{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:33:54Z","timestamp":1777455234873,"version":"3.51.4"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,6,6]],"date-time":"2013-06-06T00:00:00Z","timestamp":1370476800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Process Lett"],"published-print":{"date-parts":[[2014,6]]},"DOI":"10.1007\/s11063-013-9306-9","type":"journal-article","created":{"date-parts":[[2013,6,5]],"date-time":"2013-06-05T08:28:51Z","timestamp":1370420931000},"page":"309-326","source":"Crossref","is-referenced-by-count":64,"title":["From Different Zhang Functions to Various ZNN Models Accelerated to Finite-Time Convergence for Time-Varying Linear Matrix Equation"],"prefix":"10.1007","volume":"39","author":[{"given":"Lin","family":"Xiao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunong","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,6,6]]},"reference":[{"issue":"6","key":"9306_CR1","first-page":"932","volume":"7","author":"GNS Prasanna","year":"1996","unstructured":"Prasanna GNS, Musicus BR (1996) Generalized multiprocessor scheduling and applications to matrix computations. IEEE Trans Parallel Distrib Syst 7(6):932\u2013943","journal-title":"IEEE Trans Parallel Distrib Syst"},{"issue":"9","key":"9306_CR2","doi-asserted-by":"crossref","first-page":"1175","DOI":"10.1109\/TPDS.2007.70813","volume":"19","author":"J Kurzak","year":"2008","unstructured":"Kurzak J, Buttari A, Dongarra J (2008) Solving systems of linear equations on the cell processor using cholesky factorization. IEEE Trans Parallel Distrib Syst 19(9):1175\u20131185","journal-title":"IEEE Trans Parallel Distrib Syst"},{"issue":"8","key":"9306_CR3","doi-asserted-by":"crossref","first-page":"1216","DOI":"10.1109\/TAC.2005.852558","volume":"50","author":"F Ding","year":"2005","unstructured":"Ding F, Chen T (2005) Gradient based iterative algorithms for solving a class of matrix equations. IEEE Trans Autom Control 50(8):1216\u20131221","journal-title":"IEEE Trans Autom Control"},{"key":"9306_CR4","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.cam.2006.12.005","volume":"212","author":"GX Huang","year":"2008","unstructured":"Huang GX, Yin F, Guo K (2008) An iterative method for the skew-symmetric solution and the optimal spproximate solution of the matrix equation $$AXB=C$$ AXB = C . J Comput Appl Math 212:231\u2013244","journal-title":"J Comput Appl Math"},{"key":"9306_CR5","first-page":"2363","volume":"54","author":"AG Wu","year":"2011","unstructured":"Wu AG, Lv L, Hou MZ (2011) Finite iterative algorithms for extended sylvester-conjugate matrix equations. J Comput Appl Math 54:2363\u20132384","journal-title":"J Comput Appl Math"},{"issue":"1","key":"9306_CR6","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.laa.2005.01.018","volume":"402","author":"B Zhou","year":"2005","unstructured":"Zhou B, Duan GR (2005) An explicit solution to the matrix equation $$AX-XF=BY$$ AX \u2212 XF = BY . Linear Algebra Appl 402(1):345\u2013366","journal-title":"Linear Algebra Appl"},{"key":"9306_CR7","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/j.sysconle.2008.12.004","volume":"58","author":"B Zhou","year":"2009","unstructured":"Zhou B, Duan GR, Li ZY (2009) Gradient based iterative algorithm for solving coupled matrix equations. Syst Control Lett 58:327\u2013333","journal-title":"Syst Control Lett"},{"key":"9306_CR8","volume-title":"Numerical methods using MATLAB","author":"JH Mathews","year":"2004","unstructured":"Mathews JH, Fink KD (2004) Numerical methods using MATLAB. Prentice Hall, New Jersey"},{"issue":"4","key":"9306_CR9","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1109\/12.214696","volume":"42","author":"SC Cheng","year":"2009","unstructured":"Cheng SC, Tsai WH (2009) A neural network implementation of the moment- preserving technique and its application to thresholding. IEEE Trans Comput 42(4):501\u2013507","journal-title":"IEEE Trans