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.

Sign up for GitHub

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

Jump to bottom

[WIP] Multidimensional Interval Newton Method to solve a system of non-linear equations #81

Open
wants to merge 36 commits into
base: master
Choose a base branch
from
Open

[WIP] Multidimensional Interval Newton Method to solve a system of non-linear equations #81

wants to merge 36 commits into from

Conversation

eeshan9815
Copy link
Contributor

eeshan9815 added 30 commits May 22, 2018 16:03
@eeshan9815
Add automatic slope evaluation
79a828f
@eeshan9815
Add functions which return derivative for completeness (outer bound)
c9f0305
@eeshan9815
Add benchmarking and data
0c76318
@eeshan9815
Add tests
f837caf
@eeshan9815
Incorporate review comments
7b67107
@eeshan9815
Use concrete types and add BigFloat tests
3cd778a
@eeshan9815
Add slope function for multidim case with tests and benchmarks
8500a99
@eeshan9815
Add debug mode and bug fixes
6257f20
@eeshan9815
Add tests
aa50d91
@eeshan9815
Major robustness improvements and hard test cases added
1412b1f
@eeshan9815
Add slope interval newton method
9086afc
@eeshan9815
Add slope function for multidim case with tests and benchmarks
2bb8c89
@eeshan9815
Add Gauss-Seidel method
deb8878
@eeshan9815
Use StaticArrays and add benchmarking
41368ed
@eeshan9815
Add benchmark script
d337490
@eeshan9815
Add another version with StaticArrays
2c08d6c
@eeshan9815
contractor approach
a105c0e
@eeshan9815
Add tests
44f93ab
@eeshan9815
replace deepcopy with copy
55b7999
@eeshan9815
Add test dependency
2b95f04
@eeshan9815
another method with a static vector x
db8710f
@eeshan9815
bug fix
7ee7ca6
@eeshan9815
Display benchmark data in a table
b1cb7a5
@eeshan9815
add tabular results
168aff6
@eeshan9815
make results more readable
8173166
@eeshan9815
generalized the various implementation
1388397
@eeshan9815
Add Gauss Elimination with preconditioning
7c9cbd9
@eeshan9815
Add benchmarking data
1d8b6b1
@eeshan9815
Add tests and fix typos
f4a6b53
@eeshan9815
Add examples
fa378a8
@eeshan9815
Copy link
Contributor Author

This is currently an initial implementation mostly because I am having some difficulty getting linear_hull to work with this. Using Gaussian Elimination works fine for now.
I should be able to fix this soon, and update the PR.

@eeshan9815 eeshan9815 changed the title Multidimensional Interval Newton Method to solve a system of non-linear equations [WIP]Multidimensional Interval Newton Method to solve a system of non-linear equations Jun 10, 2018
@dpsanders dpsanders changed the title [WIP]Multidimensional Interval Newton Method to solve a system of non-linear equations [WIP] Multidimensional Interval Newton Method to solve a system of non-linear equations Feb 2, 2019
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Reviewers
No reviews
Assignees
No one assigned
Labels
None yet
Projects
None yet
Milestone
No milestone
Development

Successfully merging this pull request may close these issues.
1 participant
@eeshan9815