AbstractA square matrix A is said to be oscillatory if it has nonnegative minors and some power Ak of A is strictly totally positive (i.e., Ak has strictly positive minors). We study the Schur and singular value decompositions of oscillatory matrices. Some applications are provided
AbstractA real matrix A, of size m×n, is called totally nonnegative (totally positive) if all its mi...
AbstractAn n×m real matrix A is said to be totally positive (strictly totally positive) if every min...
AbstractA generalization of the definition of an oscillatory matrix based on the theory of cones is ...
AbstractA square matrix A is said to be oscillatory if it has nonnegative minors and some power Ak o...
AbstractThis paper continues the research of the authors on totally nonnegative and oscillatory matr...
AbstractA matrix A is called an oscillatory matrix if it is totally nonnegative and there exists a p...
AbstractAn n × n real matrix A is an STP (strictly totally positive) matrix if all its minors are st...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
AbstractIn this note we give an answer to an open question posed by Marshall and Olkin on the majori...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
AbstractWe establish necessary and sufficient conditions, in the language of bidiagonal decompositio...
AbstractA necessary and sufficient condition for an n-tuple of real numbers (λ1, λ2, …, λn) to be th...
AbstractIn this note we revisit a classical criterion obtained by Gantmacher and Krein for determini...
AbstractA real matrix A, of size m×n, is called totally nonnegative (totally positive) if all its mi...
AbstractAn n×m real matrix A is said to be totally positive (strictly totally positive) if every min...
AbstractA generalization of the definition of an oscillatory matrix based on the theory of cones is ...
AbstractA square matrix A is said to be oscillatory if it has nonnegative minors and some power Ak o...
AbstractThis paper continues the research of the authors on totally nonnegative and oscillatory matr...
AbstractA matrix A is called an oscillatory matrix if it is totally nonnegative and there exists a p...
AbstractAn n × n real matrix A is an STP (strictly totally positive) matrix if all its minors are st...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
AbstractIn this note we give an answer to an open question posed by Marshall and Olkin on the majori...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
In this paper, rectangular matrices whose minors of a given order have the same strict sign are cons...
AbstractWe establish necessary and sufficient conditions, in the language of bidiagonal decompositio...
AbstractA necessary and sufficient condition for an n-tuple of real numbers (λ1, λ2, …, λn) to be th...
AbstractIn this note we revisit a classical criterion obtained by Gantmacher and Krein for determini...
AbstractA real matrix A, of size m×n, is called totally nonnegative (totally positive) if all its mi...
AbstractAn n×m real matrix A is said to be totally positive (strictly totally positive) if every min...
AbstractA generalization of the definition of an oscillatory matrix based on the theory of cones is ...