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bgpt-paper-search
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数据与复现
NO
nonlinear-solvers
维护者 FreedomIntelligence · 最近更新 2026年4月1日
nonlinear-solvers：Select 、 configure nonlinear solvers ，用于 f(x)=0 或 min F(x)。 可用于Newton methods，quasi-Newton (BFGS，L-BFGS)，Broyden，Anderson acceleration，diagnosing convergence issues，choosing line search vs trust region，、 analyzing Jacobian quality。
原始来源
FreedomIntelligence/OpenClaw-Medical-Skills
https://github.com/FreedomIntelligence/OpenClaw-Medical-Skills/tree/main/skills/nonlinear-solvers
- 维护者
- FreedomIntelligence
- 许可
- MIT
- 最近更新
- 2026年4月1日
技能摘要
来自 SKILL.md 的关键信息
核心说明
- 提供 universal workflow to select nonlinear solver，configure globalization strategies，、 diagnose convergence ，用于 root-finding，optimization，、 least-squares problems。
- python3 scripts/solver_selector.py --size 50000 --smooth --memory-limited --json。
原始文档
SKILL.md 摘录
Requirements
- Python 3.8+
- NumPy (for Jacobian diagnostics)
- SciPy (optional, for advanced analysis)
Inputs to Gather
| Input | Description | Example |
|---|---|---|
| Problem type | Root-finding, optimization, least-squares | root-finding |
| Problem size | Number of unknowns | n = 10000 |
| Jacobian availability | Analytic, finite-diff, unavailable | analytic |
| Jacobian cost | Cheap or expensive to compute | expensive |
| Constraints | None, bounds, equality, inequality | none |
| Smoothness | Is objective/residual smooth? | yes |
| Residual history | Sequence of residual norms | 1,0.1,0.01,... |
Script Outputs (JSON Fields)
| Script | Key Outputs |
|---|---|
scripts/solver_selector.py | recommended, alternatives, notes |
scripts/convergence_analyzer.py | converged, convergence_type, estimated_rate, diagnosis |
scripts/jacobian_diagnostics.py | condition_number, jacobian_quality, rank_deficient |
scripts/globalization_advisor.py | strategy, line_search_type, trust_region_type, parameters |
scripts/residual_monitor.py | patterns_detected, alerts, recommendations |
scripts/step_quality.py | ratio, step_quality, accept_step, trust_radius_action |
适用场景
- 可用于Newton methods，quasi-Newton (BFGS，L-BFGS)，Broyden，Anderson acceleration，diagnosing convergence issues，choosing line search vs trust region，、 analyzing Jacobian quality。
不适用场景
- Do not rely on this catalog entry alone ，用于 installation 或 maintenance details。
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