In this post, we attempt to unravel the mysteries of the “magic” constant found in the fast inverse sqrt method in an intuitive fashion.
Suppose that we’re given the function , find the ordinary generating function associated with it in the form of . Furthermore, find/compute .
We consider the problem of efficiently computing the infinity norm of the inverse of a lower bidiagonal matrix L in linear time.
The first part on a series designed to survey the design and analysis of various numerical methods will look at error propagation.
How can you compute to 14 digits of accuracy within the domain ?