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