{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:24:35Z","timestamp":1760171075823,"version":"3.28.0"},"reference-count":25,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,4]]},"DOI":"10.1109\/icassp.2018.8461601","type":"proceedings-article","created":{"date-parts":[[2018,9,21]],"date-time":"2018-09-21T22:24:48Z","timestamp":1537568688000},"page":"4509-4513","source":"Crossref","is-referenced-by-count":4,"title":["Spectral Radii of Asymptotic Mappings and the Convergence Speed of the Standard Fixed Point Algorithm"],"prefix":"10.1109","author":[{"given":"R. L. G.","family":"Cavalcante","sequence":"first","affiliation":[{"name":"Fraunhofer Heinrich Hertz Institute and Technical University of Berlin"}]},{"given":"S.","family":"Stanczak","sequence":"additional","affiliation":[{"name":"Fraunhofer Heinrich Hertz Institute and Technical University of Berlin"}]}],"member":"263","reference":[{"journal-title":"Fundamentals of Resource Allocation in Wireless Networks Foundations in Signal Processing Communications and Networking","year":"2009","author":"stanczak","key":"ref10"},{"key":"ref11","article-title":"Concurrent load-aware adjustment of user association and antenna tilts in self-organizing radio networks","author":"albrecht","year":"2013","journal-title":"IEEE Trans Veh Technol"},{"key":"ref12","first-page":"5283","article-title":"Contraction approach to power control, with non-monotonic applications","author":"carl","year":"2007","journal-title":"IEEE GLOBECOM 2007-IEEE Global Telecommunications Conference IEEE"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"4951","DOI":"10.1109\/TSP.2008.928093","article-title":"Concave and convex interference functions - general characterizations and applications","volume":"56","author":"holger","year":"2008","journal-title":"IEEE Transactions on Signal Processing"},{"key":"ref14","first-page":"556","article-title":"Robust resource allocation","author":"martin","year":"2006","journal-title":"Information Theory Workshop 2006 ITW'06 Chengdu IEEE IEEE"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/GlobalSIP.2017.8309022"},{"journal-title":"Performance limits of solutions to network utility maximization problems","year":"0","author":"cavalcante","key":"ref16"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/AICT.2010.9"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"2287","DOI":"10.1109\/TWC.2012.051512.111532","article-title":"Analysis of cell load coupling for LTE network planning and optimization","volume":"11","author":"ioana","year":"2012","journal-title":"IEEE Trans Wireless Commun"},{"key":"ref19","first-page":"1254","article-title":"On optimal load setting of load-coupled cells in heterogeneous LTE networks","author":"iana","year":"2014","journal-title":"Communications (ICC) 2014 IEEE International Conference On IEEE"},{"key":"ref4","first-page":"500","article-title":"On power and load coupling in cellular networks for energy optimization","volume":"14","author":"chin keong","year":"2015","journal-title":"IEEE Trans Wireless Commun"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2014.2335093"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1023\/A:1019156106722","article-title":"Rate of convergence for minimum power assignment algorithms in cellular radio systems","volume":"4","author":"ching-yao","year":"1998","journal-title":"Wireless Networks"},{"journal-title":"Interference Calculus A General Framework for Interference Management and Network Utility Optimization","year":"2011","author":"schubert","key":"ref5"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"1774","DOI":"10.1109\/TSP.2015.2502544","article-title":"Elementary properties of positive concave mappings with applications to network planning and optimization","volume":"64","author":"renato","year":"2016","journal-title":"IEEE Trans Signal Processing"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2017.7952853"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"4494","DOI":"10.1109\/TWC.2012.102512.120101","article-title":"Contractive interference functions and rates of convergence of distributed power control laws","volume":"11","author":"hamid reza","year":"2012","journal-title":"IEEE Transactions on Wireless Communications"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2016.2628739"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/49.414651"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2014.021214.130809"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0024-3795(86)90233-8","article-title":"Convexity and log convexity for the spectral radius","volume":"73","author":"roger","year":"1986","journal-title":"Linear Algebra and Its Application"},{"journal-title":"Asymptotic Cones and Functions in Optimization and Variational Inequalities","year":"2003","author":"auslender","key":"ref21"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1016\/S0362-546X(01)00281-4","article-title":"Concave Perron-Frobenius theory and applications","volume":"47","author":"ulrich","year":"2001","journal-title":"Nonlinear Analysis Theory Methods & Applications"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/0304-4068(86)90016-9","article-title":"Perron's stability theorem for nonlinear mappings","volume":"15","author":"ulrich","year":"1986","journal-title":"Journal of Mathematical Economics"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"4931","DOI":"10.1090\/S0002-9947-04-03470-1","article-title":"The Perron-Frobenius theorem for homogeneous, monotone functions","volume":"356","author":"stephane","year":"2004","journal-title":"Transactions of the American Mathematical Society"}],"event":{"name":"ICASSP 2018 - 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","start":{"date-parts":[[2018,4,15]]},"location":"Calgary, AB, Canada","end":{"date-parts":[[2018,4,20]]}},"container-title":["2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8450881\/8461260\/08461601.pdf?arnumber=8461601","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,9]],"date-time":"2021-06-09T05:07:29Z","timestamp":1623215249000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8461601\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4]]},"references-count":25,"URL":"https:\/\/doi.org\/10.1109\/icassp.2018.8461601","relation":{},"subject":[],"published":{"date-parts":[[2018,4]]}}}