Talk:Generalized pencil-of-function method
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Clarification by editing
editReading this article has really been a big help to me at understanding how I may retrieve more information from a response function, more specifically the response of the temperature inside my house to outdoor (weather) as well as indoor (e.g. gas heating) influences from measurement data over a long time interval. (If I can discover enough response in the form of slowly decaying exponentials, that would suggest insulating the thermally slow parts of house is worthwhile.)
But I would like to suggest some edits in order to make understanding the flow (not necessarily the details; that might be too much to expect from a Wikipedia article) of the text easier. I am thinking of:
- defining , before it is used;
- defining and explaining how it is obtained, before it is used;
- and maybe, if that is not already a detail, explaining why and represent the eigenvectors of and .Redav (talk) 21:37, 1 June 2020 (UTC)
![{\displaystyle [\Sigma ']}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e171ffc460ad179c14dde5d02c8e18172ac2189e)
![{\displaystyle [V']}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4bcb3df8439df6c9b119858ca953a63b6018c6ca)
![{\textstyle [Y][Y]^{H}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fff8e8675dc27944a8c9c0efd11e2d68c1b6044c)
![{\textstyle [Y]^{H}[Y]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/474d954653189245965800d72ed8ba3e4bec1919)
![{\textstyle [U]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4971983eb96b8a3e1135751ca04f8c4d7aaddde3)
![{\textstyle [V]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c939eda2271a4d0737dc2ff298432af165e7a7b9)
Why not use names and for matrices containing elements called ?
edit![{\displaystyle [X_{1}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/36d30a78d33f7eb45c0cdea36db9f91b77d4e3bc)
![{\displaystyle [X_{2}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/39a86d5a532c67f8aa325807614da96a4d6d5ea5)
The article uses notation and for matrices containing . For ease of reading, I propose using and instead.Redav (talk) 20:13, 26 May 2021 (UTC)
![{\displaystyle [Y_{1}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7476cf2024ace1d18bdb4d6259d636bdb40ccb6c)
![{\displaystyle [Y_{2}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a58477cd6076d847d4e95a9769b1918d855827b9)