Construction of band matrices from spectral data
نویسندگان
چکیده
منابع مشابه
Reconstruction of tridiagonal matrices from spectral data
Jacobi matrices are parametrized by their eigenvalues and norming constants (first coordinates of normalized eigenvectors): this coordinate system breaks down at reducible tridiagonal matrices. The set of real symmetric tridiagonal matrices with prescribed simple spectrum is a compact manifold, admitting an open covering by open dense sets Uπ Λ centered at diagonal matrices Λπ , where π spans t...
متن کاملSpectral Properties of Random Unitary Band Matrices
i It is a pleasure to thank Professor Stoiciu for his patience and selflessness in being my thesis advisor. Second, I would like to thank Professor Silva for being my second reader and for his helpful suggestions. Finally, I would like to thank my parents, without whom I could never have completed this thesis. One of the most important results in analysis is the Spectral Theorem, which shows th...
متن کاملThe spectral edge of some random band matrices
We study the asymptotic distribution of the eigenvalues of random Hermitian periodic band matrices, focusing on the spectral edges. The eigenvalues close to the edges converge in distribution to the Airy point process if (and only if) the band is sufficiently wide (W ≫ N5/6). Otherwise, a different limiting distribution appears.
متن کاملCan spectral value sets of Toeplitz band matrices jump?
The spectral value set sp ε A of a bounded linear operator A on l2 is the union of the spectra of all operators of the form A+ BKC, where ‖K‖ < ε and B,C are fixed bounded linear operators. It turns out that small changes of ε may cause drastic changes of the set sp ε A. We conjecture that this can never happen if B or C is compact and A is given by an infinite Toeplitz band matrix. In the pres...
متن کاملSpectral Measure of Heavy Tailed Band and Covariance Random Matrices
We study the asymptotic behavior of the appropriately scaled and possibly perturbed spectral measure μ̂ of large random real symmetric matrices with heavy tailed entries. Specifically, consider the N ×N symmetric matrix YσN whose (i, j) entry is σ( i N , j N )xij where (xij , 1 ≤ i ≤ j < ∞) is an infinite array of i.i.d real variables with common distribution in the domain of attraction of an α-...
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: 1981
ISSN: 0024-3795
DOI: 10.1016/0024-3795(81)90141-5