Generalization of some results concerning eigenvalues of a certain class of matrices and some applications

DOI10.1080/03081087.2012.746330zbMath1277.15010arXiv1203.1769OpenAlexW2115505822MaRDI QIDQ2851012

Bassam Mourad

Publication date: 1 October 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1769

zbMATH Keywords

eigenvaluesnonnegative matricesinverse eigenvalue problempositive matricesdoubly stochastic matricesgraph spectragraph energy

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Related Items (10)

On the positive semi-definite pth roots of positive semi-definite doubly stochastic matrices ⋮ A note on the inverse spectral problem for symmetric doubly stochastic matrices ⋮ On the doubly stochastic realization of spectra ⋮ Some families of integral mixed graphs ⋮ A note on the real inverse spectral problem for doubly stochastic matrices ⋮ Combined matrices of almost strictly sign regular matrices ⋮ On a numerical construction of doubly stochastic matrices with prescribed eigenvalues ⋮ On the symmetric doubly stochastic matrices that are determined by their spectra and their connection with spectral graph theory ⋮ CMMSE algorithms for constructing doubly stochastic matrices with the relative gain array (combined matrix) \( A \circ A^{-T}\) ⋮ On a relationship between Cayley graphs and \(G\)-graphs with some applications

Cites Work

• Unnamed Item
• On a spectral property of doubly stochastic matrices and its application to their inverse eigenvalue problem
• Methods of constructing certain stochastic matrices. II
• The energy of graphs and matrices
• Eigenvalues of nonnegative symmetric matrices
• Extreme nonnegative matrices
• On nonnegative matrices similar to positive matrices
• The inverse eigenvalue problem for symmetric doubly stochastic matrices.
• Divisors and the spectrum of infinite graphs
• A note on the boundary of the set where the decreasingly ordered spectra of symmetric doubly stochastic matrices Lie
• Spectral properties of doubly-stochastic matrices
• An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem
• A generalization of Fiedler's lemma and some applications
• Nonnegative Matrices That Are Similar to Positive Matrices
• On a Lie-theoretic approach to generalized doubly stochastic matrices and applications
• An inverse problem for symmetric doubly stochastic matrices
• Graphs and matrices

This page was built for publication: Generalization of some results concerning eigenvalues of a certain class of matrices and some applications