{
  "id": "lib-process:mathematics--matrix-computation-optimization",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "matrix-computation-optimization",
    "description": "Optimize matrix computations by selecting appropriate decompositions, exploiting structure\n(sparsity, symmetry), and leveraging high-performance libraries (BLAS, LAPACK).",
    "libraryPath": "library/specializations/domains/science/mathematics/matrix-computation-optimization.js",
    "specialization": "mathematics",
    "references": [
      "- Golub & Van Loan, Matrix Computations\n- BLAS Standard: https://www.netlib.org/blas/\n- LAPACK: https://www.netlib.org/lapack/\n- Intel MKL: https://software.intel.com/mkl\n- SuiteSparse: https://people.engr.tamu.edu/davis/suitesparse.html"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/matrix-computation-optimization', {\n  matrixDescription: 'Sparse symmetric positive definite matrix from FEM discretization',\n  computationGoal: 'Solve linear system Ax = b repeatedly with different b',\n  matrixProperties: { size: '100000x100000', sparsity: 0.001, symmetric: true, positiveDef: true },\n  performanceRequirements: { maxTime: '1s per solve', precision: 'double' }\n});",
    "usesAgents": [
      "numerical-analyst"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--matrix-computation-optimization",
      "to": "lib-agent:mathematics--numerical-analyst",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}