27 citations · 57 across the 15 of their papers we have counts for
16 papers
Induced Norm Analysis of Linear Systems for Nonnegative Input Signals
Yoshio Ebihara, Noboru Sebe, Hayato Waki +4
This paper is concerned with the analysis of the induced norms of continuous-time linear systems where input signals are restricted to be nonnegat…
Induced Norm Analysis of Continuous-Time LTI Systems Using Positive Filters and Copositive Programming
Yoshio Ebihara, Hayato Waki, Noboru Sebe +3
This paper is concerned with the analysis of the induced norm of continuous-time LTI systems where the input signals are restricted to be nonnegative. This induced norm is…
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…
Tractable semidefinite bounds of positive maximal singular values
Victor Magron, Ngoc Hoang Anh Mai, Yoshio Ebihara +1
We focus on computing certified upper bounds for the positive maximal singular value (PMSV) of a given matrix. The PMSV problem boils down to maximizing a quadratic polynomial on t…