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

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

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eeshan9815
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@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
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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
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