{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T11:08:35Z","timestamp":1760267315137},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,9,14]],"date-time":"2014-09-14T00:00:00Z","timestamp":1410652800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2015,7]]},"DOI":"10.1007\/s11075-014-9912-2","type":"journal-article","created":{"date-parts":[[2014,9,12]],"date-time":"2014-09-12T23:30:59Z","timestamp":1410564659000},"page":"553-567","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["On preconditioned modified Newton-MHSS method for systems of nonlinear equations with complex symmetric jacobian matrices"],"prefix":"10.1007","volume":"69","author":[{"given":"Hong-Xiu","family":"Zhong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guo-Liang","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue-Ping","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,9,14]]},"reference":[{"key":"9912_CR1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1103\/RevModPhys.74.99","volume":"74","author":"IS Aranson","year":"2002","unstructured":"Aranson, I.S., Kramer, L.: The world of the complex Ginzburg-Landau equation. Rev. Mod. Phys. 74, 99\u2013143 (2002)","journal-title":"Rev. Mod. Phys."},{"key":"9912_CR2","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s00607-010-0077-0","volume":"87","author":"Z-Z Bai","year":"2010","unstructured":"Bai, Z.-Z., Benzi, M., Chen, F.: Modified HSS iteration methods for a class of complex symmetric linear systems. Computing 87, 93\u2013111 (2010)","journal-title":"Computing"},{"key":"9912_CR3","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s11075-010-9441-6","volume":"56","author":"Z-Z Bai","year":"2011","unstructured":"Bai, Z.-Z., Benzi, M., Chen, F.: On preconditioned MHSS iteration methods for complex symmetric linear systems. Numer. Algor. 56, 297\u2013317 (2011)","journal-title":"Numer. Algor."},{"key":"9912_CR4","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 method for non-Hermitian positive-definite linear systems. SIAM J. Matrix Anal. Appl. 24, 603\u2013626 (2003)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9912_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00211-004-0521-1","volume":"98","author":"Z-Z Bai","year":"2004","unstructured":"Bai, Z.-Z., Golub, G.H., Pan, J.-Y.: Preconditioned Hermitian skew-Hermitian splitting method for non-Hermitian positive-definite linear systems. Numer. Math. 98, 1\u201332 (2004)","journal-title":"Numer. Math."},{"key":"9912_CR6","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1090\/S0025-5718-06-01892-8","volume":"76","author":"Z-Z Bai","year":"2007","unstructured":"Bai, Z.-Z., Golub, G.H., Li, C.-K.: Convergence properties of preconditioned Hermitian and skew-Hermitian splitting method for non-Hermitian positive-definite linear systems. Math. Comput. 76, 287\u2013298 (2007)","journal-title":"Math. Comput."},{"key":"9912_CR7","doi-asserted-by":"crossref","first-page":"844","DOI":"10.1137\/S1064827503428114","volume":"26","author":"Z-Z Bai","year":"2005","unstructured":"Bai, Z.-Z., Golub, G.H., Lu, L.-Z., Yin, J.-F.: Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. SIAM J. Sci. Comput. 26, 844\u2013863 (2005)","journal-title":"SIAM J. Sci. Comput."},{"key":"9912_CR8","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1137\/050623644","volume":"28","author":"Z-Z Bai","year":"2006","unstructured":"Bai, Z.-Z., Golub, G.H., Li, C.-K.: Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. SIAM J. Sci. Comput. 28, 583\u2013603 (2006)","journal-title":"SIAM J. Sci. Comput."},{"key":"9912_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1093\/imanum\/drl017","volume":"27","author":"Z-Z Bai","year":"2007","unstructured":"Bai, Z.-Z., Golub, G.H.: Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. IMA J. Numer. Anal. 27, 1\u201323 (2007)","journal-title":"IMA J. Numer. Anal."},{"key":"9912_CR10","doi-asserted-by":"crossref","first-page":"235","DOI":"10.4208\/jcm.2009.10-m2836","volume":"28","author":"Z-Z Bai","year":"2010","unstructured":"Bai, Z.-Z., Guo, X.-P.: On Newton-HSS method for systems of nonlinear equations with positive-definite Jacobian matrices. J. Comput. Math. 28, 235\u2013260 (2010)","journal-title":"J. Comput. Math."},{"key":"9912_CR11","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1023\/B:BITN.0000014548.26616.65","volume":"43","author":"M Benzi","year":"2003","unstructured":"Benzi, M., Gander, M.J., Golub, G.H.: Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. BIT Numer. Math. 43, 881\u2013900 (2003)","journal-title":"BIT Numer. Math."