Linear algebraic equations

Ian Jacques and Colin Judd
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Ian Jacques: Coventry Lanchester Polytechnic, Department of Mathematics
Colin Judd: Coventry Lanchester Polytechnic, Department of Mathematics

Chapter 2 in Numerical Analysis, 1987, pp 8-42 from Springer

Abstract: Abstract Many important problems in science and engineering require the solution of systems of simultaneous linear equations of the form 2.1 $$\begin{gathered} a_{11} x_1 + a_{12} x_2 + \cdots + a_{1n} x_n = b_1 \hfill \\ a_{21} x_1 + a_{22} x_2 + \cdots + a_{2n} x_n = b_2 \hfill \\ \,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,. \hfill \\ \,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,. \hfill \\ \,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,. \hfill \\ a_{n1} x_1 + a_{n2} x_2 + \cdots + a_{nn} x_n = b_n \hfill \\ \end{gathered} $$ where the coefficients a ij and the right hand sides b i are given numbers, and the quantities x i are the unknowns which need to be determined.

Date: 1987
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DOI: 10.1007/978-94-009-3157-2_2

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