Timeline for nonlinear equation problem
Current License: CC BY-SA 4.0
23 events
| when toggle format | what | by | license | comment | |
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| Sep 19, 2023 at 23:51 | comment | added | Gerry Myerson | Never mind, Iman, I did it myself. | |
| Sep 19, 2023 at 23:50 | history | edited | Gerry Myerson | CC BY-SA 4.0 |
deleted misleading word
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| Sep 19, 2023 at 20:22 | comment | added | Pietro Majer | And one may also absorb the coefficients $a_i$, letting $y_i:=a_i^{1/3}x_i$ and $K'_{ij}:=a_i^{-1/3}K_{ij}a_j^{-1/3}$, still a symmetric semi-definite matrix with non-negative coefficients. The equation then writes $y_i^2=\sum_j K'_{ij}y_j$. | |
| Sep 19, 2023 at 20:13 | answer | added | Pietro Majer | timeline score: 2 | |
| Sep 19, 2023 at 20:12 | comment | added | David Roberts♦ | This is equivalent to $a_i x_i^2 =\sum_j K_{ij} x_j$, for $x_i=z_i^{-1}$, it seems. | |
| Sep 19, 2023 at 16:59 | comment | added | Iman Nodozi | @PietroMajer, yes. | |
| Sep 19, 2023 at 16:59 | comment | added | Iman Nodozi | @DavidRoberts, I added your equation to the main question. | |
| Sep 19, 2023 at 16:57 | history | edited | Iman Nodozi | CC BY-SA 4.0 |
added 177 characters in body
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| Sep 19, 2023 at 15:14 | comment | added | Pietro Majer | Do you want a solution $z$ with positive coefficients? | |
| Sep 19, 2023 at 10:49 | history | edited | YCor |
edited tags
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| Sep 19, 2023 at 7:43 | comment | added | Max Horn | Ah, I see, the interpretation by David Roberts makes sense, I guess -- and I agree it would be better to use that in the question (assuming it is indeed what Iman intended to ask? If not, all the more reason to clarify the question) | |
| Sep 19, 2023 at 6:09 | comment | added | David Roberts♦ | @ImanNodozi I suggest editing the question to use the equation in my comment and dispense with the (to me) novel notation for the operations. Everyone here would be comfortable with index notation. | |
| Sep 19, 2023 at 6:04 | comment | added | Iman Nodozi | @DavidRoberts, Yes, you are right. | |
| Sep 19, 2023 at 4:51 | comment | added | David Roberts♦ | @MichaelRenardy I would have thought it was $a_i = \sum_j z_i^2K_{ij}z_j^{-1}$, based on the description in the post. | |
| Sep 19, 2023 at 3:30 | comment | added | Gerry Myerson | Then maybe you should remove the misleading word "another" from your post, Iman. | |
| Sep 19, 2023 at 3:21 | comment | added | Iman Nodozi | @GerryMyerson, I have tried solving it analytically but couldn't find a solution. I also attempted using Matlab's 'fsolve ' function but without success. | |
| Sep 19, 2023 at 3:19 | comment | added | Iman Nodozi | @JohnOmielan, I removed the extra parameters. | |
| Sep 19, 2023 at 3:16 | history | edited | Iman Nodozi | CC BY-SA 4.0 |
deleted 46 characters in body
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| Sep 19, 2023 at 2:57 | comment | added | Michael Renardy | I know some folks avoid indices at all costs, but this often makes it more difficult to understand what is intended. Do you mean: $a_i=\sum_{j,k} z_iz_jK_{jk}z_k^{-1}$? If not, please clarify. | |
| Sep 19, 2023 at 2:25 | comment | added | Gerry Myerson | When you ask, "Is there another approach...", that indicates that you already know (at least) one approach. Please tell us what approach(es) you already know, so we don't waste time and effort telling you things you already know. | |
| Sep 18, 2023 at 23:42 | review | Close votes | |||
| Sep 26, 2023 at 3:05 | |||||
| S Sep 18, 2023 at 23:14 | review | First questions | |||
| Sep 19, 2023 at 2:57 | |||||
| S Sep 18, 2023 at 23:14 | history | asked | Iman Nodozi | CC BY-SA 4.0 |