Home/ Questions/Q 9169203
In Process

The Archive Base Latest Questions

Editorial Team
  • 0
Asked: 2026-06-17T15:49:00+00:00

Is there an optimized package or method that estimates the Perron-Frobenius eigenvalue of a

  • 0

Is there an optimized package or method that estimates the Perron-Frobenius eigenvalue of a real, square, non-negative matrix? This could be significantly faster (especially for large and/or sparse matrices) than an exact calculation — given that the Perron-Frobenius eigenvalue can be arrived at by iterating the matrix. I am hoping an optimized package exists which does this.

Share

Leave an answer

You must login to add an answer.

Need An Account,

1 Answer

  1. Editorial Team

    If A is a square matrix, possibly in a sparse format, then you can get its largest magnitude (LM) eigenvalue, i.e. its Perron-Frobenius eigenvalue, and the corresponding eigenvector using SciPy’s eigs and eigsh functions:

    from scipy.sparse.linalg import eigs

val, vec = eigs(a, k=1, which='LM')

    SciPy has solvers for sparse eigenvalue problems of various forms that use the ARPACK library. You can read more in SciPy’s ARPACK tutorial.

    • 0