Lectures related to Asymptotically optimal algorithm

Discusses the Verlet and Gear algorithms for harmonic oscillators, emphasizing stability and performance evaluation.

Discusses matrix multiplication using divide-and-conquer techniques and introduces Strassen's algorithm for improved efficiency.

Discusses Strassen's algorithm for matrix multiplication and heaps, covering efficient algorithms and their applications in computer science.

Explores theoretical and practical aspects of fast matrix-matrix multiplication algorithms and their significance in computer science.

Explores algorithmic complexity, visualization of functions, and algorithm efficiency analysis using Python.

Explores online matching in evolving environments, addressing challenges and solutions for adapting algorithms to changing data.

Explores optimization problems and greedy algorithms to find the best solutions efficiently.

Covers algorithmic complexity and travel time analysis, focusing on measuring the time taken by algorithms and evaluating their performance.

Covers the Heapsort algorithm, which sorts arrays efficiently using max-heaps and introduces priority queues.

Explores optimization problems solved with greedy algorithms and proves the optimality of the Cashier's Algorithm for U.S. coins.

Analyzes the running time and comparisons in randomized quick sort, proving its efficiency and optimality in comparison sorting.

Explores heaps, heapsort, and priority queues, including operations and analysis.

Explores graph traversal methods, spanning trees, and shortest paths using BFS and DFS.

Explores algorithmic complexity, comparing growth rates using Theta notation and characterizing different complexity classes.