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TropicalEigenvalueComputer

Struct TropicalEigenvalueComputer 

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pub struct TropicalEigenvalueComputer {
    pub matrix: Vec<Vec<f64>>,
}
Expand description

Computes an approximation to the max-plus (tropical) eigenvalue of a square matrix using the Karp algorithm (max-cycle-mean via repeated multiplication).

The matrix is interpreted with max-plus arithmetic: (A ⊗ B)[i][j] = max_k(A[i][k] + B[k][j]).

Returns None if the matrix is empty.

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§matrix: Vec<Vec<f64>>

The n × n matrix (finite entries; use f64::NEG_INFINITY for −∞).

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impl TropicalEigenvalueComputer

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pub fn new(matrix: Vec<Vec<f64>>) -> Self

Creates a new eigenvalue computer for the given square matrix.

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pub fn compute_eigenvalue(&self) -> Option<f64>

Karp’s algorithm: λ* = max_i min_{k=0..n-1} (Aⁿ[j][i] − Aᵏ[j][i]) / (n − k).

Returns the max-plus eigenvalue (spectral radius) of the matrix, or None if the matrix is empty or has no finite entry.

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