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math.NA2022
Three New Arnoldi-Type Methods for the Quadratic Eigenvalue Problem in Rotor Dynamics
Dong Li, Li-fang Chen
Three new Arnoldi-type methods are presented to accelerate the modal analysis and critical speed analysis of the damped rotor dynamics finite element (FE) model. They are the linea…
math.NA2021
The global landscape of phase retrieval I: perturbed amplitude models
Jian-Feng Cai, Meng Huang, Dong Li +1
A fundamental task in phase retrieval is to recover an unknown signal $\vx\in \Rn$ from a set of magnitude-only measurements $y_i=\abs{\nj{\va_i,\vx}}, \; i=1,\ldots,m$. In this pa…
math.NA2021
A global quadratic speed-up for computing the principal eigenvalue of Perron-like operators
Dong Li, Jianan Li
We consider a new algorithm in light of the min-max Collatz-Wielandt formalism to compute the principal eigenvalue and the eigenvector (eigen-function) for a class of positive Perr…