most citedRiemannian Interior Point Methods for Constrained Optimization on Manifolds

9 citations · 9 across the 1 of their papers we have counts for

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2 papers

math.OC2022★ 9 cited

Riemannian Interior Point Methods for Constrained Optimization on Manifolds

Zhijian Lai, Akiko Yoshise

We extend the classical primal-dual interior point method from the Euclidean setting to the Riemannian one. Our method, named the Riemannian interior point method, is for solving R…

math.OC2021

Completely Positive Factorization by a Riemannian Smoothing Method

Zhijian Lai, Akiko Yoshise

Copositive optimization is a special case of convex conic programming, and it consists of optimizing a linear function over the cone of all completely positive matrices under linea…