{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T23:21:46Z","timestamp":1771543306421,"version":"3.50.1"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,6,30]],"date-time":"2017-06-30T00:00:00Z","timestamp":1498780800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41004052"],"award-info":[{"award-number":["41004052"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s00521-017-3088-3","type":"journal-article","created":{"date-parts":[[2017,6,30]],"date-time":"2017-06-30T11:42:01Z","timestamp":1498822921000},"page":"553-576","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Applying modified cuckoo search algorithm for solving systems of nonlinear equations"],"prefix":"10.1007","volume":"31","author":[{"given":"Xinming","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Qian","family":"Wan","sequence":"additional","affiliation":[]},{"given":"Youhua","family":"Fan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,6,30]]},"reference":[{"issue":"2","key":"3088_CR1","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1016\/j.amc.2006.08.080","volume":"187","author":"MT Darvishi","year":"2007","unstructured":"Darvishi MT, Barati A (2007) A third-order Newton-type method to solve systems of nonlinear equations. Appl Math Comput 187(2):630\u2013635","journal-title":"Appl Math Comput"},{"issue":"2","key":"3088_CR2","doi-asserted-by":"publisher","first-page":"1068","DOI":"10.1016\/j.asoc.2007.05.013","volume":"8","author":"YZ Luo","year":"2008","unstructured":"Luo YZ, Tang GJ, Zhou LN (2008) Hybrid approach for solving systems of nonlinear equations using chaos optimization and quasi-Newton method. Appl Soft Comput 8(2):1068\u20131073","journal-title":"Appl Soft Comput"},{"key":"3088_CR3","first-page":"212","volume":"15","author":"M Abdollahi","year":"2013","unstructured":"Abdollahi M, Isazadeh A, Abdollahi D (2013) Solving the constrained nonlinear optimization based on imperialist competitive algorithm. Int J Nonlinear Sci 15:212\u2013219","journal-title":"Int J Nonlinear Sci"},{"key":"3088_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00521-014-1676-z","volume":"26","author":"MAZ Raja","year":"2015","unstructured":"Raja MAZ, Sabir Z, Mehmood N et al (2015) Design of stochastic solvers based on genetic algorithms for solving nonlinear equations. Neural Comput Appl 26:1. doi: 10.1007\/s00521-014-1676-z","journal-title":"Neural Comput Appl"},{"key":"3088_CR5","doi-asserted-by":"crossref","unstructured":"Raja MAZ, Kiani AK, Shehzad A, Zameer A (2016) Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models. Springerplus 5(1):2063","DOI":"10.1186\/s40064-016-3750-8"},{"key":"3088_CR6","doi-asserted-by":"publisher","unstructured":"Raja MAZ, Zameer A, Kiani AK, Shehzad A, Khan MAR (2016) Nature-inspired computational intelligence integration with Nelder\u2013Mead method to solve nonlinear benchmark models. Neural Comput Appl 1\u201325. doi: 10.1007\/s00521-016-2523-1","DOI":"10.1007\/s00521-016-2523-1"},{"key":"3088_CR7","doi-asserted-by":"publisher","first-page":"698","DOI":"10.1109\/TSMCA.2008.918599","volume":"38","author":"C Grosan","year":"2008","unstructured":"Grosan C, Abraham A (2008) A new approach for solving nonlinear equations systems. IEEE Trans Syst Man Cybern Part A Syst Hum 38:698\u2013714","journal-title":"IEEE Trans Syst Man Cybern Part A Syst Hum"},{"key":"3088_CR8","doi-asserted-by":"publisher","first-page":"1877","DOI":"10.1016\/j.camwa.2008.10.005","volume":"57","author":"Y Mo","year":"2009","unstructured":"Mo Y, Liu H, Wang Q (2009) Conjugate direction particle swarm optimization solving systems of nonlinear equations. Comput Math Appl 57:1877\u20131882","journal-title":"Comput Math Appl"},{"key":"3088_CR9","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1016\/j.camwa.2011.05.031","volume":"62","author":"M Jaberipour","year":"2011","unstructured":"Jaberipour M, Khorram E, Karimi B (2011) Particle swarm algorithm for solving systems of nonlinear equations. Comput Math Appl 62:566\u2013576","journal-title":"Comput Math Appl"},{"key":"3088_CR10","doi-asserted-by":"publisher","first-page":"4349","DOI":"10.1016\/j.asoc.2013.06.018","volume":"13","author":"HAJ Oliveira","year":"2013","unstructured":"Oliveira HAJ, Petraglia A (2013) Solving nonlinear systems of functional equations with fuzzy adaptive simulated annealing. Appl Soft Comput 13:4349\u20134357","journal-title":"Appl Soft