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We illustrate our approach by examples of finite-difference approximations of nonlinear partial differential equations and a system of power flow. <\/jats:p>","DOI":"10.1142\/s0218127421500085","type":"journal-article","created":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T08:44:35Z","timestamp":1611650675000},"page":"2150008","source":"Crossref","is-referenced-by-count":2,"title":["Finding Saddle-Node Bifurcations via a Nonlinear Generalized Collatz\u2013Wielandt Formula"],"prefix":"10.1142","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6310-9164","authenticated-orcid":false,"given":"Yavdat","family":"Ilyasov","sequence":"first","affiliation":[{"name":"Institute of Mathematics with Computer Center of USC, Russian Academy of Sciences, 112, Chernyshevsky Str., 450008, Ufa, Russia"},{"name":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade Federal de Goi\u00e1s, 74001-970, Goiania, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2021,1,25]]},"reference":[{"key":"S0218127421500085BIB001","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-32935-2","volume-title":"Computational Techniques for Voltage Stability Assessment and Control","author":"Ajjarapu V.","year":"2007"},{"key":"S0218127421500085BIB002","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-08114-4","volume-title":"Introduction to Nonsmooth Optimization: Theory, Practice and Software","author":"Bagirov A.","year":"2014"},{"key":"S0218127421500085BIB003","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971262","volume-title":"Nonnegative Matrices in the Mathematical Sciences","author":"Berman A.","year":"1994"},{"key":"S0218127421500085BIB004","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1080\/17476933.2015.1107905","volume":"61","author":"Bobkov V.","year":"2016","journal-title":"Compl. 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