Computing high precision Matrix Padé approximants
| العنوان: | Computing high precision Matrix Padé approximants |
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| المؤلفون: | Luca Perotti, D. Bessis, Daniel Vrinceanu, Bernhard Beckermann |
| المصدر: | Numerical Algorithms. 61:189-208 |
| بيانات النشر: | Springer Science and Business Media LLC, 2012. |
| سنة النشر: | 2012 |
| مصطلحات موضوعية: | Matrix (mathematics), Series (mathematics), Sampling (signal processing), Applied Mathematics, Numerical analysis, Mathematical analysis, Theory of computation, Applied mathematics, Padé approximant, Equidistant, Mathematics, Integer (computer science) |
| الوصف: | We describe a new method of computing matrix Pade approximants of series with integer data in an efficient and fraction-free way, by controlling the growth of the size of intermediate coefficients. This algorithm is applied to compute high precision Pade approximants of matrix-valued generating functions of time series. As an illustration we show that we can successfully recover from noisy equidistant sampling data a joint damped signal of four antenna, even in the presence of background signals. |
| تدمد: | 1572-9265 1017-1398 |
| DOI: | 10.1007/s11075-012-9596-4 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::6eb04c82a859168ca37e1df9b11b1568 https://doi.org/10.1007/s11075-012-9596-4 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........6eb04c82a859168ca37e1df9b11b1568 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15729265 10171398 |
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| DOI: | 10.1007/s11075-012-9596-4 |