Comput"},{"key":"3088_CR11","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/j.swevo.2011.12.001","volume":"4","author":"E Pourjafari","year":"2012","unstructured":"Pourjafari E, Mojallali H (2012) Solving nonlinear equations systems with a new approach based on invasive weed optimization algorithm and clustering. Swarm Evol Comput 4:33\u201343","journal-title":"Swarm Evol Comput"},{"key":"3088_CR12","doi-asserted-by":"crossref","first-page":"11483","DOI":"10.1016\/j.amc.2013.05.057","volume":"219","author":"A Pourrajabian","year":"2013","unstructured":"Pourrajabian A, Ebrahimi R, Mirzaei M, Shams M (2013) Applying genetic algorithms for solving nonlinear algebraic equations. Appl Math Comput 219:11483\u201311494","journal-title":"Appl Math Comput"},{"key":"3088_CR13","first-page":"1","volume":"26","author":"AZR Muhammad","year":"2015","unstructured":"Muhammad AZR, Zulqurnain S, Nasir M, Eman SAA, Junaid AK (2015) Design of stochastic solvers based on genetic algorithms for solving nonlinear equations. Neural Comput Appl 26:1\u201323","journal-title":"Neural Comput Appl"},{"issue":"4","key":"3088_CR14","first-page":"330","volume":"1","author":"XS Yang","year":"2010","unstructured":"Yang XS, Deb S (2010) Engineering optimization by cuckoo search. Int J Math Model Numer Optim 1(4):330\u2013343","journal-title":"Int J Math Model Numer Optim"},{"key":"3088_CR15","doi-asserted-by":"publisher","first-page":"857254","DOI":"10.1155\/2014\/857254","volume":"2014","author":"Y Feng","year":"2014","unstructured":"Feng Y, Wang GG, Feng Q, Zhao XJ (2014) An effective hybrid cuckoo search algorithm with improved shuffled frog leaping algorithm for 0\u20131 knapsack problems. Comput Intell Neurosci 2014:857254. doi: 10.1155\/2014\/857254","journal-title":"Comput Intell Neurosci"},{"issue":"9","key":"3088_CR16","doi-asserted-by":"publisher","first-page":"3349","DOI":"10.1007\/s00500-015-1726-1","volume":"20","author":"GG Wang","year":"2016","unstructured":"Wang GG, Deb S, Gandomi AH, Zhang Z, Alavi AH (2016) Chaotic cuckoo search. Soft Comput 20(9):3349\u20133362","journal-title":"Soft Comput"},{"issue":"3\u20134","key":"3088_CR17","doi-asserted-by":"publisher","first-page":"911","DOI":"10.1007\/s00521-014-1577-1","volume":"25","author":"W Long","year":"2014","unstructured":"Long W, Liang X, Huang Y, Chen Y (2014) An effective hybrid cuckoo search algorithm for constrained global optimization. Neural Comput Appl 25(3\u20134):911\u2013926","journal-title":"Neural Comput Appl"},{"issue":"1","key":"3088_CR18","doi-asserted-by":"publisher","first-page":"1569","DOI":"10.1063\/1.4867989","volume":"24","author":"Z Sheng","year":"2014","unstructured":"Sheng Z, Wang J, Zhou S, Zhou B (2014) Parameter estimation for chaotic systems using a hybrid adaptive cuckoo search with simulated annealing algorithm. Chaos 24(1):1569\u20131577","journal-title":"Chaos"},{"issue":"6","key":"3088_CR19","doi-asserted-by":"publisher","first-page":"1233","DOI":"10.1007\/s00521-013-1354-6","volume":"24","author":"X Li","year":"2014","unstructured":"Li X, Wang J, Yin M (2014) Enhancing the performance of cuckoo search algorithm using orthogonal learning method. Neural Comput Appl 24(6):1233\u20131247","journal-title":"Neural Comput Appl"},{"issue":"1","key":"3088_CR20","first-page":"129","volume":"12","author":"XS Yang","year":"2012","unstructured":"Yang XS (2012) Cuckoo search for inverse problems and simulated-driven shape optimization. J Comput Methods Sci Eng 12(1):129\u2013137","journal-title":"J Comput Methods Sci Eng"},{"key":"3088_CR21","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/j.fluid.2012.09.018","volume":"337","author":"V Bhargava","year":"2013","unstructured":"Bhargava V, Fateen S, Petriciolet AB (2013) Cuckoo Search: a new nature-inspired optimization method for phase equilibrium calculations. Fluid Phase Equilib 337:191\u2013200","journal-title":"Fluid Phase Equilib"},{"issue":"1","key":"3088_CR22","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1007\/s00366-011-0241-y","volume":"29","author":"AH Gandomi","year":"2013","unstructured":"Gandomi AH, Yang XS, Alavi AH (2013) Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng Comput 29(1):17\u201335","journal-title":"Eng Comput"},{"issue":"4","key":"3088_CR23","doi-asserted-by":"publisher","first-page":"427","DOI":"10.2307\/4072271","volume":"34","author":"J Grinnell","year":"1917","unstructured":"Grinnell J (1917) The niche relationship of the California thrasher. AUK 