Ngoc PHA. A Perron-Frobenius theorem for a class of positive quasi- polynomial matrices. Appl Math Lett 2006;19:747-51.P.H.A. Ngoc, A Perron-Frobenius theorem for a class of positive quasi-polynomial matrices, Appl. Math. Lett. 19 (2006) 747-751....
We prove a Frobenius-type theorem for singular distributions generated by a family of locally Lipschitz continuous vector fields satisfying almost everywhere a quantitative finite type condition. Keywords Frobenius theorem; Singular distribution; Orbits of vector fields Corresponding author. Copyright ©...
摘要: The Perron–Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph and the ergodic theorem of the theory of Markov chains. Bibliography: 7 titles.DOI: 10.1007/s10958-009-9347-9 被引量: 4 年份: 2009 ...
Goldman determinants and a theorem of FrobeniusA left module M over a ring R is cofaithful in case there is an embedding of R into a finite product of copies of M. Our main result states that a semiprime ring R is left Goldie, that is, has a semisimple Artinian left quotient ring,...
The Perron-Frobenius Theorem in the case of Stieltjes matrices is extended to certain nonlinear perturbations of Stieltjes matrices. It is shown that any n... YS Choi,I Koltracht,PJ Mckenna - A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices 被引...
This gives us Frobenius splitting for the degenerate flag varieties and allows to prove the Borel-Weil type theorem for . Using the Atiyah-Bott-Lefschetz formula for , we compute the -characters of the highest weight -modules. 展开 关键词: FORMULA ...
However, the additional requirement for all entries in the eigenvector to be non-negative implies (by the Perron-Frobenius theorem) that only the eigenvector associated with the greatest eigenvalue is the desired centrality measure. Then, the \(v^{th}\) component of the related eigenvector ...
1. It is a well known theorem due to Frobenius that the number of solutions of the equationXn = 1in a finite group G, is a multiple of the greatest common divisor (n, g) of n and the order g of G. Frobenius himself proved late... SK Sehgal - 《Proceedings of the Glasgow Mathem...
读书报告 | 谱图理论 Ch2: Eigenvalues and Optimization: The Courant-Fischer Theorem 读书报告 | 谱图理论 Ch3: The Laplacian and Graph Drawing 读书报告 | 谱图理论 Ch4: Adjacency matrices, Eigenvalue Interlacing, and the Perron-Frobenius Theorem 读书报告 | 谱图理论 Ch5: Comparing Graphs 读书报告 ...
Treating discretizations as neural networks is achieved by constructing a discretization from the basic building blocks of NNs, i.e., linear transformations and non-linear activation functions. Thereby, techniques within deep learning frameworks—such as automatic differentiation, gradient-based optimization...