C. Jeannerod and S. M. Rump, On relative errors of floating-point operations: optimal bounds and applications Available: https, Mathematics of Computation, 2016.
DOI : 10.1090/mcom/3234

URL : https://hal.inria.fr/hal-00934443/document

D. E. Knuth, The Art of Computer Programming, Seminumerical Algorithms, 1998.

P. H. Sterbenz, Floating-Point Computation, 1974.

J. H. Wilkinson, The Algebraic Eigenvalue Problem, 1965.

C. Jeannerod, N. Louvet, J. Muller, and A. Plet, Sharp error bounds for complex floating-point inversion, Numerical Algorithms, vol.68, issue.227, pp.735-760, 2016.
DOI : 10.1007/s11075-016-0115-x

URL : https://hal.archives-ouvertes.fr/ensl-01195625

W. Kahan, Branch cuts for complex elementary functions or much ado about nothing's sign bit, " in The State of the Art in Numerical Analysis, pp.165-211, 1987.

T. E. Hull, T. F. Fairgrieve, and P. T. Tang, Implementing complex elementary functions using exception handling, ACM Transactions on Mathematical Software, vol.20, issue.2, pp.215-244, 1994.
DOI : 10.1145/178365.178404

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.5280

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 1997.

A. Ziv, Sharp ULP rounding error bound for the hypotenuse function, Mathematics of Computation, vol.68, issue.227, pp.1143-1148, 1999.
DOI : 10.1090/S0025-5718-99-01103-5

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.4602

D. Bindel, J. Demmel, W. Kahan, and O. Marques, On computing givens rotations reliably and efficiently, ACM Transactions on Mathematical Software, vol.28, issue.2, pp.206-238, 2002.
DOI : 10.1145/567806.567809

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.468