A nonlinear version of Krein Rutman Theorem is established. This paper presents a unified proof of the Krein Rutman Theorem for linear operators and for nonlinear operators, and of the Perron-Frobenius theorem for nonnegative matrices and for nonnegative tensors.Mathematics, Interdisciplinary ApplicationsSCI(E)中国科学引文数据库(CSCD)11ARTICLE4542-5542
AbstractIf X is a real n-dimensional space provided with a subnorm π, then the inequality ξ ⩾ π(x) d...
In this thesis we present the formalization of three principal results that are the Jordan normal fo...
AbstractAs a further generalization of the Perron-Frobenius theorem from linear to nonlinear operato...
We present a new dynamical approach to the classical Perron-Frobenius theory by using some elementar...
A unification version of the Perron-Frobenius theorem and the Krein-Rutman theorem for increasing, p...
We generalize the Perron-Frobenius Theorem for nonnegative matrices to the class of nonnegative tens...
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developm...
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frob...
AbstractMany of the important applications of the Perron-Frobenius theory of nonnegative matrices as...
This paper was included in a list of ``10 Notable Papers from the journal Linear Algebra \& Its Appl...
The Perron-Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph ...
The Perron-Frobenius Theorem says that if A is a nonnegative square matrix some power of which is po...
The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We ext...
We study the combinatorial and algebraic properties of Nonnegative Matrices. Our results are divided...
AbstractRecently Bapat applied a topological theorem of Kronecker and generalized a theorem of Sinkh...
AbstractIf X is a real n-dimensional space provided with a subnorm π, then the inequality ξ ⩾ π(x) d...
In this thesis we present the formalization of three principal results that are the Jordan normal fo...
AbstractAs a further generalization of the Perron-Frobenius theorem from linear to nonlinear operato...
We present a new dynamical approach to the classical Perron-Frobenius theory by using some elementar...
A unification version of the Perron-Frobenius theorem and the Krein-Rutman theorem for increasing, p...
We generalize the Perron-Frobenius Theorem for nonnegative matrices to the class of nonnegative tens...
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developm...
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frob...
AbstractMany of the important applications of the Perron-Frobenius theory of nonnegative matrices as...
This paper was included in a list of ``10 Notable Papers from the journal Linear Algebra \& Its Appl...
The Perron-Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph ...
The Perron-Frobenius Theorem says that if A is a nonnegative square matrix some power of which is po...
The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We ext...
We study the combinatorial and algebraic properties of Nonnegative Matrices. Our results are divided...
AbstractRecently Bapat applied a topological theorem of Kronecker and generalized a theorem of Sinkh...
AbstractIf X is a real n-dimensional space provided with a subnorm π, then the inequality ξ ⩾ π(x) d...
In this thesis we present the formalization of three principal results that are the Jordan normal fo...
AbstractAs a further generalization of the Perron-Frobenius theorem from linear to nonlinear operato...