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math.CO2020
The Complete Positivity of Symmetric Tridiagonal and Pentadiagonal Matrices
Lei Cao, Darian McLaren, Sarah Plosker
We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix is completely positive. Our decomposition can be applied to a wide range of matrice…
math.CO2020★ 8 cited
Pattern-Avoiding (0,1)-Matrices
Richard A. Brualdi, Lei Cao
We investigate pattern-avoiding (0,1)-matrices as generalizations of pattern-avoiding permutations. Our emphasis is on 123-avoiding and 321-avoiding patterns for which we obtain ex…