By SCM it meant Standard computational model. What expert answered in my previous question was it same? Or can you check and let me know the right concept and how to solve the problem 6.6.1.1 which I had posted earlier. It is related to numerical stability in Advanced linear algebra.

original problem was:

SCM : Standard computation model

Can you show the proof expected

Homework 6.6.1.1. In Units 6.3.1-3 we analyzed how error accumulates when computing a dot product of x and y of size m in the order indicated by =((((00+11)+22)+)+m1m1). Let's illustrate an alternative way of computing the dot product: - For m=2 : =00+11 - For m=4 : =(00+11)+(22+33) - For m=8 : =((00+11)+(22+33))+((44+55)+(66+77)) and so forth. Analyze how under the SCM error accumulates and state backward stability results. You may assume that m is a power of two