论文信息 - Constructing symmetric nonnegative matrices

Constructing symmetric nonnegative matrices

We construct a symmetric matrix N having specified eigenvalues λ1 ⩾ λ2 ⩾ ⋯ ⩾ λ n , and give conditions on the {λ1) that N be nonnegative. The construction depends on the eigenvector x belonging to the maximal eigenvalue λ1.

George W. Soules

[1] I. Schur,et al. Über endliche Gruppen und Hermitesche Formen , 1918 .

[2] Elliott H. Lieb,et al. Proofs of some Conjectures on Permanents , 1966 .

[3] M. Fiedler. Eigenvalues of Nonnegative Symmetric Matrices , 1974 .

[4] Hazel Perfect,et al. Spectral properties of doubly-stochastic matrices , 1965 .

[5] T. Pate. Inequalities relating groups of diagonal products in a gram matrix , 1982 .