30 citations · 85 across the 15 of their papers we have counts for
7 papers · 1 filter
Quantum radial basis function methods for scattered data fitting
Lingxia Cui, Hua Xiang
Scattered data fitting is a frequently encountered problem for reconstructing an unknown function from given scattered data. Radial basis function (RBF) methods have proven to be h…
A quantum-inspired algorithm for approximating statistical leverage scores
Qian Zuo, Hua Xiang
Suppose a matrix of rank with singular value decomposition , where , $V_{A} \in \ma…
Randomized QLP algorithm and error analysis
Nianci Wu, Hua Xiang
In this paper, we describe the randomized QLP (RQLP) algorithm and its enhanced version (ERQLP) for computing the low rank approximation to of size efficiently such…
Preconditioners and Their Analyses for Edge Element Saddle-point Systems Arising from Time-harmonic Maxwell Equations
Hua Xiang, Shiyang Zhang, Jun Zou
We shall propose and analyze some new preconditioners for the saddle-point systems arising from the edge element discretization of the time-harmonic Maxwell equations in three dime…
Adaptive Uzawa algorithm for nonsymmetric generalized saddle point problem
Hailun Shen, Hua Xiang
In this paper, we extend the inexact Uzawa algorithm in [Q. Hu, J. Zou, SIAM J. Matrix Anal., 23(2001), pp. 317-338] to the nonsymmetric generalized saddle point problem. The techn…
An Inexact Uzawa Algorithm for Generalized Saddle-Point Problems and Its Convergence
Kazufumi Ito, Hua Xiang, Jun Zou
We propose an inexact Uzawa algorithm with two variable relaxation parameters for solving the generalized saddle-point system. The saddle-point problems can be found in a wide clas…
Perturbation Analysis and Randomized Algorithms for Large-Scale Total Least Squares Problems
Pengpeng Xie, Yimin Wei, Hua Xiang
In this paper, we present perturbation analysis and randomized algorithms for the total least squares (TLS) problems. We derive the perturbation bound and check its sharpness by nu…