Condition number of Bott--Duffin inverse and their condition numbers

Authors:
Yimin Wei;Wei Xu
Affiliations:
Department of Mathematics, Fudan University, Shanghai 200433, China;Institute of Mathematics, Fudan University, Shanghai 200433, China
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

Various normwise relative condition numbers that measure the sensitivity of Bott-Duffin inverse and the solution of constrained linear systems are characterized. The sensitivity of condition number itself is then investigated. Finally, upper bounds are derived for the sensitivity of componentwise condition numbers.