Permanental bounds for nonnegative matrices via decomposition
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Publication:1765888
DOI10.1016/j.laa.2004.06.022zbMath1066.15005OpenAlexW1985547182MaRDI QIDQ1765888
Publication date: 23 February 2005
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.022
Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)
Related Items
Permanental bounds for the signless Laplacian matrix of a unicyclic graph with diameter \(d\) ⋮ Permanents of multidimensional matrices: Properties and applications ⋮ New permanental bounds for Ferrers matrices ⋮ Computing the permanent of the Laplacian matrices of nonbipartite graphs ⋮ Permanental bounds of the Laplacian matrix of trees with given domination number ⋮ A relationship between subpermanents and the arithmetic-geometric mean inequality ⋮ An update on Minc's survey of open problems involving permanents ⋮ Permanental bounds for the signless Laplacian matrix of bipartite graphs and unicyclic graphs
Cites Work
- Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
- The solution of van der Waerden's problem for permanents
- A short proof of Minc's conjecture
- New permanental upper bounds for nonnegative matrices
- Extending the minc-brègman upper bound for the permanent
- Permanents
- Bounds for permanents of non-negative matrices
- Rearrangements
- Upper bounds for permanents of $\left( {0,\,1} \right)$-matrices
- Matrix factorizations of determinants and permanents
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