Juyoung Jeong

activity

20162026

collaborators

6 papers

math.OC2026

Generalized convexity of spectral functions on Euclidean Jordan algebras

Juyoung Jeong

This paper investigates transfer principles for generalized convexity of spectral functions on Euclidean Jordan algebras. A spectral function is induced by the eigenvalue map and a…

math.OC2026

Minimal polynomials, scaled Jordan frames, and Schur-type majorization in hyperbolic systems

M. Seetharama Gowda, Juyoung Jeong, Sudheer Shukla

Corresponding to a hyperbolic system $(V, p, e)$ , where $V$ is a real finite-dimensional vector space and $p$ is a hyperbolic polynomial of degree $n$ in the direction $e$ , we cons…

math.OC2024

Geometric commutation principle for weakly spectral sets in Euclidean Jordan algebras

Juyoung Jeong

A geometric commutation principle in Euclidean Jordan algebra, recently proved by Gowda, says that, for any spectral set $E$ in a Euclidean Jordan algebra $V$ and $a \in E$ , $a$ st…

math.OC2024

Commutation principles for nonsmooth variational problems on Euclidean Jordan algebras

Juyoung Jeong, David Sossa

The commutation principle proved by Ramírez, Seeger, and Sossa (SIAM J Optim 23:687-694, 2013) in the setting of Euclidean Jordan algebras says that for a Fréchet differentiable fu…

math.FA2020

Some log and weak majorization inequalities in Euclidean Jordan algebras

Jiyuan Tao, Juyoung Jeong, Muddappa Gowda

Motivated by Horn's log-majorization (singular value) inequality $s (A B) l o g ≺ s (A) * s (B)$ and the related weak-majorization inequality $s(AB)\underset{w}{\prec} s(A)*…

math.RA2016

Commutation principles in Euclidean Jordan algebras and normal decomposition systems

M. Seetharama Gowda, Juyoung Jeong

The commutation principle of Ramirez, Seeger, and Sossa \cite{ramirez-seeger-sossa} proved in the setting of Euclidean Jordan algebras says that when the sum of a Fréchet different…