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Our proposed method ensures sufficient descent independent of the accuracy of the line search and it is globally convergent under some assumptions.
Then, a hybrid self-adjusted mean value (HSMV) method is developed to enhance the robustness and efficiency of iterative scheme in the reliability loop, where the AMV is combined with the SMV on the basis of sufficient descent condition.
More importantly, they satisfied the sufficient descent condition (5).
The given method possesses the sufficient descent property for the normal function (p(x)).
(17) This indicates that the TMPRP1 method and the TMPRP2 method satisfy the sufficient descent property.
These modified methods possess the sufficient descent property without any line searches.
Similar(12)
In genetic evolution, selection is often weak enough that relatedness through common descent is sufficient to predict patterns of social interaction, providing a powerful tool for understanding the evolution of social behavior.
The International HapMap project demonstrated that 300,000-500,000 tag SNPs in European or Asian populations or 1.1 million tag SNPs in African individuals of Yoruban descent is sufficient to capture the majority of our common genetic variation (common variants are taken here as those with a greater than 5% minor allele frequency) [ 28, 29].
Thirty or so years ago, Brown says, seven of the world's 10 largest banks were Japanese, which was not an advantage sufficient to prevent Japan's descent into prolonged stagnation.
In 2009 the Lunar Reconnaissance Orbiter (LRO) imaged the various Apollo landing sites on the surface of the Moon with sufficient resolution to see the descent stages of the lunar modules, scientific instruments, and foot trails made by the astronauts.
The proliferation of the urs mesenchyme was only reduced at the later stage of septation at E13.5 in GOF mutants (co-submitted MS: Miyagawa et al)., suggesting that the proliferating urs mesenchyme per se was not sufficient to drive the early descent of urs.
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CEO of Professional Science Editing for Scientists @ prosciediting.com