Mathematical Sciences. Academic, New York (1979)"},{"key":"9028_CR15","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/S0377-0427(00)00432-5","volume":"124","author":"S.C. Billups","year":"2000","unstructured":"Billups, S.C., Murty, K.G.: Complementarity problems. J. Comput. Appl. Math. 124, 303\u2013318 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"9028_CR16","first-page":"32","volume":"43","author":"X. Chen","year":"2000","unstructured":"Chen, X.: Smoothing methods for complementarity problems and their applications: A survey. J. Oper. Res. Soc. Jpn. 43, 32\u201347 (2000)","journal-title":"J. Oper. Res. Soc. Jpn."},{"key":"9028_CR17","volume-title":"The Linear Complementarity Problem","author":"R.W. Cottle","year":"1992","unstructured":"Cottle, R.W., Pang, J.-S., Stone, R.E.: The Linear Complementarity Problem. Academic, San Diego (1992)"},{"key":"9028_CR18","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1137\/0309028","volume":"9","author":"C.W. Cryer","year":"1971","unstructured":"Cryer, C.W.: The solution of a quadratic programming using systematic overrelaxation. SIAM J. Control 9, 385\u2013392 (1971)","journal-title":"SIAM J. Control"},{"key":"9028_CR19","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1007\/BF02192160","volume":"86","author":"A. Fischer","year":"1995","unstructured":"Fischer, A.: A Newton-type method for positive-semidefinite linear complementarity problems. J. Optim. Theory Appl. 86, 585\u2013608 (1995)","journal-title":"J. Optim. Theory Appl."},{"key":"9028_CR20","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/BF01385865","volume":"63","author":"A. Frommer","year":"1992","unstructured":"Frommer, A., Szyld, D.B.: $H$ -splitting and two-stage iterative methods. Numer. Math. 63, 345\u2013356 (1992)","journal-title":"Numer. Math."},{"key":"9028_CR21","first-page":"265","volume-title":"Computational Solution of Nonlinear Systems of Equations, Lectures in Applied Mathematics, vol. 26","author":"P.T. Harker","year":"1990","unstructured":"Harker, P.T., Pang, J.-S.: A damped-Newton method for the linear complementarity problem. In: Allgower, G., Georg K. (eds.) Computational Solution of Nonlinear Systems of Equations, Lectures in Applied Mathematics, vol. 26, pp. 265\u2013284. American Mathematical Society, Providence, RI (1990)"},{"key":"9028_CR22","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.cam.2004.11.018","volume":"181","author":"M.-Q. Jiang","year":"2005","unstructured":"Jiang, M.-Q., Dong, J.-L.: On convergence of two-stage splitting methods for linear complementarity problems. J. Comput. Appl. Math. 181, 58\u201369 (2005)","journal-title":"J. Comput. Appl. Math."},{"key":"9028_CR23","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1137\/S0895479894273134","volume":"17","author":"C. Kanzow","year":"1996","unstructured":"Kanzow, C.: Some noninterior continuation methods for linear complementarity problems. SIAM J. Matrix Anal. Appl. 17, 851\u2013868 (1996)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9028_CR24","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970944","volume-title":"Iterative Methods for Linear and Nonlinear Equations","author":"C.T. Kelley","year":"1995","unstructured":"Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. SIAM, Philadelphia (1995)"},{"key":"9028_CR25","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0377-0427(94)00103-2","volume":"62","author":"N. Machida","year":"1995","unstructured":"Machida, N., Fukushima, M., Ibaraki, T.: A multisplitting method for symmetric linear complementarity problems. J. Comput. Appl. Math. 62, 217\u2013227 (1995)","journal-title":"J. Comput. Appl. Math."},{"key":"9028_CR26","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1007\/BF01268170","volume":"22","author":"O.L. Mangasarian","year":"1977","unstructured":"Mangasarian, O.L.: Solutions of symmetric linear complementarity problems by iterative methods. J. Optim. Theory Appl. 22, 465\u2013485 (1977)","journal-title":"J. Optim. Theory Appl."},{"key":"9028_CR27","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1137\/0801009","volume":"1","author":"O.L. Mangasarian","year":"1991","unstructured":"Mangasarian, O.L.: Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. SIAM J. Optim. 1, 114\u2013122 (1991)","journal-title":"SIAM J. Optim."},{"key":"9028_CR28","volume-title":"Linear Complementarity, Linear and Nonlinear Programming","author":"K.G. Murty","year":"1988","unstructured":"Murty, K.G.: Linear Complementarity, Linear and Nonlinear Programming. Heldermann Verlag, Berlin (1988)"},{"key":"9028_CR29","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"J.M. Ortega","year":"1970","unstructured":"Ortega, J.M., Rheinboldt, W.C.: Iterative Solution of Nonlinear Equations in Several Variables. Academic, New York (1970)"},{"key":"9028_CR30","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/BF00934765","volume":"37","author":"J.-S. Pang","year":"1982","unstructured":"Pang, J.-S.: On the convergence of a basic iterative method for the implicit complementarity problem. J. Optim. Theory Appl. 37, 149\u2013162 (1982)","journal-title":"J. Optim. Theory Appl."},{"key":"9028_CR31","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1007\/BF02591989","volume":"36","author":"J.-S. Pang","year":"1986","unstructured":"Pang, J.-S.: Inexact Newton methods for the nonlinear complementarity problem. Math. Program. 36, 54\u201371 (1986)","journal-title":"Math. Program."},{"key":"9028_CR32","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1287\/moor.15.2.311","volume":"15","author":"J.-S. Pang","year":"1990","unstructured":"Pang, J.-S.: Newton's methods for $B$ -differentiable equations. Math. Oper. Res. 15, 311\u2013341 (1990)","journal-title":"Math. Oper. Res."},{"key":"9028_CR33","volume-title":"Matrix Iterative Analysis","author":"R.S. Varga","year":"1962","unstructured":"Varga, R.S.: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, New Jersey (1962)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-006-9028-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-006-9028-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-006-9028-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T01:08:07Z","timestamp":1559351287000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-006-9028-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7,18]]},"references-count":33,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2006,11,13]]}},"alternative-id":["9028"],"URL":"https:\/\/doi.org\/10.1007\/s11075-006-9028-4","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7,18]]}}}