Zulip Chat Archive

Stream: Is there code for X?

Topic: psd matrices


Alex Zhang (Jul 05 2021 at 13:52):

Are positive semidefinite matrices defined in Mathlib? I only found "positive definite quadratic form" defined.

Heather Macbeth (Jul 05 2021 at 16:29):

Can you use the quadratic form definition in your application, or do you want something for endomorphisms?

Eric Wieser (Jul 05 2021 at 17:31):

Presumably you can chain docs#matrix.to_bilin with docs#bilin_form.to_quadratic_form, and then talk about M.to_bilin.to_quadratic_form.pos_def?

Eric Wieser (Jul 05 2021 at 17:34):

I guess that doesn't handle the S of psd

Alex Zhang (Jul 06 2021 at 04:09):

I think I am going to define them for matrices directly and prove lemmas connecting it to the defs for quadratic form perhaps.


Last updated: Dec 20 2023 at 11:08 UTC