32 citations · 32 across the 13 of their papers we have counts for
15 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…
Preconditioned iterative methods for space-time fractional advection-diffusion equations
Zhi Zhao, Xiao-Qing Jin, Matthew M. Lin
In this paper we want to propose practical numerical methods to solve a class of initial-boundary problem of space-time fractional advection-diffusion equations. To start with, an…
Integer Low Rank Approximation of Integer matrices
Bo Dong, Matthew M. Lin, Haesun Park
Integer data sets frequently appear in many applications in sciences and technology. To analyze these, integer low rank approximation has received much attention due to its capacit…
Method of Successive Projections for Nonnegative Inverse Singular Value problems with Prescribed Structure
Sheng-Jhih Wu, Matthew M. Lin
The study of solving inverse singular value problems for nonnegative matrices has been around for decades. It is clear that an inverse singular problem is trivial if the desirable…
A note on Sylvester-type equations
Matthew M. Lin, Chun-Yueh Chiang
This work is to provide a comprehensive treatment of the relationship between the theory of the generalized (palindromic) eigenvalue problem and the theory of the Sylvester-type eq…
A fast numerical algorithm for constructing nonnegative matrices with prescribed real eigenvalues
Matthew M. Lin
The study of solving the inverse eigenvalue problem for nonnegative matrices has been around for decades. It is clear that an inverse eigenvalue problem is trivial if the desirable…
The Shifting Technique for Computing the Extreme Solutions of
Chun-Yueh Chiang, Matthew M. Lin
We propose a new way for speeding up the search of the maximal solution of . It is known that the speed of convergence of traditional approaches for…
On the -Stein equation
Matthew M. Lin, Chun-Yueh Chiang
We consider the -Stein equation , where the operator denotes the transpose () of a matrix. In the first part of this paper, we analyze…
The Eigenvalue Shift Technique and Its Eigenstructure Analysis of a Matrix
Chun-Yueh Chiang, Matthew M. Lin
The eigenvalue shift technique is the most well-known and fundamental tool for matrix computations. Applications include the search of eigeninformation, the acceleration of numeric…
The Shifting Technique for Solving a Nonsymmetric Algebraic Riccati Equation
Chun-Yueh Chiang, Matthew M. Lin
This paper analyzes a special instance of nonsymmetric algebraic matrix Riccati equations arising from transport theory. Traditional approaches for finding the minimal nonnegative…