# \#newton-raphson

**URL:** https://discourse.julialang.org/tag/newton-raphson/448.md

[Latest](https://discourse.julialang.org/latest.md) · [Categories](https://discourse.julialang.org/categories.md) · [Tags](https://discourse.julialang.org/tags.md)

---

## [Rank-deficient jacobian error in Newton-Raphson method for unstable limit cycle refinement](https://discourse.julialang.org/t/rank-deficient-jacobian-error-in-newton-raphson-method-for-unstable-limit-cycle-refinement/129975)

<div class="topic-metadata">

**Author:** [@R.Kanakov](https://discourse.julialang.org/u/R.Kanakov)\
**Replies:** 3\
**Last updated:** [June 17, 2025, 10:20pm UTC](https://discourse.julialang.org/t/rank-deficient-jacobian-error-in-newton-raphson-method-for-unstable-limit-cycle-refinement/129975 "2025-06-17T22:20:57Z")

</div>

I am trying to refine the position of an unstable limit cycle within a chaotic attractor using the Newton-Raphson method, but I am running into a confusing error related to a rank-deficient matrix. To avoid degeneracy o…

---

## [Newton + LineSearch in Hot Loop: Reduce allocations](https://discourse.julialang.org/t/newton-linesearch-in-hot-loop-reduce-allocations/122585)

<div class="topic-metadata">

**Author:** [@DanDoe](https://discourse.julialang.org/u/DanDoe)\
**Replies:** 6\
**Last updated:** [November 14, 2024, 8:08am UTC](https://discourse.julialang.org/t/newton-linesearch-in-hot-loop-reduce-allocations/122585 "2024-11-14T08:08:18Z")

</div>

I really like the NLsolve.jl package in conjunction with LineSearches.jl - great stuff! I have a scalar, relatively simple nonlinear equation that I can solve using res = nlsolve(gamma -\> f(gamma\[1\], bla, bla, bla), …

---

## [Root finding with zero lower bound](https://discourse.julialang.org/t/root-finding-with-zero-lower-bound/104970)

<div class="topic-metadata">

**Author:** [@JakeWren](https://discourse.julialang.org/u/JakeWren)\
**Replies:** 2\
**Last updated:** [October 16, 2023, 11:03am UTC](https://discourse.julialang.org/t/root-finding-with-zero-lower-bound/104970 "2023-10-16T11:03:23Z")

</div>

Hi, I want to use: find\_zero((f,fp), x\_{0}, Roots.Newton()) for root finding. However, my domain is non-negative. Is there a way to impose this? Thanks!

---

## [Solve system of nonlinear equations w/ Newton-Raphson iteration](https://discourse.julialang.org/t/solve-system-of-nonlinear-equations-w-newton-raphson-iteration/44383)

<div class="topic-metadata">

**Author:** [@Albert\_Zevelev](https://discourse.julialang.org/u/Albert_Zevelev)\
**Replies:** 10\
**Last updated:** [August 6, 2020, 5:31am UTC](https://discourse.julialang.org/t/solve-system-of-nonlinear-equations-w-newton-raphson-iteration/44383 "2020-08-06T05:31:00Z")

</div>

Consider a boring system of 4 nonlinear equations in 4 variables: a=bcd a+b=cd a+b+c=d a+b+c+d=1 Solution: (a,b,c,d)=(\\frac{1}{42}, \\frac{1}{7}, \\frac{1}{3}, \\frac{1}{2}) My code: using Zygote; NR(x0) = x0 - (fp(x…