6 citations · 6 across the 5 of their papers we have counts for
5 papers
Exact Convergence Rates of Alternating Projections for Nontransversal Intersections
Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki
We consider the convergence rate of the alternating projection method for the nontransversal intersection of a semialgebraic set and a linear subspace. For such an intersection, th…
On Newton-polytope-type sufficiency conditions for coercivity of polynomials
Tomas Bajbar, Yoshiyuki Sekiguchi
We identify new sufficiency conditions for coercivity of general multivariate polynomials which are expressed in terms of their Newton polytopes at infinity and…
Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems
Yoshiyuki Sekiguchi, Hayato Waki
We consider sensitivity of a semidefinite program under perturbations in the case that the primal problem is strictly feasible and the dual problem is weakly feasible. When the coe…
Notes on optimality conditions using Newton diagrams and sums of squares
Yoshiyuki Sekiguchi
We consider relationships between optimality conditions using Newton diagrams and sums of squares of polynomials and power series.
Real ideal and the duality of semidefinite programming for polynomial optimization
Yoshiyuki Sekiguchi, Tomoyuki Takenawa, Hayato Waki
We study the ideal generated by polynomials vanishing on a semialgebraic set and propose an algorithm to calculate the generators, which is based on some techniques of the cylindri…