22 citations · 46 across the 18 of their papers we have counts for
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math.OC2019
A Limiting Analysis on Regularization of Singular SDP and its Implication to Infeasible Interior-point Algorithms
Takashi Tsuchiya, Bruno F. Lourenco, Masakazu Muramatsu +1
We consider primal-dual pairs of semidefinite programs and assume that they are ill-posed, i.e., both primal and dual are either weakly feasible or weakly infeasible. Under such ci…
math.OC2019★ 13 cited
A stabilized sequential quadratic semidefinite programming method for degenerate nonlinear semidefinite programs
Yuya Yamakawa, Takayuki Okuno
In this paper, we propose a new sequential quadratic semidefinite programming (SQSDP) method for solving degenerate nonlinear semidefinite programs (NSDPs), in which we produce ite…
math.OC2019★ 2 cited
Extension of the LP-Newton method to SOCPs via semi-infinite representation
Takayuki Okuno, Mirai Tanaka
The LP-Newton method solves the linear programming problem (LP) by repeatedly projecting a current point onto a certain relevant polytope. In this paper, we extend the algorithmic…