<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Vasilios N. Katsikis</style></author><author><style face="normal" font="default" size="100%">Spyridon D. Mourtas</style></author><author><style face="normal" font="default" size="100%">Predrag S. Stanimirović</style></author><author><style face="normal" font="default" size="100%">Zhang, Yunong</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Continuous-Time Varying Complex QR Decomposition via Zeroing Neural Dynamics</style></title><secondary-title><style face="normal" font="default" size="100%">Neural Processing Letters</style></secondary-title><short-title><style face="normal" font="default" size="100%">Neural Processing Letters</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1007/s11063-021-10566-y</style></url></web-urls></urls><isbn><style face="normal" font="default" size="100%">1573-773X</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">QR decomposition (QRD) is of fundamental importance for matrix factorization in both real and complex cases. In this paper, by using zeroing neural dynamics method, a continuous-time model is proposed for solving the time-varying problem of QRD in real-time. The proposed dynamics use time derivative information from a known real or complex matrix. Furthermore, its theoretical analysis is provided to substantiate the convergence and effectiveness of solving the time-varying QRD problem. In addition, numerical experiments in four different-dimensional time-varying matrices show that the proposed model is effective for solving the time-varying QRD problem both in the case of a real or a complex matrix as input.</style></abstract></record></records></xml>