Talk:Generalized pencil-of-function method

Systems Mid‑importance

	Systems science portal This article is within the scope of WikiProject Systems, which collaborates on articles related to systems and systems science.SystemsWikipedia:WikiProject SystemsTemplate:WikiProject SystemsSystems articles
Mid	This article has been rated as Mid-importance on the project's importance scale.
	This article is not associated with a particular field. Fields are listed on the template page.

Computing

	This article is within the scope of WikiProject Computing, a collaborative effort to improve the coverage of computers, computing, and information technology on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.ComputingWikipedia:WikiProject ComputingTemplate:WikiProject ComputingComputing articles
???	This article has not yet received a rating on the project's importance scale.

Engineering

	Engineering portal This article is within the scope of WikiProject Engineering, a collaborative effort to improve the coverage of engineering on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.EngineeringWikipedia:WikiProject EngineeringTemplate:WikiProject EngineeringEngineering articles
???	This article has not yet received a rating on the project's importance scale.

Clarification by editing

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 $x(i)$ ?

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

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)} ?

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