On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory
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Publication:6161138
DOI10.1016/j.laa.2023.05.016zbMath1517.05108arXiv2207.11563OpenAlexW4377091046MaRDI QIDQ6161138
Publication date: 26 June 2023
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.11563
pseudo-invertible matrixbridged graph generalized Schur complementnegatively pseudo-invertibilitypositively pseudo-invertibility
Theory of matrix inversion and generalized inverses (15A09) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Matrices of integers (15B36) Signed and weighted graphs (05C22)
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Cites Work
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- Graph invertibility and median eigenvalues
- Spectra of graphs
- Extremal values of matching energies of one class of graphs
- Graph invertibility
- On unimodular graphs
- More on generalized inverses of partitioned matrices with Banachiewicz-Schur forms
- Directed intervals and the dual of a graph
- Inverses of trees
- Signed graphs
- Ordering graphs with small index and its application
- Generalized inverses. Theory and applications.
- Moore-Penrose inverses of the signless Laplacian and edge-Laplacian of graphs
- Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement
- On construction of upper and lower bounds for the HOMO-LUMO spectral gap
- Median eigenvalues and the HOMO-LUMO index of graphs
- On a construction of integrally invertible graphs and their spectral properties
- Group inverse of the Laplacian of connections of networks
- Inverses of triangular matrices and bipartite graphs
- HL-index of a graph
- Which Nonnegative Matrices Are Self-Inverse?
- Generalized Inverses of a Bordered Matrix of Operators
- Further results on integral generalized inverses of integral matrices
- On the inverse and the dual index of a tree
- On some interconnections between combinatorial optimization and extremal graph theory
- Median eigenvalues of bipartite subcubic graphs