On Condition Numbers and the Distance to the Nearest Ill-posed Problem
James W Demmel
Gebundenes Buch

On Condition Numbers and the Distance to the Nearest Ill-posed Problem

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This work explores the relationship between condition numbers and the distance to the nearest ill-posed problem. It provides a rigorous mathematical analysis of condition numbers, particularly in the context of numerical stability and error analysis. The study focuses on understanding how sensitive a problem is to small changes in its input data and investigates the proximity to problems for which solutions are undefined or highly unstable. Intended for researchers and graduate students in mathematics, computer science, and engineering, "On Condition Numbers and the Distance to the Nearest Ill...