V0.3.0

Skill Sliky1/lagrangian-skills/archive/v0.3.0

Agent Skill for constrained optimization via ALM/ADMM/KKT — with adversarial guards, COOP cross-skill protocol, and 20k-sim validated parameters

Install

npx -y skills add Sliky1/lagrangian-skills --skill v0.3.0

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Augmented Lagrangian for constrained optimization. Handles convex QP, smooth NLP, non-convex NLP, distributed ADMM. Trigger on: constrained optimization, KKT, Lagrange multipliers, ALM, ADMM, multi-start, penalty methods.

The file declares its own license as MIT. That is the author’s claim about this one file, and it is not the same thing as the license GitHub reports for the repository, which is listed with the other numbers below.

SKILL.md

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Lagrangian Core Skill — v0.3.0

能力边界

方法路由

convex_qp/smooth_nlp → standard_solver
non_convex           → ALM(n_starts=5, uniform_random)
distributed          → ADMM

Step 3 — 稀疏JSON通道

{"step":3,"type":"augmented_lagrangian",
 "formula":"L_ρ=f(x)+Σλ·h(x)+Σμ·g(x)+ρ/2·||h||²",
 "multipliers":{"lambda":[0.0],"mu":[0.0]},
 "penalty":{"rho_init":1.0,"update_rule":"×1.5 if ||h||>tol"}}

Step 4 — KKT验证

缓存指纹=(变量数, eq约束数, ineq约束数, 目标函数类型)

Step 7 — 输出

最优解(一行) → 约束状态 → KKT残差

Forbidden Behaviors

❌ Steps 1-6输出自然语言 ❌ 失败后输出散文