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We study polynomial generalizations of the r -Fibonacci and r -Lucas sequences which arise in connection with a certain statistic on linear and circular r -mino ar-
We introduce polynomial generalizations of the r -Fibonacci, r -Gibonacci, and r - Lucas sequences which arise in connection with two statistics defined, respectively, on
The Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices with n ≤ 5. A note on the eigenvalues of
In Section 3 it is shown that the same situation holds for the nonnegative P0-matrix completion problem, that is, a pattern for n × n matrices that includes all diagonal positions
In this paper, we study matrix functions preserving sets of generalized nonnegative matrices such as the set of real n × n eventually nonnegative matrices, the set of real n ×
Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative
Both infinite and sequences of finite Toeplitz matrices are considered, and also studied is the finite section method, which consists in approximating infinite systems by large
In this section we describe a super-field representation of the dispersionless Boussinesq equa- tion; the system at hand admits two infinite sequences of commuting symmetries
