Solving banded matrices with SciPy – Part I « CAE in Action
Although the numerical analyst or the engineer is able to write his own code, there’s no doubt that it’s safer and easier to use a code already done. And if this code is part of a well conceptualized library, there’s no reason to reinvent the wheel. To exemplify this idea, let’s solve the tridiagonal system shown in the post TDMA at glance using the SciPy library. See the Python code: import numpy
Tridiagonal matrix algorithm - Wikipedia
In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written as where and . For such systems, the solution can be obtained in operations instead of required by Gaussian elimin
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