Comments (2)
Hi,
unfortunately, there is no support for trigonometric functions. While in principle, it is possible to do homotopies for any analytic functions, our software only supports polynomial functions. The reason is that for polynomial systems there is a theory for start systems, so that the software can find all zeros of a given system. Such a theory does not exist for analytic functions, simply because there can be infinitely many roots (for instance,
In your example, the software correctly computes the 5 complex roots of f2
. One of them is real. The Taylor approximation is only good locally around 0, that is why you will not find
from homotopycontinuation.jl.
Closed
from homotopycontinuation.jl.
Related Issues (20)
- e not defined for sqrt() HOT 6
- Converting from Nemo.fmpq_mpoly to HomotopyContinuation.Expression HOT 3
- cache_min_length failing with empty iterator HOT 1
- Seed for mondromy not working as intended
- Symbolic linear system solving not supported by ModelKit HOT 2
- Issues dealing with BigFloat coefficients HOT 6
- find_start_pair failing on some linearly-parametrized square systems HOT 2
- `OP_POW` not defined HOT 5
- Add checkpoints for monodromy_solve
- HC fails to solve sanity check HOT 7
- Strange behaviour of numerical irreducible decomposition HOT 4
- Can't build a system with Unicode symbols in variable names HOT 2
- `Threads.resize_nthreads!` is deprecated HOT 1
- Non-real solution incorrectly certified as real
- Start System Complaints: Incorrect Rank Calculation HOT 2
- LaTeX pretty printing breaks for (negative) exponents HOT 2
- sing_accuracy not recognised as endgame parameter HOT 9
- Missing Solutions HOT 8
- Arblib dependencies incompatible with Oscar.jl HOT 3
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from homotopycontinuation.jl.