A Generalization of Permanents and Determinants

@article{VereJones1988AGO,
  title={A Generalization of Permanents and Determinants},
  author={D. Vere-Jones},
  journal={Linear Algebra and its Applications},
  year={1988},
  volume={111},
  pages={119-124}
}
  • D. Vere-Jones
  • Published 1988
  • Mathematics
  • Linear Algebra and its Applications
A method is developed for expanding arbitrary powers of the characteristic polynomial of a matrix. The coefficients are expressed in terms of matrix functions generalizing those of the permanent and determinant. The expansions have applications in probability theory. 
Invariant theory for singular alpha-determinants
REMARKS ON THE POSITIVITY OF α-DETERMINANTS
Markov paths, loops and fields
Some algebraic identities for the α-permanent
Necessary and Sufficient Conditions for the Existence of α-Determinantal Processes
Some algebraic identities for the alpha-permanent
The permanental process
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References