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Data for: From Feedback Loops to Spectra: Stability of the Interaction Matrix in Rock Engineering Systems

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Reproduction code and data for the paper of the same name, submitted to Rock Mechanics and Rock Engineering. The Rock Engineering Systems (RES) fully coupled model turns a binary interaction matrix A into a global description G = (I - A)^-1. This deposit contains the three interaction matrices analyzed in that paper, together with the Python code that reproduces every numerical quantity the paper reports. The matrices are transcribed from their published sources: the six-variable dam foundation in two codings and the nine-variable hydroelectric pressure tunnel from Y. Jiao and J.A. Hudson (1995), The fully-coupled model for rock engineering systems, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 32(5):491-512, and the fourteen-variable gas-storage cavern from Y. Jiao (1995), Formalizing the systems approach to rock engineering, PhD thesis, Imperial College. The printed global matrices for the tunnel and the cavern are included so that the resolvent identity can be checked against them directly. No new experimental or field data are included. The quantities recomputed are the spectral radius and the exact stability criterion, the multiplicative and additive Distance-to-Instability margins, the pseudospectral stability radius under the published coding and under matrix balancing, the eigenvalue condition numbers, the closed-form sensitivities checked against centered finite differences, and the two audits of the resolvent against the printed global matrices.

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2026-08-23
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