{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,15]],"date-time":"2024-09-15T14:13:38Z","timestamp":1726409618671},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319499826"},{"type":"electronic","value":"9783319499840"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-49984-0_13","type":"book-chapter","created":{"date-parts":[[2017,3,3]],"date-time":"2017-03-03T05:52:11Z","timestamp":1488520331000},"page":"181-197","source":"Crossref","is-referenced-by-count":0,"title":["The Characteristic Polynomial of Linear Pencils of Small Size and the Numerical Range"],"prefix":"10.1007","author":[{"given":"Nat\u00e1lia","family":"Bebiano","sequence":"first","affiliation":[]},{"given":"Jo\u00e3o","family":"da Provid\u00eancia","sequence":"additional","affiliation":[]},{"given":"Fatemeh","family":"Esmaeili","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,3,4]]},"reference":[{"key":"13_CR1","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1112\/plms\/s1-22.1.104","volume":"22","author":"WWR Ball","year":"1890","unstructured":"Ball, W.W.R.: On Newton\u2019s classification of cubic curves. Proc. Lond. Math. Soc. 22, 104\u2013143 (1890)","journal-title":"Proc. Lond. Math. Soc."},{"key":"13_CR2","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.laa.2004.04.021","volume":"399","author":"N Bebiano","year":"2005","unstructured":"Bebiano, N., Lemos, R., da Provid\u0139encia, J., Soares, G.: On the geometry of numerical ranges in spaces with an indefinite inner product. Linear Algebr. Appl. 399, 17\u201334 (2005)","journal-title":"Linear Algebr. Appl."},{"key":"13_CR3","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/s10587-009-0016-4","volume":"59","author":"N Bebiano","year":"2009","unstructured":"Bebiano, N., da Providencia, J., Teixeira, R.: Indefinite numerical range of $$3\\times 3$$ 3 \u00d7 3 matrices. Czechoslov. Math. J. 59, 221\u2013239 (2009)","journal-title":"Czechoslov. Math. J."},{"key":"13_CR4","unstructured":"Bebiano, N., da Providencia, J., Nata, A., Providencia, J.P.: Fields of values of linear pencils and spectral inclusion regions, in this volume"},{"key":"13_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-5097-1","volume-title":"Plane Algebraic Curves","author":"E Brieskorn","year":"1986","unstructured":"Brieskorn, E., Kn\u00f6rrer, H.: Plane Algebraic Curves. Birkh\u00e4user Verlag, Basel (1986)"},{"key":"13_CR6","volume-title":"Indefinite Linear Algebra and Applications","author":"I Gohberg","year":"2005","unstructured":"Gohberg, I., Lancaster, P., Rodman, L.: Indefinite Linear Algebra and Applications. Birkh\u00e4user Verlag, Basel (2005)"},{"key":"13_CR7","volume-title":"Numerical Range, The Field of Values of Linear Operators and Matrices","author":"KE Gustafson","year":"1997","unstructured":"Gustafson, K.E., Rao, D.K.M.: Numerical Range, The Field of Values of Linear Operators and Matrices. Springer, New York (1997)"},{"key":"13_CR8","first-page":"98","volume":"38","author":"ME Hochstenbach","year":"2011","unstructured":"Hochstenbach, M.E.: Fields of values and inclusion regions for matrix pencils. Electron. Trans. Numer. Anal. 38, 98\u2013112 (2011)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"13_CR9","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1002\/mana.19510060306","volume":"6","author":"R Kippenhahn","year":"1951","unstructured":"Kippenhahn, R.: \u00dcber der wertevorrat einer matrix. Math. Nachr. 6, 193\u2013228 (1951)","journal-title":"Math. Nachr."},{"key":"13_CR10","doi-asserted-by":"crossref","first-page":"1256","DOI":"10.1137\/S0895479893249630","volume":"15","author":"C-K Li","year":"1994","unstructured":"Li, C.-K., Rodman, L.: Numerical range of matrix polynomials. SIAM J. Matrix Anal. Appl. 15, 1256\u20131265 (1994)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"13_CR11","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1073\/pnas.18.3.246","volume":"18","author":"FD Murnaghan","year":"1932","unstructured":"Murnaghan, F.D.: On the field of values of a square matrix. Proc. Nat. Acad. Sci. USA 18, 246\u2013248 (1932)","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"13_CR12","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/S0024-3795(01)00374-3","volume":"338","author":"H Nakazato","year":"2001","unstructured":"Nakazato, H., Psarrakos, P.: On the shape of numerical range of matrix polynomials. Linear Algebr. Appl. 338, 105\u2013123 (2001)","journal-title":"Linear Algebr. Appl."},{"key":"13_CR13","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/S0024-3795(00)00145-2","volume":"317","author":"P Psarrakos","year":"2000","unstructured":"Psarrakos, P.: Numerical range of linear pencils. Linear Algebr. Appl. 317, 127\u2013141 (2000)","journal-title":"Linear Algebr. Appl."},{"key":"13_CR14","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0024-3795(82)90212-9","volume":"45","author":"H Shapiro","year":"1982","unstructured":"Shapiro, H.: A conjecture of Kippenhahn about the characteristic polynomial of a pencil generated by two Hermitian matrices II. Linear Algebr. Appl. 45, 97\u2013108 (1982)","journal-title":"Linear Algebr. Appl."}],"container-title":["Springer Proceedings in Mathematics & Statistics","Applied and Computational Matrix Analysis"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-49984-0_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T11:49:03Z","timestamp":1498391343000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-49984-0_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319499826","9783319499840"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-49984-0_13","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"type":"print","value":"2194-1009"},{"type":"electronic","value":"2194-1017"}],"subject":[],"published":{"date-parts":[[2017]]}}}