Linear and Multilinear Algebra · 1982 · 122 citations · 21 references
Natural SciencesComputer ScienceComplex SystemsDirected Acyclic GraphsEigenvalue ProblemsGraph TheoryLinear AlgebraSpectral AnalysisSpectral TheoryDirected Graph MatricesDirected GraphsEigenvalue Spectral AnalysisEigenvaluesSpectral Graph Theory
We show how several classical results concerning inclusion regions and estimates for the eigenvalues of matrices can be unified and generalized by the use of directed graphs. Applications to nonnegative matricesM-matrices, and the spectra of graphs are given.
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James H. Bramble, Richard S. Varga · Mathematics of Computation · 1963 · 4.2K citations
A Survey of Matrix Theory and Matrix Inequalities
A. S. H., Marvin Marcus, Henryk Minc · Mathematics of Computation · 1965 · 1.5K citations
A survey of numerical analysis
K.L. Cappel · Journal of the Franklin Institute · 1962 · 312 citations
Natural Sciences, Computational Engineering, Mathematics +12
A Recurring Theorem on Determinants
Olga Taussky · American Mathematical Monthly · 1949 · 303 citations
A Recurring Theorem on Determinants
Olga Taussky · American Mathematical Monthly · 1949 · 226 citations