Sharp error bounds for complex floating-point inversion

Author:

Jeannerod Claude-Pierre,Louvet Nicolas,Muller Jean-MichelORCID,Plet Antoine

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference13 articles.

1. Baudin, M.: Error bounds of complex arithmetic. Available at http://forge.scilab.org/upload/compdiv/files/complexerrorbounds_v0.2.pdf (2011)

2. Baudin, M., Smith, R.L.: A robust complex division in Scilab. Available at http://arxiv.org/abs/1210.4539 (2012)

3. Brent, R., Percival, C., Zimmermann, P.: Error bounds on complex floating-point multiplication. Math. Comput. 76(259), 1469–1481 (2007)

4. Champagne, W.P.: On finding roots of polynomials by hook or by crook. Master’s thesis, University of Texas (1964)

5. Higham, N. J.: Accuracy and Stability of Numerical Algorithms, second edn. SIAM, Philadelphia, PA, USA (2002)

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