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https://hdl.handle.net/10316/100919| Title: | Bounds for the zeros of unilateral octonionic polynomials | Authors: | Serôdio, Rogério Beites, P. D. Vitória, José |
Keywords: | Octonions; octonionic polynomials; matricial norms; bounds for the zeros | Issue Date: | 2021 | Project: | FCT project UIDB/00212/2020 of CMA-UBI MINECO (Ministerio de Asuntos Económicos y Transformación Digital, Spain), project MTM2017-83506-C2-2-P |
Serial title, monograph or event: | Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica | Volume: | 29 | Issue: | 3 | Abstract: | In the present work it is proved that the zeros of a unilateral octo- nionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix. This allows the use of matricial norms, and matrix norms in particular, to obtain upper and lower bounds for the zeros of unilateral octonionic polynomials. Some results valid for complex and/or matrix polynomials are extended to octonionic polyno- mials. | URI: | https://hdl.handle.net/10316/100919 | ISSN: | 1844-0835 | DOI: | 10.2478/auom-2021-0043 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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| Bounds-for-the-zeros-of-unilateral-octonionic-polynomialsAnalele-Stiintifice-ale-Universitatii-Ovidius-Constanta-Seria-Matematica.pdf | 562.69 kB | Adobe PDF | View/Open |
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