Use of Recurrence Relation | How to calculate the time complexity of Algorithm
When we are preparing for the job as a software developer in MNC's like Google, Mata, IBM, etc., we usually focus mostly on the data structure and algorithms, and sometimes we fall behind in the analysis of the algorithms. So it is also a very demanding skill for tech companies to analyze the performance of the algorithms in terms of time and space complexity. For analyzing the algorithms, we first create the recurrence relation. What is the recurrence relation in the context of algorithms? A recurrence relation is a mathematical relation or expression that is used to describe the time complexity of a problem in terms of its solution to smaller instances of the same problem. A typical recurrence relation is in the form: T(n) = f(n) + T(h(n)) where T(n) is the time complexity of the problem of size n, f(n) is the time complexity of the current problem, and h(n) is the size of the subproblem being solved. The recurrence relation is used to calculate the time complexity of various alg