Title :
Perturbation analysis for linear systems
Author_Institution :
Coll. of Math. & Inf. Eng., Taizhou Univ., Taizhou
Abstract :
Backward errors and condition numbers play an important role in modern numerical linear algebra. The sensitivity of a solution is measured by the condition number. This paper investigates the sensitivity, backward errors and condition numbers for the linear systems. Furthermore, some computable backward errors and condition numbers are derived both norm wise and componentwise.
Keywords :
linear algebra; linear systems; perturbation techniques; backward errors; computable backward errors; linear systems; numerical linear algebra; perturbation analysis; Linear systems; backward error; condition number; linear system;
Conference_Titel :
Image Analysis and Signal Processing, 2009. IASP 2009. International Conference on
Conference_Location :
Taizhou
Print_ISBN :
978-1-4244-3987-4
DOI :
10.1109/IASP.2009.5054667
