5 citations · 10 across the 2 of their papers we have counts for
4 papers
Rayleigh-Ritz majorization error bounds of the mixed type
Andrew Knyazev, Peizhen Zhu
The absolute change in the Rayleigh quotient (RQ) for a Hermitian matrix with respect to vectors is bounded in terms of the norms of the residual vectors and the angle between vect…
Explicit model predictive control accuracy analysis
Andrew Knyazev, Peizhen Zhu, Stefano Di Cairano
Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be…
Angles between subspaces and their tangents
Peizhen Zhu, Andrew V. Knyazev
Principal angles between subspaces (PABS) (also called canonical angles) serve as a classical tool in mathematics, statistics, and applications, e.g., data mining. Traditionally, P…
Bounds for the Rayleigh quotient and the spectrum of self-adjoint operators
Peizhen Zhu, Merico E. Argentati, Andrew V. Knyazev
The absolute change in the Rayleigh quotient (RQ) is bounded in this paper in terms of the norm of the residual and the change in the vector. If is an eigenvector of a self-adj…