Singular Values of a Matrix

Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

Alfred Horn · American Journal of Mathematics · 1954 · 510 citations

Engineering, Mathematics, Probability Theory +8

Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

Ky Fan · Proceedings of the National Academy of Sciences · 1951 · 472 citations · Full text

Engineering, Mining Engineering, Supply Chain Management +9

Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation

Hermann Weyl · Proceedings of the National Academy of Sciences · 1949 · 405 citations · Full text

Natural Sciences, Higher Education, Vibration +8

Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformations

A. R. Amir‐Moéz · Duke Mathematical Journal · 1956 · 153 citations

Natural Sciences, Mechanical Engineering, Dynamical Systems +11

On the Singular Values of a Product of Completely Continuous Operators

Alfred Horn · Proceedings of the National Academy of Sciences · 1950 · 105 citations · Full text

Life Sciences, Biochemistry, Molecular Biology +13