Multiplicities of eigenvalues of some linear search schemes
نویسندگان
چکیده
منابع مشابه
Eigenvalues, Multiplicities and Graphs
For a given graph, there is a natural question of the possible lists of multiplicities for the eigenvalues among the spectra of Hermitian matrices with that graph (no constraint is placed upon the diagonal entries of the matrices by the graph). Here, we survey some of what is known about this question and include some new information about it. There is a natural focus upon the case in which the...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولMultiplicities of Eigenvalues and Tree-Width of Graphs
Definition 1. OG is the set of real symmetric V_V matrices with entries ai, j such that ai, j<0 if [i, j] # E and ai, j=0 if i{ j and [i, j] E. An operator A # OG has a non-degenerate first eigenvalue *1 (groundstate) if G is connected (Perron and Frobenius). The invariant +(G) is defined using multiplicities of the second eigenvalue *2 for some real symmetric matrix A # OG . Moreover, +(G) is ...
متن کاملSharp Bounds for Eigenvalues and Multiplicities on Surfaces of Revolution
For surfaces of revolution diffeomorphic to S, it is proved that (S, can) provides sharp upper bounds for the multiplicities of all of the distinct eigenvalues. We also find sharp upper bounds for all the distinct eigenvalues and show that an infinite sequence of these eigenvalues are bounded above by those of (S, can). An example of such bounds for a metric with some negative curvature is pres...
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: Linear Algebra and its Applications
سال: 1999
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(98)10246-x