{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,19]],"date-time":"2025-11-19T17:09:18Z","timestamp":1763572158469},"reference-count":17,"publisher":"Institute of Mathematics, Czech Academy of Sciences","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Czech Math J"],"published-print":{"date-parts":[[2011,12]]},"DOI":"10.1007\/s10587-011-0059-1","type":"journal-article","created":{"date-parts":[[2012,1,28]],"date-time":"2012-01-28T09:18:02Z","timestamp":1327742282000},"page":"917-921","source":"Crossref","is-referenced-by-count":9,"title":["An identity between the determinant and the permanent of Hessenberg-type matrices"],"prefix":"10.21136","volume":"61","author":[{"given":"Carlos Martins","family":"da Fonseca","sequence":"first","affiliation":[]}],"member":"8849","published-online":{"date-parts":[[2012,1,29]]},"reference":[{"key":"59_CR1","doi-asserted-by":"crossref","unstructured":"M. Agrawal: Determinant versus permanent. Proceedings of the international congress of mathematicians, Madrid, Spain, August 22\u201330, 2006. European Mathematical Society, Z\u00fcrich, 2006, pp. 985\u2013997.","DOI":"10.4171\/022-3\/48"},{"key":"59_CR2","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1090\/dimacs\/004\/09","volume":"4","author":"R.A. Brualdi","year":"1991","unstructured":"R.A. Brualdi, B. L. Shader: On sign-nonsingular matrices and the conversion of the permanent into the determinant. Applied geometry discrete mathematics. DIMACS, Ser. Discret. Math. Theor. Comput. Sci. 4 (1991), 117\u2013134.","journal-title":"DIMACS, Ser. Discret. Math. Theor. Comput. Sci."},{"key":"59_CR3","doi-asserted-by":"crossref","first-page":"31","DOI":"10.4153\/CMB-1968-004-6","volume":"11","author":"P. Botta","year":"1968","unstructured":"P. Botta: On the conversion of the determinant into the permanent. Can. Math. Bull. 11 (1968), 31\u201334.","journal-title":"Can. Math. Bull."},{"key":"59_CR4","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/j.laa.2005.06.008","volume":"409","author":"L. Elsner","year":"2005","unstructured":"L. Elsner: A note on generalized Hessenberg matrices. Linear Algebra Appl. 409 (2005), 147\u2013152.","journal-title":"Linear Algebra Appl."},{"key":"59_CR5","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/S0024-3795(03)00555-X","volume":"380","author":"M. Fiedler","year":"2004","unstructured":"M. Fiedler, Z. Vav\u0159\u00edn: Generalized Hessenberg matrices. Linear Algebra Appl. 380 (2004), 95\u2013105.","journal-title":"Linear Algebra Appl."},{"key":"59_CR6","doi-asserted-by":"crossref","first-page":"270","DOI":"10.2307\/2316368","volume":"76","author":"P.M. Gibson","year":"1969","unstructured":"P.M. Gibson: An identity between permanents and determinants. Am. Math. Mon. 76 (1969), 270\u2013271.","journal-title":"Am. Math. Mon."},{"key":"59_CR7","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1090\/S0002-9939-1971-0279110-X","volume":"27","author":"P.M. Gibson","year":"1971","unstructured":"P.M. Gibson: Conversion of the permanent into the determinant. Proc. Am. Math. Soc. 27 (1971), 471\u2013476.","journal-title":"Proc. Am. Math. Soc."},{"key":"59_CR8","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/0024-3795(94)00065-4","volume":"233","author":"S.-G. Hwang","year":"1996","unstructured":"S.-G. Hwang, S.-J. Kim, S.-Z. Song: On convertible complex matrices. Linear Algebra Appl. 233 (1996), 167\u2013173.","journal-title":"Linear Algebra Appl."},{"key":"59_CR9","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1080\/0308108031000114686","volume":"51","author":"M.P. Coelho","year":"2002","unstructured":"M.P. Coelho, M.A. Duffner: On the relation between the determinant and the permanent on symmetric matrices. Linear Multilinear Algebra 51 (2002), 127\u2013136.","journal-title":"Linear Multilinear Algebra"},{"key":"59_CR10","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1080\/03081088308817530","volume":"13","author":"A.R. Krauter","year":"1983","unstructured":"A.R. Krauter, N. Seifter: On convertible (0, 1)-matrices. Linear Multilinear Algebra 13 (1983), 311\u2013322.","journal-title":"Linear Multilinear Algebra"},{"key":"59_CR11","first-page":"45","volume":"7","author":"M.H. Lim","year":"1979","unstructured":"M.H. Lim: A note on the relation between the determinant and the permanent. Linear Multilinear Algebra 7 (1979), 45\u201347.","journal-title":"Linear Multilinear Algebra"},{"key":"59_CR12","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1215\/ijm\/1255630882","volume":"5","author":"M. Marcus","year":"1961","unstructured":"M. Marcus, H. Minc: On the relation between the determinant and the permanent. Ill. J. Math. 5 (1961), 376\u2013381.","journal-title":"Ill. J. Math."},{"key":"59_CR13","doi-asserted-by":"crossref","unstructured":"W. McCuaig: P\u00f3lya\u2019s permanent problem. Electron. J. Comb. 11 (2004). Research paper R79.","DOI":"10.37236\/1832"},{"key":"59_CR14","first-page":"271","volume":"20","author":"G. Polya","year":"1913","unstructured":"G. Polya: Aufgabe 424. Arch. Math. Phys. Ser. 3 20 (1913), 271.","journal-title":"Arch. Math. Phys. Ser. 3"},{"key":"59_CR15","doi-asserted-by":"crossref","first-page":"649","DOI":"10.2307\/2316574","volume":"78","author":"S. Reich","year":"1971","unstructured":"S. Reich: Another solution of an old problem of P\u00f3lya. Am. Math. Mon. 78 (1971), 649\u2013650.","journal-title":"Am. Math. Mon."},{"key":"59_CR16","first-page":"291","volume":"21","author":"G. Szego","year":"1913","unstructured":"G. Szego: L\u00f6sung zu Aufgabe 424. Arch. Math. Phys. Ser. 3 21 (1913), 291\u2013292.","journal-title":"Arch. Math. Phys. Ser. 3"},{"key":"59_CR17","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1134\/S0001434609010301","volume":"85","author":"V.E. Tarakanov","year":"2009","unstructured":"V.E. Tarakanov, R.A. Zatorski\u0131: A relationship between determinants and permanents. Math. Notes 85 (2009), 267\u2013273.","journal-title":"Math. Notes"}],"container-title":["Czechoslovak Mathematical Journal"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10587-011-0059-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T09:55:12Z","timestamp":1593597312000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10587-011-0059-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2011,12]]}},"alternative-id":["59"],"URL":"https:\/\/doi.org\/10.1007\/s10587-011-0059-1","relation":{},"ISSN":["0011-4642","1572-9141"],"issn-type":[{"value":"0011-4642","type":"print"},{"value":"1572-9141","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12]]}}}