II.
LibraryProcess overview
Reference · livelib-process:mathematics--algorithm-complexity-analysis
algorithm-complexity-analysis overview
Perform rigorous time and space complexity analysis of mathematical algorithms. Includes asymptotic analysis, average-case analysis, and comparison with alternative approaches.
Attributes
displayName
algorithm-complexity-analysis
description
Perform rigorous time and space complexity analysis of mathematical algorithms.
Includes asymptotic analysis, average-case analysis, and comparison with alternative approaches.
libraryPath
library/specializations/domains/science/mathematics/algorithm-complexity-analysis.js
specialization
mathematics
references
- - Cormen et al., Introduction to Algorithms - Knuth, The Art of Computer Programming - Sedgewick & Flajolet, An Introduction to the Analysis of Algorithms
example
const result = await orchestrate('specializations/domains/science/mathematics/algorithm-complexity-analysis', {
algorithm: 'Matrix multiplication using Strassen algorithm',
algorithmCode: 'def strassen(A, B): ...',
inputCharacteristics: { matrixType: 'dense', size: 'n x n' },
analysisDepth: 'comprehensive'
});
usesAgents
- numerical-analyst
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--numerical-analyst·LibraryAgentnumerical-analyst
Incoming edges
None.