Comput"},{"issue":"1","key":"9306_CR10","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/s11063-012-9268-3","volume":"37","author":"RM Luque-Baena","year":"2013","unstructured":"Luque-Baena RM, Ortiz-de-Lazcano-Lobato JM, Lopez-Rubio E, Dominguez E, Palomo EJ (2013) A competitive neural network for multiple object tracking in video sequence analysis. Neural Process Lett 37(1):47\u201367","journal-title":"Neural Process Lett"},{"key":"9306_CR11","doi-asserted-by":"crossref","unstructured":"Pande S, Morgan F, Cawley S, Bruintjes T, Smit G, McGinley B, Carrillo S, Harkin J, McDaid L (2012) Modular neural tile architecture for compact embedded hardware spiking neural network. Neural Process Lett. doi: 10.1007\/s11063-012-9274-5","DOI":"10.1007\/s11063-012-9274-5"},{"key":"9306_CR12","doi-asserted-by":"crossref","unstructured":"Gao C, Zhou D, Guo Y (2013) An iterative thresholding segmentation model using a modified pulse coupled neural network. Neural Process Lett. doi: 10.1007\/s11063-013-9291-z","DOI":"10.1007\/s11063-013-9291-z"},{"issue":"1","key":"9306_CR13","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1109\/TC.2008.127","volume":"58","author":"L Wang","year":"2009","unstructured":"Wang L, Liu W, Shi H (2009) Delay-constrained multicast routing using the noisy chaotic neural networks. IEEE Trans Comput 58(1):82\u201389","journal-title":"IEEE Trans Comput"},{"issue":"6","key":"9306_CR14","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.1109\/TPDS.2011.248","volume":"23","author":"M Elhadef","year":"2012","unstructured":"Elhadef M, Nayak A (2012) Comparison-based system-level fault diagnosis: a neural network approach. IEEE Trans Parallel Distrib Syst 23(6):1047\u20131059","journal-title":"IEEE Trans Parallel Distrib Syst"},{"issue":"9","key":"9306_CR15","doi-asserted-by":"crossref","first-page":"1599","DOI":"10.1109\/TNN.2008.2000446","volume":"19","author":"SS Ge","year":"2008","unstructured":"Ge SS, Yang C, Lee TH (2008) Adaptive predictive control using neural network for a class of pure-feedback systems in discrete time. IEEE Trans Neural Netw 19(9):1599\u20131614","journal-title":"IEEE Trans Neural Netw"},{"issue":"9","key":"9306_CR16","doi-asserted-by":"crossref","first-page":"1873","DOI":"10.1109\/TNN.2008.2003290","volume":"19","author":"C Yang","year":"2008","unstructured":"Yang C, Ge SS, Xiang C, Chai T, Lee TH (2008) Output feedback nn control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans Neural Netw 19(9):1873\u20131886","journal-title":"IEEE Trans Neural Netw"},{"issue":"8","key":"9306_CR17","doi-asserted-by":"crossref","first-page":"1340","DOI":"10.1109\/TNN.2008.2000273","volume":"19","author":"Y Xia","year":"2008","unstructured":"Xia Y, Feng G, Wang J (2008) A novel recurrent neural network for solving nonlinear optimization problems with inequality constraints. IEEE Trans Neural Netw 19(8):1340\u20131353","journal-title":"IEEE Trans Neural Netw"},{"key":"9306_CR18","doi-asserted-by":"crossref","first-page":"3708","DOI":"10.1016\/j.neucom.2011.05.021","volume":"74","author":"D Guo","year":"2011","unstructured":"Guo D, Yi C, Zhang Y (2011) Zhang neural network versus gradient-based neural network for time-varying linear matrix equation solving. Neurocomputing 74:3708\u20133712","journal-title":"Neurocomputing"},{"issue":"5","key":"9306_CR19","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1109\/TNN.2002.1031938","volume":"13","author":"Y Zhang","year":"2002","unstructured":"Zhang Y, Jiang D, Wang J (2002) A recurrent neural network for solving sylvester equation with time-varying coefficients. IEEE Trans Neural Netw 13(5):1053\u20131063","journal-title":"IEEE Trans Neural Netw"},{"issue":"6","key":"9306_CR20","doi-asserted-by":"crossref","first-page":"1477","DOI":"10.1109\/TNN.2005.857946","volume":"16","author":"Y Zhang","year":"2005","unstructured":"Zhang Y, Ge SS (2005) Design and analysis of a general recurrent neural network model for time-varying matrix inversion. IEEE Trans Neural Netw 