2 citations · 2 across the 3 of their papers we have counts for
4 papers
Matrix Completion Discriminants
Yoshiyuki Sekiguchi, Shin-ichi Tanigawa
We introduce the matrix completion discriminant of a graph as the Zariski closure of the set of partial symmetric matrices whose completion fibers fail to meet a rank stratum trans…
Convergence rate of alternating projection method for the intersection of an affine subspace and the second-order cone
Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki
We study the convergence rate of the alternating projection method (APM) applied to the intersection of an affine subspace and the second-order cone. We show that when they interse…
Expansions of the Characteristic Polynomial of a Perturbed Positive Semidefinite Matrix and Convergence Analysis of Alternating Projections
Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki
We observe that the characteristic polynomial of a linearly perturbed semidefinite matrix can be used to give the convergence rate of alternating projections for the positive semid…
Analytic Formulas for Alternating Projection Sequences for the Positive Semidefinite Cone and an Application to Convergence Analysis
Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki
We derive analytic formulas for the alternating projection method applied to the cone of positive semidefinite matrices and an affine subspace. More precisely, we…