Talk by Trefethen: Continous Linear Algebra

Stream: general

[Joh-Tob Schäg]

I just wanted to share this neat talk about a piece of math (without any proofs).
https://youtu.be/AjSeOdCbSlk?t=1756
The TL;DW:
What if we interpret linear operators as a kind of quasi matrix? Matrix decompositions which have meaningful analogs in the space. We can also define block operators which have sub-matrices and sub operators.

[Eric Wieser]

This looks like quite a well-designed software library, and using chebyshev series truncated at machine precision seems like a clever approach.

[Eric Wieser]

You could argue that docs#matrix supports what is referred to as a "quasimatrix" there

[Eric Wieser]

But you'd need to be careful that your 'continuous vectors' (aka functions) are suitably integrable