8 papers
Approximation of the Nearest Classical-Classical State to a Quantum State
BingZe-Lu, Matthew M. Lin, YuChen-Shu
The capacity of quantum computation exceeds that of classical computers. A revolutionary step in computation is driven by quantumness or quantum correlations, which are permanent i…
Nurse Scheduling Problem via PyQUBO
Matthew M. Lin, Yu-Chen Shu, Bing-Ze Lu +1
The nurse scheduling problem is a critical optimization challenge in healthcare management. It aims to balance staffing demands, nurse satisfaction, and patient care quality. Corre…
On the semigroup property for some structured iterations
Matthew M. Lin, Chun-Yueh Chiang
Nonlinear matrix equations play a crucial role in science and engineering problems. However, solutions of nonlinear matrix equations cannot, in general, be given analytically. One…
Riemannian Inexact Newton Method for Structured Inverse Eigenvalue and Singular Value Problems
Chun-Yueh Chiang, Matthew M. Lin, Xiao-Qing Jin
Inverse eigenvalue and singular value problems have been widely discussed for decades. The well-known result is the Weyl-Horn condition, which presents the relations between the ei…
An accelerated technique for solving one type of discrete-time algebraic Riccati equations
Matthew M. Lin, Chun-Yueh Chiang
Algebraic Riccati equations are encountered in many applications of control and engineering problems, e.g., LQG problems and control theory. In this work, we study the p…
-algorithm and its application for solving matrix square roots
Matthew M. Lin, Chun-Yueh Chiang
This work is to propose an iterative method of choice to compute a stable subspace of a regular matrix pencil. This approach is to define a sequence of matrix pencils via particula…