Open AccessLower Bounds of the Smallest Singular Value of Matrices
Author(s) -
Ping Liao
Publication year - 2021
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v13n5p1
Subject(s) - mathematics , singular value , hermitian matrix , trace (psycholinguistics) , upper and lower bounds , matrix norm , combinatorics , value (mathematics) , matrix (chemical analysis) , euclidean geometry , norm (philosophy) , complex matrix , pure mathematics , eigenvalues and eigenvectors , mathematical analysis , geometry , statistics , law , linguistics , physics , philosophy , materials science , chromatography , quantum mechanics , chemistry , political science , composite material
In this paper, we get a lower bound of the smallest singular value of an arbitrarily matrix A by the trace of H(A) and the Euclidean norm of H(A), where H(A) is Hermitian part of A, numerical examples show the e ectiveness of our results.