1 citations · 2 across the 7 of their papers we have counts for
6 papers
Rational Curves on Real Classical Groups
Zijia Li, Ke Ye
This paper is concerned with rational curves on real classical groups. Our contributions are three-fold: (i) We determine the structure of quadratic rational curves on real classic…
Simple matrix models for the flag, Grassmann, and Stiefel manifolds
Lek-Heng Lim, Ke Ye
We derive three families of orthogonally-equivariant matrix submanifold models for the Grassmann, flag, and Stiefel manifolds respectively. These families are exhaustive -- every o…
Minimal equivariant embeddings of the Grassmannian and flag manifold
Lek-Heng Lim, Ke Ye
We show that the flag manifold , with Grassmannian the special case , has an -equivariant e…
A quasi-optimal lower bound for skew polynomial multiplication
Qiyuan Chen, Ke Ye
We establish a lower bound for the complexity of multiplying two skew polynomials. The lower bound coincides with the upper bound conjectured by Caruso and Borgne in 2017, up to a…
Generalizing Frobenius Inversion to Quaternion Matrices
Qiyuan Chen, J. Uhlmann, Ke Ye
In this paper we derive and analyze an algorithm for inverting quaternion matrices. The algorithm is an analogue of the Frobenius algorithm for the complex matrix inversion. On the…
Multiplicities of eigenvalues of tensors
Shenglong Hu, Ke Ye
We study in this article multiplicities of eigenvalues of tensors. There are two natural multiplicities associated to an eigenvalue of a tensor: algebraic multiplicity $\operat…