2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.OC2025
Faces of homogeneous cones and applications to homogeneous chordality
João Gouveia, Masaru Ito, Bruno F. Lourenço
A convex cone is said to be homogeneous if its group of automorphisms acts transitively on its relative interior. Important examples of homogeneous cones include symm…
math.OC2024
Minimal hyperbolic polynomials and ranks of homogeneous cones
João Gouveia, Masaru Ito, Bruno F. Lourenço
The starting point of this paper is the computation of minimal hyperbolic polynomials of duals of cones arising from chordal sparsity patterns. From that, we investigate the relati…
math.OC2023★ 2 cited
Eigenvalue programming beyond matrices
Masaru Ito, Bruno F. Lourenço
In this paper we analyze and solve eigenvalue programs, which consist of the task of minimizing a function subject to constraints on the "eigenvalues" of the decision variable. Her…