34(4):427\u2013433","journal-title":"AUK"},{"key":"3088_CR24","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1101\/SQB.1957.022.01.039","volume":"22","author":"GE Hutchinson","year":"1957","unstructured":"Hutchinson GE (1957) Concluding remarks. Cold Spring Harb Symp Quant Biol 22:415\u2013427","journal-title":"Cold Spring Harb Symp Quant Biol"},{"key":"3088_CR25","first-page":"27","volume-title":"Crowding and preselection revisited, parallel problem solving from nature","author":"SW Mahfoud","year":"1992","unstructured":"Mahfoud SW (1992) Crowding and preselection revisited, parallel problem solving from nature. North-Holland, Amsterdam, pp 27\u201336"},{"key":"3088_CR26","unstructured":"Goldberg DE, Richardson J (1987) Genetic Algorithms with sharing for multi-model function optimization. In: Proceedings of the second conference on genetic algorithms. Hillsdale NJ: Lawrence Erlbaum Associates, pp 41\u201347"},{"key":"3088_CR27","doi-asserted-by":"crossref","unstructured":"Petrowski A (1996) A clearing procedure as a niching method for genetic algorithms. In: Proceedings of IEEE international conference on evolutionary computation, IEEE, Los Alamitos. pp 798\u2013803","DOI":"10.1109\/ICEC.1996.542703"},{"key":"3088_CR28","unstructured":"Streichert F, Stein G, Ulmer H, Zell A (2003) A clustering based niching EA for multimodal search spaces. In: The 6th international conference of artificial evolution, Marseilles, France. pp 293\u2013304"},{"key":"3088_CR29","doi-asserted-by":"crossref","unstructured":"Miller BL, Shaw MJ (1996) Genetic algorithms with dynamic niche sharing for multimodal function optimization. In: International conference on evolutionary computation, IEEE Press, Piscataway, NJ. pp 786\u2013791","DOI":"10.1109\/ICEC.1996.542701"},{"issue":"3","key":"3088_CR30","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1109\/4235.735432","volume":"2","author":"B Sareni","year":"1998","unstructured":"Sareni B, Kr\u00e4henb\u00fchl L (1998) Fitness sharing and niching methods revisited. IEEE Trans Evolut Comput 2(3):97\u2013106","journal-title":"IEEE Trans Evolut Comput"},{"issue":"6","key":"3088_CR31","doi-asserted-by":"publisher","first-page":"580","DOI":"10.1109\/TEVC.2004.837341","volume":"8","author":"AD Cioppa","year":"2004","unstructured":"Cioppa AD, Stefano CD, Marcelli A (2004) On the role of population size and niche radius in fitness sharing. IEEE Trans Evolut Comput 8(6):580\u2013592","journal-title":"IEEE Trans Evolut Comput"},{"issue":"1","key":"3088_CR32","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/S0965-9978(00)00070-3","volume":"32","author":"J Andre","year":"2001","unstructured":"Andre J, Siarry P, Dognon T (2001) An improvement of the standard genetic algorithm fighting premature convergence in continuous optimization. Adv Eng Softw 32(1):49\u201360","journal-title":"Adv Eng Softw"},{"issue":"8","key":"3088_CR33","doi-asserted-by":"publisher","first-page":"1676","DOI":"10.1016\/j.cnsns.2007.03.003","volume":"13","author":"X Yang","year":"2008","unstructured":"Yang X, Yang Z, Yin X, Li J (2008) Chaos gray-coded genetic algorithm and its application for pollution source identifications in convection\u2013diffusion equation. Commun Nonlinear Sci Numer Simul 13(8):1676\u20131688","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"4","key":"3088_CR34","doi-asserted-by":"publisher","first-page":"508","DOI":"10.1016\/j.camwa.2014.06.013","volume":"68","author":"OE Turgut","year":"2014","unstructured":"Turgut OE, Turgut MS, Coban MT (2014) Chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Comput Math Appl 68(4):508\u2013530","journal-title":"Comput Math Appl"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3088-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-017-3088-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3088-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,30]],"date-time":"2022-07-30T07:00:35Z","timestamp":1659164435000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-017-3088-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,30]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["3088"],"URL":"https:\/\/doi.org\/10.1007\/s00521-017-3088-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,6,30]]},"assertion":[{"value":"22 September 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 June 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 June 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}