45 citations · 45 across the 5 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.NA2022
Complex matrix inversion via real matrix inversions
Zhen Dai, Lek-Heng Lim, Ke Ye
We study the inversion analog of the well-known Gauss algorithm for multiplying complex matrices. A simple version is $(A + iB)^{-1} = (A + BA^{-1}B)^{-1} - i A^{-1}B(A+BA^{-1} B)^…
math.OC2022
Rank-constrained Hyperbolic Programming
Zhen Dai, Lek-Heng Lim
We extend rank-constrained optimization to general hyperbolic programs (HP) using the notion of matroid rank. For LP and SDP respectively, this reduces to sparsity-constrained LP a…
math.NA2022
Numerical stability and tensor nuclear norm
Zhen Dai, Lek-Heng Lim
We present a notion of bilinear stability, which is to numerical stability what bilinear complexity is to time complexity. In bilinear complexity, an algorithm for evaluating a bil…