On Tuesday, June 16, 2015 at 5:02:28 PM UTC+2, Shivam Vats wrote: > > > Thanks a lot Fredrik! This looks very interesting! I will > definitely read your paper. Could you point me to references > for inverting compositions of elementary functions? >
The general idea is that computing logarithmic and inverse trigonometric functions of formal power series is just algebraic operations on power series followed by formal (term by term) integration, e.g. log(f(x)) = int f'(x) / f(x) dx. From there, Newton iteration allows you to compute exponential and forward trigonometric functions. The Brent-Kung paper is probably the best place to start. As further reading, see the other references in my reversion paper (there's also a little more content in section 4 of my PhD thesis). Fredrik -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/93f55a83-3244-46a1-9a52-ddcc32e8c7ca%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
