{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,6]],"date-time":"2022-04-06T00:37:53Z","timestamp":1649205473077},"reference-count":5,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2011,12,1]],"date-time":"2011-12-01T00:00:00Z","timestamp":1322697600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Numerical Analysis"],"published-print":{"date-parts":[[2011,12,1]]},"abstract":"<jats:p>The aim of this paper is to present the structure of a class of\nmatrices that enables explicit inverse to be obtained. Starting from an\nalready known class of matrices, we construct a Hadamard product that\nderives the class under consideration. The latter are defined by \nparameters, analytic expressions of which provide the elements of the\nlower Hessenberg form inverse. Recursion formulae of these expressions\nreduce the arithmetic operations in evaluating the inverse to .<\/jats:p>","DOI":"10.1155\/2011\/593548","type":"journal-article","created":{"date-parts":[[2011,12,3]],"date-time":"2011-12-03T04:08:40Z","timestamp":1322885320000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["A Generalization of a Class of Matrices: Analytic Inverse and Determinant"],"prefix":"10.1155","volume":"2011","author":[{"given":"F. N.","family":"Valvi","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Patras, 26500 Patras, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","first-page":"827","volume":"22","year":"1968","journal-title":"Mathematics of Computation"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1969-0258259-0"},{"issue":"2","key":"3","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1109\/TASSP.1982.1163876","volume":"30","year":"1982","journal-title":"IEEE Transactions on Acoustics, Speech, and Signal Processing"},{"issue":"2","key":"4","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1080\/00207728608926813","volume":"17","year":"1986","journal-title":"International Journal of Systems Science"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1080\/00207169908804846"}],"container-title":["Advances in Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/593548.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/593548.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/593548.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,8]],"date-time":"2020-12-08T23:27:57Z","timestamp":1607470077000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ana\/2011\/593548\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12,1]]},"references-count":5,"alternative-id":["593548","593548"],"URL":"https:\/\/doi.org\/10.1155\/2011\/593548","relation":{},"ISSN":["1687-9562","1687-9570"],"issn-type":[{"value":"1687-9562","type":"print"},{"value":"1687-9570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12,1]]}}}