jp/deflation (#5)

* hook in deflation to the Newton iteration

* Reduce number of inner-products computations for the deflation mechanism and include the first example where 9 solutions are found.

* make code compatible with setup before deflation

* Type friendliness and unit test for deflation

* readd removed test

* readd removed test

* Type robustness and Julia naming convention changes

* tests pass

* Use custom ForwardDiff.jl branch

Co-authored-by: Sheehan Olver <[email protected]>

Author: ioannisPApapadopoulos

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