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- W2080254781 abstract "The problem of finding the roots of a single nonlinear equation on an MIMD computer system is considered. Two globally convergent strategies for exploiting the parallelism in the computer system are investigated and compared. In one strategy a serial root finding algorithm is used, with the parallel computation capabilities of the system being used to speed up the necessary function evaluations. For a given function this increase in speed is determined by a known speed-up function $S_p $ which relates the number of processors available to function evaluation time. Linear and logarithmic speed-up functions are investigated. In the second strategy a parallel root finding algorithm is used. Function evaluations are performed serially, one function evaluation being performed on each processor. Two new parallel root finding algorithms based on contraction mapping and Halley’s method are presented and their convergence properties examined. Expressions for comparing the two strategies are derived and decision curves presented." @default.
- W2080254781 created "2016-06-24" @default.
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- W2080254781 date "1985-04-01" @default.
- W2080254781 modified "2023-09-25" @default.
- W2080254781 title "Two Strategies for Root Finding on Multiprocessor Systems" @default.
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- W2080254781 doi "https://doi.org/10.1137/0906023" @default.
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