#numerical-analysis

65. Numerical Analysis

This volume studies algorithms for approximating mathematical problems. It emphasizes stability, convergence, and computational efficiency. Part I. Foundations Chapter 1. Numerical Computation 1.1 Floating-point arithmetic 1.2 Rounding errors 1.3 Stability concepts 1.4 Conditioning 1.5 Examples Chapter 2. Error Analysis 2.1 Absolute and relative error 2.2 Propagation of errors 2.3 Backward and forward error 2.4 Sensitivity analysis 2.5 Examples Chapter 3. Linear Algebra Review 3.1 Vectors and matrices 3.2 Norms and...