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The maximum tensor complementarity eigenvalues

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ABSTRACT This paper proposes an algorithm for computing the maximum (or minimum) complementarity eigenvalues of tensors. We formulate this as proper polynomial optimization problems that can be efficiently solved by… Click to show full abstract

ABSTRACT This paper proposes an algorithm for computing the maximum (or minimum) complementarity eigenvalues of tensors. We formulate this as proper polynomial optimization problems that can be efficiently solved by Lasserre type semidefinite relaxations. The algorithm is proved to have finite convergence for generic tensors.

Keywords: complementarity; complementarity eigenvalues; maximum tensor; tensor complementarity

Journal Title: Optimization Methods and Software
Year Published: 2020

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