In this chapter we present algorithms and error analysis of numerical methods for solving linear systems $$Ax=b$$with nonsingular square matrices. Here we present only direct methods. They are called direct because in the absence of rounding errors they would give the exact solution of $$Ax = b$$after a finite number of steps.
CITATION STYLE
Beilina, L., Karchevskii, E., & Karchevskii, M. (2017). Solving Systems of Linear Equations. In Numerical Linear Algebra: Theory and Applications (pp. 249–289). Springer International Publishing. https://doi.org/10.1007/978-3-319-57304-5_8
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