Matthew Min-Hsiung Lin

Works (4)

Updated: July 9th, 2023 21:18

2010 article

Inverse mode problems for real and symmetric quadratic models

Lin, M. M., Dong, B., & Chu, M. T. (2010, May 14). Inverse Problems, Vol. 26.

By: M. Lin n, B. Dong * & M. Chu n 

Contributors: M. Lin n, B. Dong * & M. Chu n 

topics (OpenAlex): Structural Health Monitoring Techniques; Control Systems and Identification; Matrix Theory and Algorithms
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Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 article

On the nonnegative rank of Euclidean distance matrices

Lin, M. M., & Chu, M. T. (2010, April 26). Linear Algebra and Its Applications, Vol. 433, pp. 681–689.

By: M. Lin n & M. Chu n 

Contributors: M. Lin n & M. Chu n 

topics (OpenAlex): graph theory and CDMA systems; Matrix Theory and Algorithms; Advanced Optimization Algorithms Research
TL;DR: The Euclidean distance matrix for n distinct points in ℝ r is generically of rank r + 2 and it is shown via a geometric argument that its nonnegative rank for the case r = 1 is generally n. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

2009 article

Parameter reconstruction of vibration systems from partial eigeninformation

Dong, B., Lin, M. M., & Chu, M. T. (2009, August 4). Journal of Sound and Vibration, Vol. 327, pp. 391–401.

By: B. Dong *, M. Lin n & M. Chu n 

Contributors: B. Dong *, M. Lin n & M. Chu n 

topics (OpenAlex): Structural Health Monitoring Techniques; Vibration Control and Rheological Fluids; Probabilistic and Robust Engineering Design
TL;DR: A numerical approach is proposed to determine whether the inverse problem is solvable and, if it is so, computes the coefficient matrices while providing an estimate of the residual error. (via Semantic Scholar)
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Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2009 article

Semi-definite programming techniques for structured quadratic inverse eigenvalue problems

Lin, M. M., Dong, B., & Chu, M. T. (2009, July 15). Numerical Algorithms, Vol. 53, pp. 419–437.

By: M. Lin n, B. Dong * & M. Chu n 

Contributors: M. Lin n, B. Dong * & M. Chu n 

author keywords: Semi-definite programming; Quadratic pencil; Inverse eigenvalue problem; Structural constraint; Model updating
topics (OpenAlex): Advanced Optimization Algorithms Research; Probabilistic and Robust Engineering Design; Topology Optimization in Engineering
TL;DR: Of notable interest and significance are the uniformity and the simplicity in the SDP formulation that solves effectively many otherwise very difficult QIEPs. (via Semantic Scholar)
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

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