2 papers
math.OC2025
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.OC2025
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…