Schur complements and its applications to symmetric nonnegative and \(Z\)-matrices
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Publication:697067
DOI10.1016/S0024-3795(02)00327-0zbMath1006.15020MaRDI QIDQ697067
Publication date: 12 September 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (5)
Localization of Perron roots ⋮ Smooth over-parameterized solvers for non-smooth structured optimization ⋮ The lower and upper bounds on Perron root of nonnegative irreducible matrices ⋮ A Schur complement approach for computing subcovariance matrices arising in a road safety measure modelling ⋮ A covariance components estimation procedure when modelling a road safety measure in terms of linear constraints
Cites Work
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- A generalization of N-matrices
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- Lower bounds for the first eigenvalue of certain M-matrices associated with graphs
- Some interlacing properties of the Schur complement of a Hermitian matrix
- \(Z\)-matrices and inverse \(Z\)-matrices
- Bounds on eigenvalues and chromatic numbers
- Inverses of Perron complements of inverse \(M\)-matrices
- Some results on a partition of \(Z\)-matrices
- Matrix Analysis
- Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems
- Generalized Inverse Formulas Using the Schur Complement
- An Identity for the Schur Complement of a Matrix
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