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Relatively little known outside of Germany, Konrad Zuse realized the first functioning computer in 1941 and also developed with his so-called Plankalkül in 1943-1945 the first high-level programming language, However, his inventions were overshadowed by World War II, and his work was overtaken...
Newton's method for solving polynomial equations converges only linearly to a multiple root. The speed of several methods for accelerating the convergence have been compared numerically. The Madsen-Reid method proved to be the fastest, with the Aitken and Ostrowsky methods close behind.
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