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CHAPTER 2: ALGORITHM ANALYSIS 21 Mathematical Background

What is the mathematical analysis of an algorithm?
The analysis of algorithms involves studying something called the computational complexity of an algorithm to determine how much work the algorithm does in performing its task.
This, in turn, requires knowing the order of magnitude of any function we might come up with to express the amount of work done.
How to do algorithm analysis?
A complete analysis of the running time of an algorithm involves the following steps:
1Implement the algorithm completely.
2) Determine the time required for each basic operation.
3) Identify unknown quantities that can be used to describe the frequency of execution of the basic operations.
What is algorithm analysis summary?
Algorithm analysis is an important part of computational complexity theory, which provides theoretical estimation for the required resources of an algorithm to solve a specific computational problem.
Most algorithms are designed to work with inputs of arbitrary length.
Algorithm analysis is the process of evaluating the performance of an algorithm, usually in terms of its time and space complexity.
There are several ways to analyze the performance of an algorithm, including asymptotic analysis, which analyzes the behavior of an algorithm as the size of the input grows indefinitely.

What is the mathematical analysis of an algorithm?