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Computing an eigenvector of an inverse Monge matrix in max-plus algebra
Authors:Aleksey A. Imaev  Robert P. Judd
Affiliation:
  • Ohio University, Athens, OH 45701, United States
  • Abstract:
    The problem of computing an eigenvector of an inverse Monge matrix in max-plus algebra is addressed. For a general matrix, the problem can be solved in at most O(n3) time. This note presents an O(n2) algorithm for computing one max-plus algebraic eigenvector of an inverse Monge matrix View the MathML source. It is assumed that View the MathML source is irreducible.
    Keywords:Inverse Monge matrix   Concave Monge   Max-plus algebra   Spectral problem   Eigenvector   Algorithm
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