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math.RA2021
Smaller Gershgorin disks for multiple eigenvalues for complex matrices
Imre Bárány, Jozsef Solymosi
Extending an earlier result for real matrices we show that multiple eigenvalues of a complex matrix lie in a reduced Gershgorin disk. One consequence is a slightly better estimate…
math.CO2021
Erdős-Szekeres theorem for -flats
Imre Bárány, Gil Kalai, Attila Pór
We extend the famous Erdős-Szekeres theorem to -flats in