Talk:Generalized pencil-of-function method

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Clarification by editing[edit]

Reading 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 $[\Sigma ']$ , before it is used;
defining $[V']$ and explaining how it is obtained, before it is used;
and maybe, if that is not already a detail, explaining why ${\textstyle [Y][Y]^{H}}$ and ${\textstyle [Y]^{H}[Y]}$ represent the eigenvectors of ${\textstyle [U]}$ and ${\textstyle [V]}$ .Redav (talk) 21:37, 1 June 2020 (UTC)[reply]

Why not use names $[X_{1}]$ and $[X_{2}]$ for matrices containing elements called $x(i)$ ?[edit]

The article uses notation $[Y_{1}]$ and $[Y_{2}]$ for matrices containing $x(i)$ . For ease of reading, I propose using $[X_{1}]$ and $[X_{2}]$ instead.Redav (talk) 20:13, 26 May 2021 (UTC)[reply]

Clarification by editing[edit]

Why not use names [ X 1 ] {\displaystyle [X_{1}]} and [ X 2 ] {\displaystyle [X_{2}]} for matrices containing elements called x ( i ) {\displaystyle x(i)} ?[edit]

Why not use names $[X_{1}]$ and $[X_{2}]$ for matrices containing elements called $x(i)$ ?[edit]