Inertia indices and eigenvalue inequalities for Hermitian matrices
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Publication:5078236
DOI10.1080/03081087.2020.1765957zbMath1497.15023arXiv1910.01966OpenAlexW3102517107MaRDI QIDQ5078236
Lily Li Liu, Xi Chen, Yi Wang, Sai-Nan Zheng
Publication date: 23 May 2022
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01966
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Perturbation theory of linear operators (47A55)
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Cites Work
- Unnamed Item
- Polynomials with real zeros and compatible sequences
- Hermitian-adjacency matrices and Hermitian energies of mixed graphs
- The roots of the independence polynomial of a clawfree graph
- Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
- Polynomials with real zeros and Pólya frequency sequences
- The converse of Weyl's eigenvalue inequality
- Hermitian normalized Laplacian matrix for directed networks
- A new kind of Hermitian matrices for digraphs
- Interlacing families. I: Bipartite Ramanujan graphs of all degrees
- Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
- A short proof of interlacing inequalities on normalized Laplacians
- A unified approach to polynomial sequences with only real zeros
- On the spectrum of the normalized Laplacian for signed graphs: interlacing, contraction, and replication
- Large regular bipartite graphs with median eigenvalue 1
- Imbedding Conditions for Hermitian and Normal Matrices
- Interlacing for weighted graphs using the normalized Laplacian
- Eigenvalues of the Laplacian of a graph∗
- Interlacing Families IV: Bipartite Ramanujan Graphs of All Sizes
- An Interlacing Result on Normalized Laplacians
- A survey of graph laplacians
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