I am trying to understand the downsides of using the Gauss elimination method. Could someone explain the main disadvantage of this approach?
5 answers
KatanaSharpness
Wed Dec 25 2024
When dealing with the system of equations, converting them into matrix form is a standard step.
InfinityRider
Wed Dec 25 2024
During this conversion, one might be tempted to round off the coefficients to a manageable number of significant digits, for example, two significant digits.
noah_doe_writer
Wed Dec 25 2024
The Gaussian elimination method, a widely used technique in solving systems of linear equations, can sometimes yield inaccurate results.
CryptoTitan
Wed Dec 25 2024
This inaccuracy often arises when the terms in the augmented matrix undergo rounding off.
FireflySoul
Wed Dec 25 2024
Rounding off is a common practice to simplify calculations, but it can introduce errors in the solution.