Timeline for Numerically expanding a function in a rational-power "basis"
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 23, 2022 at 21:57 | comment | added | Daniel Shapero | If you're asking about approximating a function by sums of rational powers, you'll want to have a look at Puiseux series. Whether or not this gives you some advantage for approximating a particular function like a Gaussian is another question; I have a hunch that you'll do better with the same number of coefficients using Padé but that's just a guess. | |
| Aug 23, 2022 at 14:42 | comment | added | Anti Earth | @BrendanMcKay even if I have no nomination of which exponents of the uncountably infinitely many to fix, and optimise the coefficients thereof? | |
| Aug 23, 2022 at 14:15 | comment | added | Brendan McKay | Software for nonlinear least-squares regression can find parameters. You should ask in a statistics forum. | |
| Aug 23, 2022 at 13:53 | history | edited | Anti Earth | CC BY-SA 4.0 |
removing erroneous mention of Padé approximants
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| Aug 23, 2022 at 13:52 | comment | added | Anti Earth | @FedericoPoloni ah you helped me find a very unexpected bug in my notebook haha, thank you! Scratch my every mention of Padé approximants | |
| Aug 23, 2022 at 13:24 | comment | added | Federico Poloni | Exactly -- how is something like $\frac{1+\frac{x}2 + \frac{x^2}{12}}{1-\frac{x}2 + \frac{x^2}{12}}$, which is the $(2,2)$ Padé approximant to $\exp(x)$, in that format? | |
| Aug 23, 2022 at 13:05 | comment | added | Anti Earth | @FedericoPoloni I feed diagonal Padé approximants using this Mathematica function (second overload) | |
| Aug 23, 2022 at 12:48 | comment | added | Federico Poloni | I am confused by the fact that you can feed the library Padé approximants. They don't seem to be in the acceptable form, because they have poles in places other than zero. What am I missing? | |
| Aug 23, 2022 at 12:35 | history | edited | YCor |
edited tags
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| S Aug 23, 2022 at 11:57 | review | First questions | |||
| Aug 23, 2022 at 14:12 | |||||
| S Aug 23, 2022 at 11:57 | history | asked | Anti Earth | CC BY-SA 4.0 |