Статья

Spectral Properties of Structured Matrices in Transportation Problems

Mutti-Ur RehmanCenter of Research and Innovation , Asia International University , Yangiobod MFY , G'ijduvon Street , House 74 , Bukhara , UzbekistanBehkzod AminovSchool of Engineering , Central Asian University , Tashkent , 100027 , UzbekistanMohammed N. AlshehriDepartment of Mathematics , College of Science and Arts , Najran University , Najran , Saudi ArabiaMustafa M. MohammedUniversity of Jeddah , Applied college at Khulis , Department of Mathematics , Jeddah , Saudi ArabiaArafa O. MustafaUniversity of Jeddah , College of Business at Khulis , Jeddah , Saudi ArabiaNhla A. AbdalrahmanUniversity of Jeddah , College of Business at Khulis , Jeddah , Saudi ArabiaMona MagzoubMathematics Department , Applied college at Alkamil , University of Jeddah , Saudi ArabiaHala S. MahgoubSakeena E. M. HamedUniversity of Jeddah , College of Business at Khulis , Jeddah , Saudi ArabiaRunda A. A. BashirUniversity of Jeddah , Applied college at Khulis , Department of Mathematics , Jeddah , Saudi ArabiaAwad A. BakeryUniversity of Jeddah

2025en

ABI

Аннотация

The Hitchcock-Koopmans transportation problem is a well-known and fundamental optimization problem which focuses on minimization of the objective function which is basically the transportation cost from multiple sources to multiple destinations. In this article, we present some novel results on the spectral properties of structured matrices appearing in Hitchcock-Koopmanstransportation problems. The results on the computation of singular values are presented with usage of tools from linear algebra and matrix analysis. The new results are derived on interconnection between structured singular values of pseudo-inverse and D-stable matrices of Hitchcock-Koopmans transportation models. The numerical experimentation shows the behavior of singular values. The Matlab EigTool is used for the computation of pseudo-spectrum of pseudo-inverse matrix corresponding to the transportation model.

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Идентификаторы

DOI: 10.29020/nybg.ejpam.v18i1.5637

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