Limiting behavior and analyticity of two special types of infeasible weighted central paths in semidefinite programming.
Trnovská, M. (2010)
Acta Mathematica Universitatis Comenianae. New Series
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Limiting behavior and analyticity of two special types of infeasible weighted central paths in semidefinite programming.
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Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues. The nilpotent complex n × n matrices A for which the products PA with all symmetric matrices P have a single spectrum are determined. It is shown that for a n × n complex matrix [...] there exists a permutation matrix P such that the product PA has at least two distinct eigenvalues.
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