ffsshhttiikk What I do
- Design efficient numerical algorithms
- Implement matrix computations and factorizations
- Solve linear and nonlinear systems
- Optimize computational complexity
- Handle numerical stability issues
- Implement interpolation and approximation methods
When to use me
When writing performance-critical code or implementing numerical algorithms.
Key Concepts
- Big-O Notation: Algorithm complexity classification
- Matrix Factorizations: LU, QR, Cholesky, SVD decompositions
- Numerical Stability: Condition numbers and error propagation
- Iterative Methods: Conjugate gradient, GMRES for large systems
- Fast Fourier Transform: O(N log N) algorithm for discrete Fourier transforms
- Numerical Integration: Trapezoidal, Simpson's, Gaussian quadrature