Tag
backward-error
- Oct 12, 2026 Condition Number, Residual, and Backward Error Why a small residual does not imply a small error, how the condition number splits the blame between problem and algorithm, and how to estimate it without forming an inverse. scientific computing
- Aug 24, 2026 LU Factorization with Partial Pivoting and Element Growth How the pivot search bounds every multiplier by one, why that bound still does not bound the factors, and what the growth factor costs in practice. scientific computing
- Jun 27, 2026 Forward Error, Backward Error, and Condition Numbers Separating what the algorithm got wrong from what the problem amplifies, why the rounding model hands over a backward error for free, and how a small residual can still mean a wrong answer. scientific computing