Shortest Addition Chain Algorithm
Now we focus on the shortest addition chains. 36 rows Shortest Addition Chains. Addition Chains A graphics processing unit GPU has been widely used to accelerate discrete optimization problems. Shortest addition chain algorithm . Here are the sums that make it an addition chain. To be more precise any chain length is equal to log 2n plus the number of small steps. The first example of where it does better is for a 15 displaystyle a15 where the binary method needs six multiplies but a shortest addition chain requires only five. Introduction A finite sequence of positive integers a 0 a 1 a. Trivially the shortest chain for any number nmust have at least log 2n steps. λ ai λ ai-1 1 and we call this a large step. The computational aspects of finding the shortest addition chains for an integer are investigated in this work. It is extremely popular. Brauers algorithm is often called the left-to-right 2k-ary method or simply 2k-ary method. In this paper we intro