3 papers
math.NA2022
Error estimates of Kaczmarz and randomized Kaczmarz methods
Chuan-gang Kang, Heng Zhou
The Kaczmarz method is an iterative projection scheme for solving con-sistent system . It is later extended to the inconsistent and ill-posed linear problems. But the class…
math.NT2017
On generalizations of -sets and their applications
Heng Zhou, Zhiqiang Xu
The -set, which is in a simple analytic form, is well distributed in unit cubes. The well-known Weil's exponential sum theorem presents an upper bound of the exponential sum ove…
math.NA2014
The lower bound of the PCM quantization error in high dimension
Heng Zhou, Zhiqiang Xu
In this note, we investigate the performance of the PCM scheme with linear quantization rule for quantizing unit-norm tight frame expansions for without the White N…