107 citations · 551 across the 65 of their papers we have counts for
6 papers · 1 filter
Accurate Solutions of Polynomial Eigenvalue Problems
Yiling You, Jose Israel Rodriguez, Lek-Heng Lim
Quadratic eigenvalue problems (QEP) and more generally polynomial eigenvalue problems (PEP) are among the most common types of nonlinear eigenvalue problems. Both problems, especia…
Complex best -term approximations almost always exist in finite dimensions
Yang Qi, Mateusz Michałek, Lek-Heng Lim
We show that in finite-dimensional nonlinear approximations, the best -term approximant of a function almost always exists over but that the same is not true ov…
An elementary and unified proof of Grothendieck's inequality
Shmuel Friedland, Lek-Heng Lim, Jinjie Zhang
We present an elementary, self-contained proof of Grothendieck's inequality that unifies the real and complex cases and yields both the Krivine and Haagerup bounds, the current bes…
Grothendieck constant is norm of Strassen matrix multiplication tensor
Jinjie Zhang, Shmuel Friedland, Lek-Heng Lim
We show that two important quantities from two disparate areas of complexity theory --- Strassen's exponent of matrix multiplication and Grothendieck's constant --- are i…
Macroeconomics and FinTech: Uncovering Latent Macroeconomic Effects on Peer-to-Peer Lending
Jessica Foo, Lek-Heng Lim, Ken Sze-Wai Wong
Peer-to-peer (P2P) lending is a fast growing financial technology (FinTech) trend that is displacing traditional retail banking. Studies on P2P lending have focused on predicting i…
Theoretical and computational aspects of entanglement
Harm Derksen, Shmuel Friedland, Lek-Heng Lim +1
We show that the two notions of entanglement: the maximum of the geometric measure of entanglement and the maximum of the nuclear norm is attained for the same states. We affirm th…