Mathematician Finds Easier Way to Solve Quadratic Equations

[carey]

(05-05-2024 01:18 PM)Namir Wrote:  

(05-05-2024 06:31 AM)carey Wrote:  And what’s wrong with using Cramer’s rule for linear systems?

In the late 80s I attended a programmers' conference in Boston. A speaker mentioned that he encountered a math application that was running WAY TOO SLOW! When he checked the source code, he found that the code author was using Cranmer's method to solve linear equations. You should have heard the attendees reaction .. a resounding ouuuuuuuh!!!

Just sharing!

Yes, Cramer's rule is awful as a numerical method, but, using symbolic determinants, as the IEEE article linked in my previous tongue-in-cheek reply shows, offers unique advantages for obtaining symbolic results, e.g., transfer functions at any point in a linear system. The classic books Network Analysis and Feedback Amplifier Design by Hendrik Bode and Control-System Dynamics by Walter Evans (originator of the root-locus method), make good use of Cramer's rule to derive symbolic results.