On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings
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Publication:947663
DOI10.1016/j.laa.2008.05.033zbMath1153.65033OpenAlexW2000327419MaRDI QIDQ947663
Publication date: 6 October 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.033
linear systemsnumerical examplesspectral radiusiterative methodsPerron-Frobenius theorynonnegative splittingsGauss-Seidel iterative methodsStein-Rosenberg theorem
Inequalities involving eigenvalues and eigenvectors (15A42) Iterative numerical methods for linear systems (65F10)
Related Items (6)
k–step Fibonacci sequences and Fibonacci matrices ⋮ Global algorithms for maximal eigenpair ⋮ Reuben Louis Rosenberg (1909--1986) and the Stein-Rosenberg theorem ⋮ On the Perron-Frobenius theory for complex matrices ⋮ \(k\)-step sum and \(m\)-step gap Fibonacci sequence ⋮ Two characterizations of matrices with the Perron-Frobenius property
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- Convergent nonnegative matrices and iterative methods for consistent linear systems
- Some comparison theorems for weak nonnegative splittings of bounded operators
- Nonnegative splitting theory
- Comparisons of spectral radii and the theorem of Stein-Rosenberg
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