C++ and Linear Algebra

Overview

Explore the proposal for adding linear algebra support to C++'s standard library, discussing its importance, requirements, and potential applications in geometry and color manipulation.

Syllabus

• Introduction to Linear Algebra in C++
Overview of Linear Algebra concepts
Importance of Linear Algebra in Programming
Introduction to the Proposal for C++ Standard Library
• Understanding the Proposal for Linear Algebra in C++
Examination of the Proposal's Goals and Scope
Key Features and Requirements
Comparison with Existing Libraries (e.g., Eigen, Armadillo)
• Implementing Basic Linear Algebra Operations
Vectors and Matrices: Definition and Creation
Basic Operations: Addition, Subtraction, Multiplication
Other Operations: Dot Product, Cross Product
• Advanced Linear Algebra Features
Eigenvalues and Eigenvectors
Matrix Decomposition: LU, QR, SVD
Solving Systems of Linear Equations
• Applications of Linear Algebra in Geometry
Transformations: Translation, Rotation, Scaling
3D Graphics and Rendering
• Applications of Linear Algebra in Color Manipulation
Color Spaces and Transformations
Image Processing using Linear Algebra
• Performance and Optimization Considerations
Memory Management and Performance Best Practices
Optimizing Linear Algebra Computations in C++
• Hands-On Projects and Case Studies
Real-world applications using Linear Algebra in C++
Project 1: 3D Graphics Engine Fundamentals
Project 2: Image Filter Implementation
• Future Prospects and Conclusion
Future Directions for Linear Algebra Support in C++
Summary and Reflection on Learned Concepts

Subjects

Conference Talks