Matrices, Norms, and Condition Numbers

Richard L. Branham
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Richard L. Branham: Jefe Area Matematicas y Del Centro Regional de Investigaciones Científicas y Tecnológicas

Chapter Chapter 2 in Scientific Data Analysis, 1990, pp 20-33 from Springer

Abstract: Abstract Matrix notation greatly facilitates the theoretical discussion of overdeter- mined systems, although the actual computational steps are often more effectively implemented by other means. Matrices are so familiar that to present a definition of them seems unduly formal, almost a waste of time. Nevertheless, for the sake of completeness we give a definition. A matrix is an array of mn elements, arranged in m rows and n columns (2.1) $$A = \left( {\begin{array}{*{20}{c}} {{a_{11}}}&{{a_{12}}}& \cdots &{{a_{1n}}} \\ {{a_{21}}}&{{a_{22}}}& \cdots &{{a_{2n}}} \\ \vdots & \vdots &{}& \vdots \\ {{a_{m1}}}&{{a_{m2}}}&{}&{{a_{mn}}} \end{array}} \right).$$ .

Keywords: Linear System; Condition Number; Inverse Matrix; Matrix Norm; Matrix Inversion (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4612-3362-6_2

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