Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Extend toeplksolvetoeplk to accept all combinations of ctransposed operands #7

Open
rluce opened this issue Oct 25, 2017 · 0 comments
Assignees

Comments

@rluce
Copy link
Owner

rluce commented Oct 25, 2017

The function |toeplksolvetoeplk| currently computes inv(TL1) * TL2, and this is used in both |mrdivide| and |mldivide| in |ToepMat|. However, the current implementation needs to transpose a lot, e.g.,

TL1 / TL2 = (TL2' \ TL1' )'

which makes generators unneccessarily long, and introduces additional roundoff from the explicit ctransposes involved.

Instead |toeplksolvetoeplk| could be extended so that both operands are used implicitly as ctransposed quantities. This change entails that the matrices involved need to be represented as Zp/Zm or Zm/Zp low-drank, which requires some carful thoughts upfront. One can draw, however, from the already existing functionality in |toeplksolve| and |toeplkmult|.

@rluce rluce self-assigned this Oct 25, 2017
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Projects
None yet
Development

No branches or pull requests

1 participant