Solving Systems of Linear Equations

Larisa Beilina (), Evgenii Karchevskii and Mikhail Karchevskii
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Larisa Beilina: Chalmers University of Technology and University of Gothenburg, Department of Mathematical Sciences
Evgenii Karchevskii: Kazan Federal University, Department of Applied Mathematics
Mikhail Karchevskii: Kazan Federal University, Department of Computational Mathematics

Chapter Chapter 8 in Numerical Linear Algebra: Theory and Applications, 2017, pp 249-289 from Springer

Abstract: Abstract 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-57304-5_8

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DOI: 10.1007/978-3-319-57304-5_8

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