Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices

Y Yin, Z Bai - Journal of Statistical Physics, 2014 - Springer
… , convergence rates of the spectral distributions of quaternion self-dual Hermitian matrices
… large quaternion self-dual Hermitian matrix converges to the semicircular law in a rate of \(O(…

On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems

ZZ Bai - Computing, 2010 - Springer
… on the rate of convergence about the same as that of the conjugate gradient method when
applied to the Hermitian matrix H(… 2.1.3] the given bounds of convergence rates could be very …

Rate of convergence for products of independent non-Hermitian random matrices

J Jalowy - 2021 - projecteuclid.org
rate of convergence of the empirical spectral distribution of products of independent non-Hermitian
random matrices … First, we prove that for products of Ginibre matrices, the optimal rate

On successive‐overrelaxation acceleration of the Hermitian and skew‐Hermitian splitting iterations

ZZ Bai, GH Golub, MK Ng - Numerical Linear Algebra with …, 2007 - Wiley Online Library
convergence speed about the same as that of the conjugate gradient method when applied
to Hermitian matrices… study the convergence properties and analyse the convergence rate of …

A new approach to the determination of several eigenvectors of a large hermitian matrix

JAR Coope, DW Sabo - Journal of Computational Physics, 1977 - Elsevier
… effects of varying the size of the matrix, the ordering of the diagonal … In addition to the
convergence rates for the three algorithms … of each of these matrices and the convergence rate, as …

On polynomial preconditioning and asymptotic convergence factors for indefinite Hermitian matrices

R Freund - Linear algebra and its applications, 1991 - Elsevier
… coefficient matrix … the convergence of the minimal residual method optimally is also addressed.
For this task, we propose an approach based on the concept of asymptotic convergence

Rapid convergence rate in adaptive arrays

IS Reed, JD Mallett, LE Brennan - IEEE Transactions on …, 1974 - ieeexplore.ieee.org
… and M is a positive definite N X N Hermitian matrix, then … The purpose of this paper is to
compare the convergence ratesmatrix inversion of M, where M is the estimate of the covariance …

[HTML][HTML] Convergence rate for spectral distribution of addition of random matrices

Z Bao, L Erdős, K Schnelli - Advances in Mathematics, 2017 - Elsevier
… unitary matrix. This observation identifies the law of the sum of two large Hermitian matrices
in … deterministic N by N Hermitian matrices and U is a Haar distributed unitary matrix, then the …

A guided genetic algorithm for diagonalization of symmetric and Hermitian matrices

Y Villacampa, FJ Navarro-González… - Applied Soft …, 2019 - Elsevier
… In the previous applications, the convergence rate follows the typical behaviour of a
genetic algorithm. A characteristic generation-error graphics has the form of Fig. 6. …

Random matrices: universality of local spectral statistics of non-Hermitian matrices

T Tao, V Vu - 2015 - projecteuclid.org
matrices, and for several modes of convergence. In particular, it holds (both in probability and
in the almost sure sense) for random matrices … again obtain a polynomial decay rate O(n −c…