16(6):1477\u20131490","journal-title":"IEEE Trans Neural Netw"},{"issue":"7","key":"9306_CR21","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.1109\/TCSI.2008.2007065","volume":"56","author":"Y Zhang","year":"2009","unstructured":"Zhang Y, Ma W, Cai B (2009) From Zhang neural networks to newton iteration for matrix inversion. IEEE Trans Circuits Syst I 56(7):1405\u20131415","journal-title":"IEEE Trans Circuits Syst I"},{"issue":"10","key":"9306_CR22","doi-asserted-by":"crossref","first-page":"1676","DOI":"10.1109\/TNN.2011.2163318","volume":"22","author":"L Xiao","year":"2011","unstructured":"Xiao L, Zhang Y (2011) Zhang neural network versus gradient neural network for solving time-varying linear inequalities. IEEE Trans Neural Netw 22(10):1676\u20131684","journal-title":"IEEE Trans Neural Netw"},{"issue":"10","key":"9306_CR23","doi-asserted-by":"crossref","first-page":"2363","DOI":"10.1109\/TCSI.2012.2188944","volume":"59","author":"L Xiao","year":"2012","unstructured":"Xiao L, Zhang Y (2012) Two new types of Zhang neural networks solving systems of time-varying nonlinear inequalities. IEEE Trans Circuits Syst I 59(10):2363\u20132373","journal-title":"IEEE Trans Circuits Syst I"},{"key":"9306_CR24","doi-asserted-by":"crossref","first-page":"4502","DOI":"10.1016\/j.apm.2011.11.081","volume":"36","author":"Y Zhang","year":"2012","unstructured":"Zhang Y, Li F, Yang Y, Li Z (2012) Different Zhang functions leading to different zhang-dynamics models illustrated via time-varying reciprocal solving. Appl Math Model 36:4502\u20134511","journal-title":"Appl Math Model"},{"key":"9306_CR25","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1137\/S0363012997321358","volume":"38","author":"SP Bhat","year":"2000","unstructured":"Bhat SP, Bernstein DS (2000) Finite-time stability of continuous autonomous systems. SIAM J Control Optim 38:751\u2013766","journal-title":"SIAM J Control Optim"},{"key":"9306_CR26","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s11063-012-9241-1","volume":"37","author":"S Li","year":"2013","unstructured":"Li S, Chen S, Liu B (2013) Accelerating a recurrent neural network to finite-time convergence for solving time-varying sylvester equation by using a sign-bi-power activation function. Neural Process Lett 37:189\u2013205","journal-title":"Neural Process Lett"},{"issue":"2","key":"9306_CR27","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1109\/TNNLS.2012.2230451","volume":"24","author":"S Li","year":"2013","unstructured":"Li S, Liu B, Li Y (2013) Selective positive-negative feedback produces the winner-take-all competition in recurrent neural networks. IEEE Trans Neural Netw Learn Syst 24(2):301\u2013309","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"9306_CR28","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/j.neunet.2012.12.009","volume":"39","author":"S Li","year":"2013","unstructured":"Li S, Li Y, Wang Z (2013) A class of finite-time dual neural networks for solving quadratic programming problems and its k-winners-take-all application. Neural Netw 39:27\u201339","journal-title":"Neural Netw"},{"key":"9306_CR29","volume-title":"Nonlinear Systems","author":"HK Khalil","year":"2001","unstructured":"Khalil HK (2001) Nonlinear Systems, 3rd edn. Prentice Hall, Englewood Cliffs","edition":"3"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-013-9306-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11063-013-9306-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-013-9306-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T04:34:07Z","timestamp":1559363647000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11063-013-9306-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6,6]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["9306"],"URL":"https:\/\/doi.org\/10.1007\/s11063-013-9306-9","relation":{},"ISSN":["1370-4621","1573-773X"],"issn-type":[{"value":"1370-4621","type":"print"},{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6,6]]}}}