II.
LibraryProcess overview
Reference · livelib-process:mathematics--convex-analysis-verification
convex-analysis-verification overview
Verify convexity properties of optimization problems to enable efficient solution methods. Includes checking convexity of objective and constraints, and identifying hidden convex structure.
Attributes
displayName
convex-analysis-verification
description
Verify convexity properties of optimization problems to enable efficient solution methods.
Includes checking convexity of objective and constraints, and identifying hidden convex structure.
libraryPath
library/specializations/domains/science/mathematics/convex-analysis-verification.js
specialization
mathematics
references
- - Boyd & Vandenberghe, Convex Optimization - Rockafellar, Convex Analysis - Nesterov, Introductory Lectures on Convex Optimization - Grant & Boyd, CVX: Matlab Software for Disciplined Convex Programming
example
const result = await orchestrate('specializations/domains/science/mathematics/convex-analysis-verification', {
problemFormulation: { objective: 'minimize x^2 + y^2', constraints: ['x + y >= 1', 'x >= 0', 'y >= 0'] },
objectiveFunction: 'x^2 + y^2',
constraints: ['x + y >= 1', 'x >= 0', 'y >= 0']
});
usesAgents
- optimization-expert
Outgoing edges
lib_applies_to_domain1
- domain:mathematics·DomainMathematics
lib_belongs_to_specialization2
- specialization:computational-mathematics·SpecializationComputational Mathematics
- specialization:mathematics·SpecializationMathematics
lib_implements_workflow1
- workflow:experiment-design·WorkflowExperiment Design
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent1
- lib-agent:mathematics--optimization-expert·LibraryAgentoptimization-expert
Incoming edges
None.