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http://hdl.handle.net/2445/172911| Title: | A sequence of polynomials with optimal condition number |
| Author: | Beltrán, Carlos Etayo, Ujué Marzo Sánchez, Jordi Ortega Cerdà, Joaquim |
| Keywords: | Anàlisi numèrica Algorismes Anàlisi global (Matemàtica) Numerical analysis Algorithms Global analysis (Mathematics) |
| Issue Date: | 1-Jan-2021 |
| Publisher: | American Mathematical Society (AMS) |
| Abstract: | We find an explicit sequence of univariate polynomials of arbitrary degree with optimal condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1090/jams/956 |
| It is part of: | Journal of the American Mathematical Society, 2021, vol. 34, num. 1, p. 219-244 |
| URI: | http://hdl.handle.net/2445/172911 |
| Related resource: | https://doi.org/10.1090/jams/956 |
| ISSN: | 0894-0347 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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|---|---|---|---|---|
| 700566.pdf | 400.5 kB | Adobe PDF | View/Open |
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