Abstract
We are interested in solving a system of linear equations
where A is a given n × n matrix and b ∈ ℝn is a given n-vector and we seek the solution vector x ∈ ℝn. We recall that if A is non-singular with non-zero determinant, then the solution x ∈ ℝn is theoretically given by Cramer’s formula. However if n is large, the computational work in using Cramer’s formula is prohibitively large, so we need to find a more efficient means of computing the solution.
All thought is a kind of computation. (Hobbes)
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© 2004 Springer-Verlag Berlin Heidelberg
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Eriksson, K., Estep, D., Johnson, C. (2004). Solving Linear Algebraic Systems. In: Applied Mathematics: Body and Soul. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05798-8_18
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DOI: https://doi.org/10.1007/978-3-662-05798-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05658-1
Online ISBN: 978-3-662-05798-8
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