Abstract
We show that given a two-variable, symmetric, ϑ-self-concordant function f, the spectral function F = f ○ λ is 2(1 + 3ϑ)-self-concordant. Correspondingly, if f is ϑ-self-concordant barrier, then 4(1 + 3ϑ)2 F is a 4(1 + 3ϑ)2ϑ-self-concordant barrier.
Acknowledgements
J. Peña is supported by NSF grant CCF-0830533. H. Sendov is supported by NSERC.