ITensor / ITensor/TensorAlgebra.jl

[ENHANCEMENT] Add `eigendecomp`

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enhancement
Dominant language
Julia
Stars
3
Forks
2
Avg merge
1h 11m
Merged PRs (30d)
4

Description

Add eigendecomp as an abstraction on top of eigen, which would factorize a tensor into a product of the right eigenvectors, the diagonal matrix of eigenvalues, and the left eigenvectors (https://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix#Eigendecomposition_of_a_matrix). In general the left and right eigenbases are inverses of each other, but in the case where the map is hermitian they are conjugates of each other.

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First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reading the existing eigen abstraction and its surrounding tests or entry points. Define the intended eigendecomp API from the stated factorization, including the relationship between left and right eigenvectors for Hermitian maps; done means the abstraction is implemented and verified for those cases.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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