{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T15:14:50Z","timestamp":1773242090371,"version":"3.50.1"},"reference-count":9,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"PURSE-DST"},{"DOI":"10.13039\/501100001332","name":"CSIR","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100001332","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We obtain inequalities involving numerical radius of a matrix<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi>A<\/mml:mi><mml:mo>\u2208<\/mml:mo><mml:msub><mml:mrow><mml:mi>M<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u2102<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>. Using this result, we find upper bounds for zeros of a given polynomial. We also give a method to estimate the spectral radius of a given matrix<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>A<\/mml:mi><mml:mo>\u2208<\/mml:mo><mml:msub><mml:mrow><mml:mi>M<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u2102<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>up to the desired degree of accuracy.<\/jats:p>","DOI":"10.1155\/2012\/129132","type":"journal-article","created":{"date-parts":[[2012,10,2]],"date-time":"2012-10-02T19:23:28Z","timestamp":1349205808000},"page":"1-15","source":"Crossref","is-referenced-by-count":18,"title":["On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial"],"prefix":"10.1155","volume":"2012","author":[{"given":"Kallol","family":"Paul","sequence":"first","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, India"}]},{"given":"Santanu","family":"Bag","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, India"}]}],"member":"311","reference":[{"key":"7","doi-asserted-by":"publisher","DOI":"10.4064\/sm158-1-2"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/03081080701400911"},{"key":"5","first-page":"xiii+561","year":"1985"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01292718"},{"key":"11","volume":"41","year":"1936","journal-title":"Tohoku Mathematical Journal"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.3792\/pja\/1195519149"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.2307\/2159168"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-02-06623-6"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.2307\/2300637"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/129132.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/129132.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/129132.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T12:18:32Z","timestamp":1470140312000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/129132\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":9,"alternative-id":["129132","129132"],"URL":"https:\/\/doi.org\/10.1155\/2012\/129132","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}