论文信息 - On an inverse problem for nonnegative and eventually nonnegative matrices

On an inverse problem for nonnegative and eventually nonnegative matrices

Let σ= (λ1,···λn)⊂C. We discuss conditions for which σ is the spectrum of a nonnegative or eventually nonnegative matrix. This brings us to study rational functions with nonnegative Maclaurin coefficients. A conjecture for special sets σ is stated and some evidence in support of this conjecture is given.

Shmuel Friedland | S. Friedland

[1] H. Perfect. On positive stochastic matrices with real characteristic roots , 1952, Mathematical Proceedings of the Cambridge Philosophical Society.

[2] O. Perron. Zur Theorie der Matrices , 1907 .

[3] Hazel Perfect,et al. Methods of constructing certain stochastic matrices. II , 1953 .

[4] P. G. Ciarlet,et al. Some results in the theory of nonnegative matrices , 1968 .

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

[6] R. Bruce Kellogg,et al. Matrices similar to a positive or essentially positive matrix , 1971 .