Skip to content

Commit

Permalink
Add references
Browse files Browse the repository at this point in the history
  • Loading branch information
emmt committed Sep 22, 2023
1 parent df1e5e9 commit 194caee
Showing 1 changed file with 32 additions and 0 deletions.
32 changes: 32 additions & 0 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -183,3 +183,35 @@ Assuming `n = length(x)` is the number of variables, then:
- `neqconstr` (default `nothing`) may be specified as a tuple `(A,b)` to
represent linear inequality constraints. Feasible variables are such that
`A'⋅x ≤ b` holds elementwise.

## References

The following 5 first references respectively describe `cobyla`, `uobyqa`,
`newuoa`, `bobyqa`, and `lincoa`; the last reference summarizes all these
methods and provides a good and comprehensive introduction to Powell's
algorithms.

1. M.J.D. Powell, *"A direct search optimization method that models the
objective and constraint functions by linear interpolation"* in Advances in
Optimization and Numerical Analysis Mathematics and Its Applications, vol.
**275**, pp. 51-67 (1994).

2. M.J.D. Powell, *"UOBYQA: unconstrained optimization by quadratic
approximation"*, in Mathematical Programming, vol. **92**, pp. 555-582
(2002) [DOI](https://doi.org/10.1007/s101070100290).

3. M.J.D. Powell, *"The NEWUOA software for unconstrained optimization without
derivatives"*, in Nonconvex Optimization and Its Applications, pp. 255-297
(2006).

4. M.J.D. Powell, *"The BOBYQA algorithm for bound constrained optimization
without derivatives"*, Department of Applied Mathematics and Theoretical
Physics, Cambridge, England, Technical Report NA2009/06 (2009).

5. M.J.D. Powell, *"On fast trust region methods for quadratic models with
linear constraints"*, Technical Report of the Department of Applied
Mathematics and Theoretical Physics, Cambridge University (2014).

6. T.M. Ragonneau & Z. Zhang, *"PDFO: A Cross-Platform Package for Powell's
Derivative-Free Optimization Solvers"*,
[arXiv](https://doi.org/10.48550/arXiv.2302.13246) (2023).

0 comments on commit 194caee

Please sign in to comment.