论文信息 - Condition number of Bott-Duffin inverse and their condition numbers

Condition number of Bott-Duffin inverse and their condition numbers

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.

Wei Xu | Yimin Wei

[1] Desmond J. Higham,et al. Condition numbers and their condition numbers , 1995 .

[2] J. Demmel. On condition numbers and the distance to the nearest ill-posed problem , 2015 .

[3] R. Duffin,et al. On the algebra of networks , 1953 .

[4] D. Lezotte,et al. The generalized inverse , 1976, APLQ.

[5] Jiri Rohn. New condition numbers for matrices and linear systems , 2005, Computing.

[6] Adi Ben-Israel,et al. Generalized inverses: theory and applications , 1974 .

[7] Gene H. Golub,et al. Matrix computations , 1983 .