In this paper we will generalize a singular value inequality that was proved before. In particular we obtain an inequality for numerical radius as follows: begin{equation*} 2 sqrt{t (1-t)} omega(t A^{nu}B^{1-nu}+(1-t)A^{1-nu}B^{nu}) leq omega(t A + (1- t) B), end{equation*} where, $ A $ and $ B $ are positive semidefinite matrices, $ 0 leq t leq 1 $ and $ 0 leq nu leq frac{3}{2}.$

Matrix completion (MC) is widely used in machine learning and signal processing to fill the missing data of an incomplete observation matrix. Singular value thresholding (SVT) one most popular algorithms among numerous MC methods. A Python-based GPU-accelerated SVT software presented this paper. It a user-friendly package minimise nuclear norm with high accuracy computational efficiency. Its ar...