A note on ${\mathcal {K}}$-stochastic operators

Ivo Marek

On an exposed element of a set of doubly stochastic rectangular matrices

Pavel Čihák (1970)

Commentationes Mathematicae Universitatis Carolinae

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On the polynomial eigenvalue problem with positive operators and location of the spectral radius

Ivo Marek (1969)

Aplikace matematiky

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The purpose of this article is to give some estimates for the spectral radius of the polynomial eigenvalue problem, i.e. to derive some estimates for the singularity of the operator-function $F$ , $F (λ) = λ^{m} A_{0} - \sum_{k = 1}^{m} λ^{m - k} A_{k}$ with the maximal absolute value. It is assumed that $A_{1}, ..., A_{m}, A_{0}^{- 1}$ are bounded linear operators mapping a Banach space into itself. Further, it is assumed that the operators $B_{j}$ , where $B_{j} = A_{0}^{- 1} A_{j}, j = 1, 2, ..., m$ , leave a cone invariant.

Displaying similar documents to “A note on $𝒦$ -stochastic operators”

On $𝒦$ -positive elements of the spectral resolution of a $𝒦$ -positive operator

On an exposed element of a set of doubly stochastic rectangular matrices

On the polynomial eigenvalue problem with positive operators and location of the spectral radius

Displaying similar documents to “A note on 𝒦 -stochastic operators”

On 𝒦 -positive elements of the spectral resolution of a 𝒦 -positive operator

On an exposed element of a set of doubly stochastic rectangular matrices

On the polynomial eigenvalue problem with positive operators and location of the spectral radius

Displaying similar documents to “A note on $𝒦$ -stochastic operators”

On $𝒦$ -positive elements of the spectral resolution of a $𝒦$ -positive operator