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Dopico, Froilán M. It is important both in itself and because it is an intermediate step in many other important problems. Gaussian elimination is nowadays the standard method for solving this problem numerically on a computer and it was the first numerical algorithm to be subjected to rounding error analysis. In addition, Turing presented an error analysis of Gaussian elimination for general matrices that deeply influenced the spirit of the definitive analysis developed by James Wilkinson in At that time, it was not clear at all whether Gaussian elimination was a right choice or not.

Dopico, Froilán M.

The purpose of this paper is to revise, at an introductory level, the contributions of Alan Turing and other authors to the error analysis of Gaussian elimination, the historical context of these contributions, and their influence on modern Numerical Analysis.

La resolución de sistemas de ecuaciones lineales es sin duda el problema más importante en Matemática Aplicada.

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Es importante en sí mismo y también porque es un paso intermedio en la resolución de muchos otros problemas de gran relevancia. La eliminaci Science. He is not known for talking about his childhood, but we do know that he liked to sing and was part of a group called the Avocets.

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He was offered a fellowship to do his PhD at Cambridge, but he had a negative reaction to a visit there and decided to stay at Manchester, where he pursued his studies in Astronomy, completing his PhD in With a highly disengaged thesis advisor, Alan was largely self-taught as YENIS Share Option Tehingud graduate student. He studied planetary atmospheres.

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Toward the YENIS Share Option Tehingud of his studies, Alan participated in a summer school organized by Steve Thorpe in Bangor,Wales, where he came into contact with the broader international community in geophysical fluid dynamics.

Another key early influence whom Alan met then was Michael McIntyre.

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McIntyre's interest and encouragement were very important to Alan at that early time and would continue to be so in later years, including after his move to Australia.