},{"key":"9912_CR12","doi-asserted-by":"crossref","unstructured":"Bohr, T., Hensen, M.H., Paladin, G., Vulpiani, A.: Dynamical Systems Approach to Turbulence, Cambridge University Press, Cambridge (1998)","DOI":"10.1017\/CBO9780511599972"},{"key":"9912_CR13","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.cam.2013.12.047","volume":"264","author":"M-H Chen","year":"2014","unstructured":"Chen, M.-H., Lin, R.-F., Wu, Q.-B.: Convergence analysis of the modified Newton-HSS method under the H\u00f6lder continuous condition. J. Comput. Appl. Math. 264, 115\u2013130 (2014)","journal-title":"J. Comput. Appl. Math."},{"key":"9912_CR14","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1016\/j.amc.2006.08.080","volume":"187","author":"MT Darvishi","year":"2007","unstructured":"Darvishi, M.T., Barati, A.: A third-order Newton-type method to solve systems of nonlinear equations. Appl. Math. Comput. 187, 630\u2013635 (2007)","journal-title":"Appl. Math. Comput."},{"key":"9912_CR15","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1137\/0719025","volume":"19","author":"RS Dembo","year":"1982","unstructured":"Dembo, R.S., Eisenstat, S.C., Steihaug, T.: Inexact Newton methods. SIAM J. Numer. Anal. 19, 400\u2013408 (1982)","journal-title":"SIAM J. Numer. Anal."},{"key":"9912_CR16","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1137\/0804022","volume":"4","author":"SC Eisenstat","year":"1994","unstructured":"Eisenstat, S.C., Walker, H.F.: Globally convergent inexact Newton methods. SIAM J. Optim. 4, 297\u2013330 (1994)","journal-title":"SIAM J. Optim."},{"key":"9912_CR17","first-page":"231","volume":"25","author":"X-P Guo","year":"2007","unstructured":"Guo, X.-P.: On semilocal convergence of inexact Newton methods. J. Comput. Math. 25, 231\u2013242 (2007)","journal-title":"J. Comput. Math."},{"key":"9912_CR18","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1002\/nla.713","volume":"18","author":"X-P Guo","year":"2011","unstructured":"Guo, X.-P., Duff, I.S.: Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations. Numer. Linear Algebra Appl. 18, 299\u2013315 (2011)","journal-title":"Numer. Linear Algebra Appl."},{"key":"9912_CR19","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970944","volume-title":"Iterative Methods for Linear and Nonlinear Equations","author":"CT Kelley","year":"1995","unstructured":"Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. SIAM, Philadelphia (1995)"},{"key":"9912_CR20","volume-title":"Oscillations, Chemical Waves, and Turbulence","author":"Y Kuramoto","year":"2003","unstructured":"Kuramoto, Y.: Oscillations, Chemical Waves, and Turbulence. Dover, Mineola (2003)"},{"key":"9912_CR21","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables,","author":"JM Ortega","year":"1970","unstructured":"Ortega, J.M., Rheinbolt, W.C.: Iterative Solution of Nonlinear Equations in Several Variables, . Academic Press, NewYork (1970)"},{"key":"9912_CR22","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718003","volume-title":"Iterative Methods for Sparse Linear Systems","author":"Y Saad","year":"2003","unstructured":"Saad, Y.: Iterative Methods for Sparse Linear Systems, 2nd edn. SIAM, Philadelphia (2003)","edition":"2"},{"key":"9912_CR23","volume-title":"The Nonlinear Schr\u00f6dinger Equation, Self-focusing and Wave Collapse","author":"C Sulem","year":"1999","unstructured":"Sulem, C., Sulem, P.L.: The Nonlinear Schr\u00f6dinger Equation, Self-focusing and Wave Collapse. Springer, New York (1999)"},{"key":"9912_CR24","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1007\/s11075-012-9684-5","volume":"64","author":"Q-B Wu","year":"2013","unstructured":"Wu, Q.-B., Chen, M.-H.: Convergence analysis of modified Newton-HSS method for solving systems of nonlinear equations. Numer. Algor. 64, 659\u2013683 (2013)","journal-title":"Numer. Algor."},{"key":"9912_CR25","doi-asserted-by":"crossref","first-page":"839","DOI":"10.3934\/naco.2012.2.839","volume":"2","author":"A-L Yang","year":"2012","unstructured":"Yang, A.-L., Wu, Y.-J.: Newton-MHSS methods for solving systems of nonlinear equations with complex symmetric Jacobian matrices. Numer. Algebra, Control. Optim. 2, 839\u2013853 (2012)","journal-title":"Numer. Algebra, Control. Optim."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-014-9912-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-014-9912-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-014-9912-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,14]],"date-time":"2019-08-14T23:19:51Z","timestamp":1565824791000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-014-9912-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,14]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,7]]}},"alternative-id":["9912"],"URL":"https:\/\/doi.org\/10.1007\/s11075-014-9912-2","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,14]]}}}