II.
LibraryProcess overview
Reference · livelib-process:mathematics--numerical-stability-analysis
numerical-stability-analysis overview
Analyze numerical algorithms for stability, convergence, and error propagation. Includes condition number analysis, floating-point error bounds, and stability assessment for various input ranges.
Attributes
displayName
numerical-stability-analysis
description
Analyze numerical algorithms for stability, convergence, and error propagation.
Includes condition number analysis, floating-point error bounds, and stability assessment for various input ranges.
libraryPath
library/specializations/domains/science/mathematics/numerical-stability-analysis.js
specialization
mathematics
references
- - Higham, Accuracy and Stability of Numerical Algorithms - Golub & Van Loan, Matrix Computations - IEEE 754 Floating-Point Standard - Trefethen & Bau, Numerical Linear Algebra
example
const result = await orchestrate('specializations/domains/science/mathematics/numerical-stability-analysis', {
algorithm: 'Gaussian elimination with partial pivoting',
algorithmCode: 'def gaussian_elimination(A, b): ...',
inputDomain: { matrixSize: [2, 1000], conditionRange: [1, 1e6] },
precisionRequirements: { relativeTolerance: 1e-10, absoluteTolerance: 1e-15 }
});
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.