Construct · 1 fields · 1 citations

Horn's conjecture: a standalone construct

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Horn'sconjecture1 CONSTRUCTHorn's conjectureHORN · LINEAR ALGEBRA

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Linear algebra

a description, by linear inequalities, of which eigenvalue triples occur for Hermitian matrices A, B and A plus B.

In linear algebra, Horn's conjecture refers to a description, by linear inequalities, of which eigenvalue triples occur for Hermitian matrices A, B and A plus B. This meaning comes from Horn (1962) in Pacific Journal of Mathematics.[1]

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References

  1. Horn, A. (1962). Eigenvalues of sums of Hermitian matrices. Pacific Journal of Mathematics, 12(1), 225-241. https://doi.org/10.2140/pjm.1962.12.225

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