What is Linear Recurrence Relation?
In a linear recurrence relation, each term in the sequence is a linear combination of previous terms.
General form:
where, c1, c2, …, ck are constants and F(n) is a function.
Recurrence Relations Notes for GATE Exam [2024]Advanced master theorem for divide and conquer recurrences:
Recurrence relations are the mathematical backbone of algorithmic analysis, providing a systematic way to express the time complexity of recursive algorithms. As GATE Exam 2024 approaches, a profound understanding of recurrence relations becomes imperative for tackling questions that demand a deep comprehension of algorithmic efficiency. These notes aim to present a concise and illuminating guide to recurrence relations, covering key concepts and techniques that are likely to be assessed in the GATE examination.
Table of Content
- What is Recurrence Relations?
- What is Linear Recurrence Relation?
- How to Solve Recurrence Relations?
- 1. Substitution Method:
- 2. Recurrence Tree Method:
- 3. Master Method:
- Different types of recurrence relations and their solutions:
- Previously Asked GATE Questions on Recurrence Relations: