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- W4382601876 abstract "In this chapter we describe some aspects of solving a linear system of equations of the form Ax = b by Gaussian elimination. We first examine some fundamental perturbation theory for this problem. Perturbation results can be combined with the rounding error results of the previous chapter to give estimates of solution accuracy. We then look further at the problem of relating sizes of residuals to actual errors. This leads to a method of iteratively improving a computed solution. Finally, we conclude with an overview of techniques for estimating the condition (sensitivity) of the problem of solving linear systems of equations, including statistical condition estimation." @default.
- W4382601876 created "2023-06-30" @default.
- W4382601876 date "2012-01-01" @default.
- W4382601876 modified "2023-09-24" @default.
- W4382601876 title "Chapter 7: Solving Linear Systems" @default.
- W4382601876 doi "https://doi.org/10.1137/1.9781611972214.ch7" @default.
- W4382601876 hasPublicationYear "2012" @default.
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