https://sailingdatalakes.com/tags/numerical-methods/Recent content in Numerical Methods on SailingDataLakesHugo -- gohugo.ioenSat, 04 Jul 2026 00:00:00 +0000https://sailingdatalakes.com/posts/root-finding/Sat, 04 Jul 2026 00:00:00 +0000https://sailingdatalakes.com/posts/root-finding/Purpose Link to heading We’ve now solved for model parameters directly, with linear regression’s closed-form OLS solution, and iteratively, with gradient descent. Both problems boiled down to finding where a derivative equals zero. The more general version of that problem — finding where some function $f$ itself equals zero, with no derivative in sight — shows up everywhere: pricing a bond to match a target yield, finding the break-even point of a nonlinear cost curve, or solving an equilibrium condition that has no closed form.