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High Performance Programming for Soft Computing
book

High Performance Programming for Soft Computing

by Oscar Montiel Ross, Roberto Sepulveda
February 2014
Intermediate to advanced content levelIntermediate to advanced
376 pages
11h 49m
English
CRC Press
Content preview from High Performance Programming for Soft Computing
GPU-based Conjugated Gradient Solution for Phase Field ModelsGPU-based Conjugated Gradient Solution for Phase Field Models 115
it is clear that α should be chosen so that
and are orthogonal.
From Eqs. (5.2.5) and (5.2.6)
(5.2.12)
and replacing Eq. (5.2.12) in Eq. (5.2.11)
. (5.2.13)
Considering
, (5.2.14)
and substituting Eq. (5.2.7) in Eq. (5.2.14)
. (5.2.15)
Rearranging terms
(5.2.16)
and considering
. (5.2.17)
The equation for the step size is obtained by clearing α
(5.2.18)
Therefore, the SD method consists of a loop made of three fundamental
steps given an initial value : fi rst, the residual, i.e., the steepest descent
direction is calculated ...
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Publisher Resources

ISBN: 9781466586017