Can I read Matrix Inequality with Unit Vector on EtoBox?

Matrix Inequality with Unit Vector by zhangzujin is a document available to read on EtoBox.

What is Matrix Inequality with Unit Vector about?

The document presents a numerical inequality related to matrices and unit vectors, demonstrating that for any n-by-n matrix A and real k ≥ 2, the inequality |x ∗ Ax|k ≤ x ∗ |A|k x holds for all unit vectors x in Cn. The authors provide a detailed proof and discuss the implications of the inequality, including its relationship to the numerical radius and spectral norm of the matrix. Additionally, they explore counterexamples and generalizations of the inequality.

Author

zhangzujin

Language

EN