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I am attempting to use the monodromy_solve function on a complex system of polynomials of high degree, but I am obtaining the warning message Warning: None of the provided solutions is a valid start solution. from monodromy.jl:788.
I attempted to implement a very simple system to better understand how to use the monodromy_solve function, however I seem to be having getting the same error.
@var r[1:2]
@var q
f1 = r[1]^2+ r[2]^2
f2 = r[1]^2- r[2]^2
mres =monodromy_solve(
System([
f1 * q,
f2 * q
],
parameters=[q]
),
[0f0 ; 0f0],
[1f0],
)
println(mres)
┌ Warning: None of the provided solutions is a valid start solution.
└ @ HomotopyContinuation ...\HomotopyContinuation\I1faM\src\monodromy.jl:788
MonodromyResult
===============
• return_code →:invalid_startvalue
• 0 solutions
• 0 tracked loops
• random_seed →0x87e6b94c
Clearly, the starting point [0,0] is a solution given f1(0, 0) == 0 and f2(0, 0) == 0. As such, I do not understand why it is reporting that the starting point is invalid and I feel that I must be misusing the API/monodromy in a way that is not obvious to me.
Additionally, I have a version of the code working for the 1D case, but only get this error message when dealing with a multivariate system.
Versions used :
julia : Version 1.7.2 (2022-02-06)
HomotopyContinuation : 2.6.4
The text was updated successfully, but these errors were encountered:
I think we need to improve our error messages here. For us, a valid start solution is a non-singular start solution (i.e. the Jacobian needs to have full column-rank) . However, for your system the Jacobian of [f1,f2] at (0,0) is [0 0; 0 0] and therefore the solution is considered invalid.
I am attempting to use the
monodromy_solve
function on a complex system of polynomials of high degree, but I am obtaining the warning messageWarning: None of the provided solutions is a valid start solution.
frommonodromy.jl:788
.I attempted to implement a very simple system to better understand how to use the
monodromy_solve
function, however I seem to be having getting the same error.Clearly, the starting point [0,0] is a solution given
f1(0, 0) == 0
andf2(0, 0) == 0
. As such, I do not understand why it is reporting that the starting point is invalid and I feel that I must be misusing the API/monodromy in a way that is not obvious to me.Additionally, I have a version of the code working for the 1D case, but only get this error message when dealing with a multivariate system.
Versions used :
The text was updated successfully, but these errors were encountered: