Lectures related to Matrix Multiplication and Heap Data Structure

Matrix Multiplication and Divide-and-Conquer Techniques

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

Matrix Multiplication and Heaps: Efficient Algorithms

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

Matrix Multiplication: Strassen's Algorithm

Introduces matrix multiplication and Strassen's algorithm, covering divide-and-conquer approach, data structures like heaps, and MAX-HEAPIFY operation.

Heaps and Priority Queues

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

Heaps: Data Structure and Heapsort

Explores heaps, heapsort, and their efficiency in implementing priority queues.

Matrix-Matrix Multiplication: Algorithms and Applications

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

Heaps and Heapsort

Covers heaps, heapsort, heap data structure, storage in arrays, and heap property maintenance.

Matrix Multiplication: Divide-and-Conquer

Explores the Divide-and-Conquer algorithm for matrix multiplication, including Strassen's Method and its significance in optimizing time complexity.

Matrix Multiplication: Algorithms and Complexity

Covers matrix notation, arithmetic, multiplication algorithms, and complexity analysis.

Recursion Trees and Matrix Multiplication

Covers recursion trees, the maximum subarray problem, and matrix multiplication approaches.

Matrix Multiplication: Algorithms and Complexity

Covers matrix notation, arithmetic, multiplication, algorithms, and complexity of matrix multiplication.

Dynamic Programming: Rod Cutting and Matrix Chain Multiplication

Introduces dynamic programming with a focus on rod cutting and matrix chain multiplication.

Matrix Multiplication: Divide-and-Conquer

Covers divide-and-conquer in matrix multiplication, recursion trees, the master method, maximum-subarray problem, and smart algorithm.

Matrix Operations: Definitions and Examples

Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.

O-Notation, Local Extrema

Covers O-Notation, local extrema, and critical points in functions.

Dynamic Programming: Rod Cutting and Matrix Chain Multiplication

Covers dynamic programming techniques for solving the rod cutting and matrix chain multiplication problems.

Matrix Calculus

Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Matrix Multiplication: Basics and Properties

Covers the basics of matrix multiplication, including properties and examples.

Matrix Multiplication

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Characterization of Invertible Matrices

Explores the properties of invertible matrices, including unique solutions and linear independence.