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This material has been adapted from material by Martin Robinson from the "Scientific Computing" module of the SABS R³ Center for Doctoral Training.

This material has been adapted from material by Martin Robinson from the "Scientific Computing" module of the SABS R³ Center for Doctoral Training.

Creative Commons License
This course material was developed as part of UNIVERSE-HPC, which is funded through the SPF ExCALIBUR programme under grant number EP/W035731/1

This course material was developed as part of UNIVERSE-HPC, which is funded through the SPF ExCALIBUR programme under grant number EP/W035731/1

Creative Commons License

Linear Algebra Solvers

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Linear algebra is the branch of mathematics concerning sets of linear equations of the form a1x1+a2x2+⋯+anxn=ba_1x_1 + a_2x_2 + \cdots + a_nx_n = b, which can be written using matrices and vectors as Ax=bAx = b.

The solution of these types of equations is fundamental to many areas of science and engineering, and is essential to the study of machine learning, data science, modelling, and simulation.