Catalogue of the Star graph eigenvalue multiplicities
نویسندگان
چکیده
منابع مشابه
Eigenvalue multiplicities of products of companion matrices
It is shown that under suitable conditions an eigenvalue of a product of companion matrices has geometric multiplicity equal to one. The result is used to show that for a class of Random Walks in Periodic Environments recurrence is equivalent to a product of companion matrices having 1 as an eigenvalue of algebraic multiplicity greater than one.
متن کاملEigenvalue asymptotics for a star-graph damped vibrations problem
We consider a boundary value problem generated by Sturm-Liouville equations on the edges of a star-shaped graph. Thereby a continuity condition and a condition depending on the spectral parameter is imposed at the interior vertex, corresponding to the case of damping in the problem of small transversal vibrations of a star graph of smooth inhomogeneous strings. At the pendant vertices Dirichlet...
متن کاملHermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
Given an n-by-n Hermitian matrix A and a real number λ, index i is said to be Parter (resp. neutral, downer) if the multiplicity of λ as an eigenvalue of A(i) is one more (resp. the same, one less) than that in A. In case the multiplicity of λ in A is at least 2 and the graph of A is a tree, there are always Parter vertices. Our purpose here is to advance the classification of vertices and, in ...
متن کاملEla Eigenvalue Multiplicities of Products of Companion Matrices
It is shown that under suitable conditions an eigenvalue of a product of companion matrices has geometric multiplicity equal to one. The result is used to show that for a class of Random Walks in Periodic Environments recurrence is equivalent to a product of companion matrices having 1 as an eigenvalue of algebraic multiplicity greater than one.
متن کاملConstruction of Star Catalogue Based on Svm
The method of constructing navigation star catalogue always based on Magnitude Filtering Method (MFM). But it did not work well because of two typical disadvantages. On one side it would extract so many stars that there was redundancy in the catalogue. And on the other side it would generate “hole” in some area of celestial sphere. In this article, Support Vector Machine (SVM) was introduced in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Arabian Journal of Mathematics
سال: 2019
ISSN: 2193-5343,2193-5351
DOI: 10.1007/s40065-019-00271-z