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Re: [Coq-Club] Converting SSReflect Matrix into Vector of Vectors.

From: Vedran Čačić <veky AT math.hr>
To: coq-club AT inria.fr
Subject: Re: [Coq-Club] Converting SSReflect Matrix into Vector of Vectors.
Date: Mon, 25 Apr 2022 16:03:24 +0200
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Well, if you do it on both levels, then you have the function 'I_n -> 'I_m -> R, and then you only need currying to get your matrix. Also in the other direction, uncurry to get function of functions, and then convert both levels back to Vectors.

ned, 24. tra 2022. u 16:29 mukesh tiwari <mukeshtiwari.iiitm AT gmail.com> napisao je:

Hi everyone,

I plan to use the matrix inverse function [1] in my project, but in
another part of the
project matrix is defined as, 'Definition Matrix R n m := Vector.t
(Vector.t R n) m'.
My question is how can I convert 'Matrix R n m' to 'M[R]_n (matrix R n n) and
back. Basically, I need two functions:
1. f : Matrix R n n -> 'M[R]_n
2. g : 'M[R]_n -> Matrix R n n

If it is any helpful, I can easily
turn a vector, Vector.t R n, into a finite function, Fin.t n -> R, [2]
and vice versa [3] that
I learned from [4] (Programming Systems Lab, Saarland University github page).

Best,
Mukesh

[1] https://math-comp.github.io/htmldoc/mathcomp.algebra.matrix.html#MatrixInv
[2] https://gist.github.com/mukeshtiwari/60f7974383fe9760ee57eef2026c27ad#file-matfin-v-L48
[3] https://gist.github.com/mukeshtiwari/60f7974383fe9760ee57eef2026c27ad#file-matfin-v-L62
[4] https://github.com/uds-psl/base-library/blob/master/Vectors/Vectors.v

Vedran Čačić

[Coq-Club] Converting SSReflect Matrix into Vector of Vectors., mukesh tiwari, 04/24/2022
- Re: [Coq-Club] Converting SSReflect Matrix into Vector of Vectors., Vedran Čačić, 04/25/2022
- Re: [Coq-Club] Converting SSReflect Matrix into Vector of Vectors., Joshua Cohen, 04/25/2022
  - Re: [Coq-Club] Converting SSReflect Matrix into Vector of Vectors., mukesh tiwari, 04/25/2022