Theory of permanents 1982–1985

DOI10.1080/03081088708817786zbMath0621.15006OpenAlexW1974270301MaRDI QIDQ3758044

Henryk Minc

Publication date: 1987

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088708817786

zbMATH Keywords

inequalitiesidentitiesbibliographypermanentspermanental polynomialsurvey articledoubly stochastic matricespermanental dominance conjecturevan der Waerden conjecture(1,-1)-matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Miscellaneous inequalities involving matrices (15A45) Stochastic matrices (15B51) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items

Minimum permanents of doubly stochastic matrices with prescribed zero entries on the main diagonal ⋮ Symmetric function means and permanents ⋮ Kräuter conjecture on permanents is true ⋮ Minimization of the permanent and matrices of freedom^∗ ⋮ An update on a few permanent conjectures ⋮ On some permanental conjectures ⋮ The Hafnian master theorem ⋮ On the maximum of the permanent of \((I - A)\) ⋮ Minimum permanents on certain faces of matrices containing an identity submatrix ⋮ Identities and recurrence relations for order statistics corresponding to ncnidentically distributed variable ⋮ Permanents of matrices of signed ones ⋮ Unnamed Item ⋮ On two permanental conjectures ⋮ Certain nonbarycentric cohesive matrices ⋮ On the convex combinations of matrices and the sum of subpermanents ⋮ On the permanent of doubly stochastic matrices with zero diagonal ⋮ A note on the convexity of the sum of subpermanents ⋮ On a conjecture of h. minc^∗ ⋮ Comparison of permanental bounds of \((0,1)\)-matrices ⋮ Generalization of a Hadamard type inequality for permanents ⋮ Monotonicity of permanents of direct sums of doubly stochastic matrices ⋮ Permanents in probability and statistics ⋮ Minimum permanents of doubly stochastic matrices with zero main diagonal ⋮ Some nontrivial permanental mates ⋮ Minimum permanents on certain doubly stochastic matrices. II ⋮ Maximization of a matrix function related to the Dittert conjecture ⋮ On the permanents of circulant and degenerate Schur matrices ⋮ Notes on permanental and subpermanental inequalities ⋮ A note on a permanental conjecture of M. Marcus and H. Mine ⋮ An update on Minc's survey of open problems involving permanents ⋮ On the monotonicity of the sum of subpermanents of doubly stochastic matrices ⋮ Permanents of doubly substochastic matrices ⋮ Some results towards the Dittert conjecture on permanents ⋮ Computing the moments of order statistics from nonidentically distributed Weibull variables ⋮ Matrix permanent and quantum entanglement of permutation invariant states ⋮ Permanents, matchings and Latin rectangles

Cites Work

• Comparison theorems for supremum norms
• Best possible ratios of certain matrix norms
• Mixed multiplicativity and \(\ell _ p\) norms for matrices
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