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17 changes: 9 additions & 8 deletions src/newton.jl
Original file line number Diff line number Diff line change
Expand Up @@ -5,8 +5,9 @@ Finds roots of f!(y, x) using Newton's method.

# Arguments
- `f!`: Function that mutates y in place with the residual vector
- `y`: Solution vector
- `x`: Initial guess
- `y`: Solution vector


# Keyword arguments
- `abstol`: Convergence absolute tolerance (default: 1e-13)
Expand All @@ -17,8 +18,8 @@ Returns `NamedTuple` containing newton search results.
"""
function newton!(
f!::Function, # DO NOT SPECIALIZE ON FUNCTION! This is the mistake SciML makes...
y::Y,
x::X,
y::Y,
p; # Parameters
reltol=1e-13,
abstol=1e-13,
Expand All @@ -39,9 +40,9 @@ function newton!(
if S
eg = eigen(jac)
stable = all(t->norm(t)<=1, eg.values)
return (;u=y, converged=true, n_iters=iter, stable=stable)
return (;u=x, converged=true, n_iters=iter, stable=stable)
else
return (;u=y, converged=true, n_iters=iter)
return (;u=x, converged=true, n_iters=iter)
end
end
# store in y
Expand All @@ -51,16 +52,16 @@ function newton!(
if S
eg = eigen(jac)
stable = all(t->norm(t)<=1, eg.values)
return (;u=y, converged=true, n_iters=iter, stable=stable)
return (;u=x, converged=true, n_iters=iter, stable=stable)
else
return (;u=y, converged=true, n_iters=iter)
return (;u=x, converged=true, n_iters=iter)
end
end
x .= x .+ y
end
if S
return (;u=y, converged=false, n_iters=max_iter, stable=false)
return (;u=x, converged=false, n_iters=max_iter, stable=false)
else
return (;u=y, converged=false, n_iters=max_iter)
return (;u=x, converged=false, n_iters=max_iter)
end
end