Title :
The Bounds for Spectral Norm and Frobenius Norm Condition Number of a Simple Matrix
Author :
Yang, Xingdong ; Chen, Cheng ; Ding, Zhiying ; Zhang, Jiajing
Author_Institution :
Coll. of Math. & Phys., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Abstract :
In this paper, we give the estimations both of spectral and Frobenius norm condition number of a simple matrix. The estimations can be used to measure the sensitivity of the solution of linear systems.
Keywords :
linear systems; matrix algebra; number theory; Frobenius norm condition number; sensitivity measurement; simple matrix; spectral norm condition number; systems; Educational institutions; Eigenvalues and eigenfunctions; Equations; Estimation; Information science; Physics; Condition number; Frobenius norm; Spectral norm; Spectral radius;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.123
