Cited by 305Matrix Theory and AlgorithmsMathematical Inequalities and ApplicationsAdvanced Combinatorial Mathematics

Majorization, doubly stochastic matrices, and comparison of eigenvalues

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Ando, T.·1989·Linear Algebra and its Applications

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Integrity signals

Registry

Crossref · 10.1016/0024-3795(89)90580-6

Cites

77 of 77 references verified0 citation errors · 0 not checkable

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  • A function M of Schmidt coefficients is Schur concave if and only if it is invariant under permutations of any two arguments and satisfies Eq. (24).

    “It is satisfied if and only if [48] M given as a function of the Schmidt coefficients is invariant under permutations of any two arguments and satisfies”

    From Measures and dynamics of entangled states (2005) · cites this paper as [48]

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Cites

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Research works printed but not linked: 2

  1. E. Beckenbach and R. Bellman, Inequalities, 2nd ed., Springer, New York, 1965; MR31#5937.
  2. H. Mint, Permanents, Addison-Wesley, New York, 1978; MR8Od#15009.

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Authors
Ando, T.
Venue
Linear Algebra and its Applications
Publisher
Elsevier BV
Published
1989-06
Volume
118
Pages
163-248
ISSN
0024-3795 (ISSN-L)
OpenAlex
W1997314000
Cited by
305
References
77
Citations by year
2026: 7 · 2025: 12 · 2024: 8 · 2023: 9 · 2022: 13 · 2021: 15 · 2020: 22 · 2019: 18 · 2018: 13 · 2017: 12 · 2016: 15 · 2015: 14 · 2014: 18 · 2013: 9 · 2012: 9
FWCI
3.03
Type
journal article
Language
en
Open access
Locations
Linear Algebra and its Applications (publishedVersion)
Topics
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
  • Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Advanced Combinatorial Mathematics
Keywords
majorization, doubly stochastic matrices, eigenvalue comparison

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