On the asymptotic distribution of block-modified random matrices
نویسندگان
چکیده
منابع مشابه
Asymptotic Distribution of Eigenvalues and Degeneration of Sparse Random Matrices
This work is concerned with an asymptotical distribution of eigenvalues of sparse random matrices. It is shown that the semicircle law which is known for random matrices is also valid for the sparse random matrices with sparsity nIN=o(1), where n is the matrix size and 2N the number of non-zero elements of the matrix. The degree of degeneration is also estimated for the matrices with 2N—cn (c>0...
متن کاملa study on construction of iranian life tables: the case study of modified brass logit system
چکیده ندارد.
15 صفحه اولOn the asymptotic distribution of the singular values of powers of random matrices
We consider powers of random matrices with independent entries. Let Xij , i, j ≥ 1, be independent complex random variables with EXij = 0 and E |Xij |2 = 1 and let X denote an n×n matrix with [X]ij = Xij , for 1 ≤ i, j ≤ n. Denote by s 1 ≥ . . . ≥ s (m) n the singular values of the random matrix W := n m 2 X and define the empirical distribution of the squared singular values by F (m) n (x) = 1...
متن کاملOn the asymptotic distribution of singular values of products of large rectangular random matrices
We consider products of independent large random rectangular matrices with independent entries. The limit distribution of the expected empirical distribution of singular values of such products is computed. The distribution function is described by its Stieltjes transform, which satisfies some algebraic equation. In the particular case of square matrices we get a well-known distribution which m...
متن کاملAsymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
It is well known that the generating function f ∈ L([−π, π],R) of a class of Hermitian Toeplitz matrices An(f) describes very precisely the spectrum of each matrix of the class [U. Grenader and G. Szegö, Toeplitz Forms and Their Applications, 2nd ed., Chelsea, New York, 1984; E. E. Tyrtyshnikov, Linear Algebra Appl., 232 (1996), pp. 1–43]. In this paper we consider n×n block Toeplitz matrices w...
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: Journal of Mathematical Physics
سال: 2016
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4936925