3 papers
math.OC2024
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…
math.OC2024
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…
math.OC2024
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…