Nonlinear Solvers
Select and configure nonlinear solvers for root-finding f(x)=0, optimization min F(x), and least-squares problems — choose among Newton, Newton-Krylov, quasi-Newton (BFGS, L-BFGS), Broyden, Anderson acceleration, and Levenberg-Marquardt methods, configure line search or trust-region globalization, diagnose convergence rate (quadratic, linear, stagnated), and assess Jacobian quality and conditioning. Use when a Newton solver converges slowly or diverges, choosing between line search and trust region, debugging nonlinear iteration failures in FEM or phase-field codes, or selecting a solver for large-scale unconstrained optimization, even if the user only says "my Newton iterations aren't converging."
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What this skill does
Nonlinear Solvers is a community-contributed Claude Code skill in the tools-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/nonlinear-solvers/ and loads when your prompt matches the skill's trigger.
When to invoke it: Use when a Newton solver converges slowly or diverges, choosing between line search and trust region, debugging nonlinear iteration failures in FEM or phase-field codes, or selecting a solver for large-scale unconstrained optimization, even if the user only says "my Newton iterations aren't converging.
Who uses this skill
The Nonlinear Solvers Claude Code skill is built for developers, power users, and teams automating repetitive workflows and improving developer experience. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 184,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).
How to install
Free
Manual install (2 steps)
mkdir -p ~/.claude/skills/nonlinear-solvers
curl -L https://claudskills.com/skills/nonlinear-solvers/SKILL.md \
-o ~/.claude/skills/nonlinear-solvers/SKILL.md
Or just download SKILL.md directly and drop it into ~/.claude/skills/nonlinear-solvers/. Claude Code auto-discovers it on next session.
Skills live at ~/.claude/skills/nonlinear-solvers/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\nonlinear-solvers\SKILL.md on Windows. See the full install guide for step-by-step instructions.
Telegram
📱 Install from your phone or desktop Telegram
Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →
Pro
One-click install via the desktop app
The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.
Pro
For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.
Frequently asked questions
How do I install the Nonlinear Solvers Claude Code skill?
Install via the ClaudSkills desktop app (one click) or copy
SKILL.md from the source repository to
~/.claude/skills/nonlinear-solvers/SKILL.md and restart Claude Code. Both flows are detailed at
claudskills.com/install/.
What does the Nonlinear Solvers skill do?
Select and configure nonlinear solvers for root-finding f(x)=0, optimization min F(x), and least-squares problems — choose among Newton, Newton-Krylov, quasi-Newton (BFGS, L-BFGS), Broyden, Anderson acceleration, and Levenberg-Marquardt methods, configure line search or trust-region globalization, diagnose convergence rate (quadratic, linear, stagnated), and assess Jacobian quality and conditioning. Use when a Newton solver converges slowly or diverges, choosing between line search and trust region, debugging nonlinear iteration failures in FEM or phase-field codes, or selecting a solver for large-scale unconstrained optimization, even if the user only says "my Newton iterations aren't converging."
Is this skill free to install?
Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.
When should I use the Nonlinear Solvers skill?
Use Nonlinear Solvers when your Claude Code task falls under the Dev Tools category — specifically in the tools misc area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Nonlinear Solvers" or describe the task and let Claude pick). Browse related skills at
/category/tools/.
What is a Claude Code skill and how does the Nonlinear Solvers skill fit in?
A Claude Code skill is a
SKILL.md file that lives under
~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Nonlinear Solvers is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Dev Tools category. Learn more at
/learn/what-is-a-claude-skill/.
Attribution & license
Cite this skill
If you reference this skill in a blog post, paper, or documentation, you can cite it as:
APA
FreedomIntelligence. (2026). Nonlinear Solvers [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/nonlinear-solvers/
BibTeX
@misc{nonlinear-solvers-2026,
author = {FreedomIntelligence},
title = {Nonlinear Solvers [Claude Code skill]},
year = {2026},
publisher = {ClaudSkills},
url = {https://claudskills.com/skills/nonlinear-solvers/}
}Embed this skill
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Security scan
Grade A · scanned 2026-08-13 — free static scan against the OWASP Agentic Skills Top 10.
The scan flagged 1 of 10 categories (execution), including lower-severity patterns. Patterns shown inside code fences are weighted as examples rather than instructions — read the grading methodology for what this does and does not guarantee.
- ✓ Prompt injection
- ✓ Data exfiltration
- ✓ Supply chain
- ✓ Reverse shell
- ✓ Credentials
- ⚠ Execution
- ✓ Filesystem
- ✓ Persistence
- ✓ Obfuscation
- ✓ Network
Show this grade on your repo (click to copy):
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