{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:22:22Z","timestamp":1753885342224,"version":"3.41.2"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"name":"CONACyT","award":["POSG17-62"],"award-info":[{"award-number":["POSG17-62"]}]},{"name":"CONACyT","award":["PINV15-706"],"award-info":[{"award-number":["PINV15-706"]}]},{"name":"CONACyT","award":["PINV15-208"],"award-info":[{"award-number":["PINV15-208"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,2]]},"abstract":"<jats:p> We say that a square real matrix [Formula: see text] is off-diagonal nonnegative if and only if all entries outside its diagonal are nonnegative real numbers. In this paper, we show that for any off-diagonal nonnegative symmetric matrix [Formula: see text], there exists a nonnegative symmetric matrix [Formula: see text] which is sparse and close in spectrum to [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830921501093","type":"journal-article","created":{"date-parts":[[2021,2,26]],"date-time":"2021-02-26T04:36:00Z","timestamp":1614314160000},"source":"Crossref","is-referenced-by-count":0,"title":["Bounds on the spectral sparsification of symmetric and off-diagonal nonnegative real matrices"],"prefix":"10.1142","volume":"14","author":[{"given":"Sergio","family":"Mercado","sequence":"first","affiliation":[{"name":"Facultad Polit\u00e9cnica, Universidad Nacional de Asunci\u00f3n, Campus Universitario, San Lorenzo C.P. 111421, Paraguay"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6081-9099","authenticated-orcid":false,"given":"Marcos","family":"Villagra","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Nacional de Asunci\u00f3n, Campus Universitario, San Lorenzo C.P. 111421, Paraguay"}]}],"member":"219","published-online":{"date-parts":[[2021,3,31]]},"reference":[{"key":"S1793830921501093BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0653-8"},{"key":"S1793830921501093BIB002","doi-asserted-by":"publisher","DOI":"10.1137\/0707001"},{"key":"S1793830921501093BIB003","volume-title":"Principal Component Analysis","author":"Jolliffe I. T.","year":"2002","edition":"2"},{"key":"S1793830921501093BIB004","doi-asserted-by":"publisher","DOI":"10.6028\/jres.045.026"},{"key":"S1793830921501093BIB005","doi-asserted-by":"publisher","DOI":"10.1137\/16M1061850"},{"key":"S1793830921501093BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/BF00120662"},{"key":"S1793830921501093BIB007","doi-asserted-by":"publisher","DOI":"10.1137\/08074489X"},{"volume-title":"Matrix Perturbation Theory","year":"1990","author":"Stewart G.","key":"S1793830921501093BIB008"},{"key":"S1793830921501093BIB009","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/asv008"},{"key":"S1793830921501093BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-31594-7_71"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921501093","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,7]],"date-time":"2022-03-07T11:35:13Z","timestamp":1646652913000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921501093"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,31]]},"references-count":10,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["10.1142\/S1793830921501093"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921501093","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2021,3,31]]},"article-number":"2150109"}}