Inverse eigenvalue problems for two special acyclic matrices

DOI10.3390/math4010012zbMath1382.65109OpenAlexW2289323481MaRDI QIDQ272125

Debashish Sharma, Mausumi Sen

Publication date: 20 April 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4010012

zbMATH Keywords

inverse eigenvalue problemgraph of a matrixleading principal minors

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Numerical solutions to inverse eigenvalue problems (65F18) Special matrices (15B99)

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Cites Work

• Acyclic matrices with a small number of distinct eigenvalues
• Construction of matrices with a given graph and prescribed interlaced spectral data
• Generalized inverse eigenvalue problem with mixed eigendata
• Inverse eigenvalue problems associated with spring-mass systems
• Construction of acyclic matrices from spectral data
• Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings
• Generalized inverse eigenvalue problem for matrices whose graph is a path
• Two inverse eigenvalue problems for a special kind of matrices
• m -functions and inverse generalized eigenvalue problem
• On Some Eigenvector-Eigenvalue Relations
• Inverse Eigenvalue Problems
• The Parter--Wiener Theorem: Refinement and Generalization
• On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree
• Spectral graph theory and the inverse eigenvalue problem of a graph
• Location and multiplicities of eigenvalues for a star graph of Stieltjes strings
• Unnamed Item

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