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math.CO2018
On Sign Pattern Matrices that Allow or Require Algebraic Positivity
Jean Leonardo Abagat, Diane Christine Pelejo
A square matrix with real entries is said to be algebraically positive (AP) if there exists a real polynomial such that all entries of the matrix . A square sign pa…
math.CO2018
Minimum number of non-zero-entries in a stable matrix
Christopher Hambric, Chi-Kwong Li, Diane Christine Pelejo +1
We prove that if a matrix is potentially stable, then it has at least 11 non-zero entries. The results for matrix with up to 6 are known previously. We…