Zhang.On the eigenvalues of quaternion matrices. Linear&Multilinear Algebra . 2011F. O. Farid,Q. W. Wang,F. Z. Zhang.On the eigenvalues of quaternion matrices.Linear&Multilinear Algebra. 2011F. O. Farid, Q. W. Wang, F. Zhang, On the Eigenvalues of Quaternion Matrices , Linear and ...
- 《Journal of Applied Mathematics & Computing》 被引量: 16发表: 2010年 Universality of random matrices and local relaxation flow Consider the Dyson Brownian motion with parameter β, where β=1,2,4 corresponds to the eigenvalue flows for the eigenvalues of symmetric, hermitian and qu... L ...
【24hr】The minimal eigenvalues of a class of block-tridiagonal matrices 包量 机译 一类块三对角矩阵的最小特征值 作者:Linzhang Lu;Sun W.; 刊名:IEEE Transactions on Information Theory 1997年第2期 摘要:In this correspondence, we study the minimal eigenvalues of a class of block-tridia...
It has been observed that the statistical distribution of the eigenvalues of random matrices possesses universal properties, independent of the probability... B Eynard - 《Nuclear Physics B》 被引量: 121发表: 1997年 Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polyno...
We start with some basic notations and results about harmonic analysis of a compact Lie group. LetGbe a compact Lie group of real dimensionnwith unit elemente. A finite-dimensional unitary representationofGis a continuous group homomorphismofGinto the group of unitary matrices of a certain dimensio...
In general the problem of singular value decomposition over split quaternion algebra has hitherto remained tangential for split quaternion matrices. In this paper, by means of a real representation matrix of a split quaternion matrix, the singular value decomposition of split quaternion matrices is ...
The eigenvalues are real numbers when treated as a N×N quaternion matrix. The probability is invariant under symplectic transform, i.e. ON is replaced with SN∈Sp(N) The joint distribution of HNN is given by PN(x1,⋯,xN)=N!ZNGSEe−N∑i=1Nxi2∏i<j|xi−xj|4 where ZNGSE is ...
We show that, if f : M2×2 R is rank-one convex on the hyperboloid H-D := {X S2×2 : det X = -D, X11 0}, D 0, S2×2 is the set of 2×2 real symmetric matrices, then f can be approximated by quasi-convex functions on M2×2 uniformly on compact subsets of H-D. Equi...
17 December, 2024 in math.PR, paper | Tags: eigenvalue gaps, gaussian unitary ensemble, Hariharan Narayanan, random matrices | by Terence Tao | 7 comments I’ve just uploaded to the arXiv the paper “On the distribution of eigenvalues of GUE and its minors at fixed index“. This is ...
if any of the eigenvalues have a positive real part, the steady-state is unstable as the system will move away from it (exponentially fast) when infinitesimally perturbed. To constructA, one would need to precisely know the functionsfi, which is often hard to obtain. May’s approach was to...