53 citations · 144 across the 20 of their papers we have counts for
6 papers · 1 filter
A Parallel Direct Eigensolver for Sequences of Hermitian Eigenvalue Problems with No Tridiagonalization
Shengguo Li, Xinzhe Wu, Jose E. Roman +3
In this paper, a Parallel Direct Eigensolver for Sequences of Hermitian Eigenvalue Problems with no tridiagonalization is proposed, denoted by \texttt{PDESHEP}, and it combines dir…
Iteratively Linearized Reweighted Alternating Direction Method of Multipliers for a Class of Nonconvex Problems
Tao Sun, Hao Jiang, Lizhi Cheng +1
In this paper, we consider solving a class of nonconvex and nonsmooth problems frequently appearing in signal processing and machine learning research. The traditional alternating…
Updating quadratic palindromic models with no spillover effect on unmeasured spectral data
Kang Zhao, Lizhi Cheng, Shengguo Li +1
This paper concerns the model updating problems with no spillover of the quadratic palindromic system
Accurate Quotient-Difference algorithm: error analysis, improvements and applications
Peibing Du, Roberto Barrio, Hao Jiang +1
The compensated quotient-difference (Compqd) algorithm is proposed along with some applications. The main motivation is based on the fact that the standard quotient-difference (qd)…
A note on alternating minimization algorithms: Bregman frame
Tao Sun, Lizhi Cheng
In this paper, we propose a Bregman frame for several classical alternating minimization algorithms. In the frame, these algorithms have uniform mathematical formulation. We also p…
A note on the convergence of nonconvex line search
Tao Sun, Lizhi Chenga, Hao Jiang
In this note, we consider the line search for a class of abstract nonconvex algorithm which have been deeply studied in the Kurdyka-Lojasiewicz theory. We provide a weak convergenc…