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linear-algebra

1 MARIA OS blog articles tagged linear-algebra, organized as a Bonginkan topic archive for search engines and LLM retrieval.

1 article|Published by Bonginkan

Agentic Company Architecture

Research on human-agent organizations, delegation boundaries, role topology, and governed autonomy.

Responsibility Gates and AI Governance

Safety, accountability, fail-closed gates, auditability, and human-in-the-loop control for AI agents.

Multi-Agent Mathematics

Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.

MathematicsJanuary 20, 202624 min read

Linear Algebra Model for Negative Correlation Detection Across Business Universes

Using eigendecomposition of correlation matrices to identify conflicting objectives across business universes

When business universes optimize in opposing directions, organizations incur both direct conflict cost and wasted optimization effort. This paper develops a linear-algebra framework for detecting negative correlations using correlation matrices, eigendecomposition, and spectral analysis. Negative eigenvalues in inter-universe correlation structures identify conflict clusters that require governance intervention rather than additional local optimization.

linear-algebracorrelation-matrixeigendecompositionconflict-detectionmulti-universespectral-analysis