optimization
Finding optimal solutions
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- ffsshhttiikk/opencode-agents-skills
- Last source activity
- February 28, 2026 at 22:53
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- English
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SKILL.md
Source instructions · Read-only preview- name
- optimization
- description
- Finding optimal solutions
- license
- MIT
- compatibility
- opencode
- metadata
- {"audience":"mathematicians","category":"mathematics"}
## What I do
- Solve linear and nonlinear programming problems
- Apply gradient descent and Newton methods
- Work with constrained optimization (Lagrange multipliers)
- Analyze convex optimization problems
- Apply dynamic programming
- Use integer and combinatorial optimization
## When to use me
When maximizing/minimizing functions subject to constraints.
## Key Concepts
- **Linear Programming**: Minimize c^Tx subject to Ax ≤ b, x ≥ 0
- **Gradient Descent**: x_{k+1} = x_k - α∇f for unconstrained minimization
- **Lagrange Multipliers**: ∇f = λ∇g for constraint g(x) = 0
- **KKT Conditions**: Necessary conditions for constrained optima
- **Convexity**: f(λx + (1-λ)y) ≤ λf(x) + (1-λ)f(y) ensures global optima
- **Dynamic Programming**: Optimal substructure + memoization
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