In the following, we will extend the spectral gradient with step size (alpha_{k}^{mathrm{I}}) and (alpha_{k}^{mathrm {II}}) to solve constrained equations (1) by some new type Armijo line searches, and we propose two spectral gradient projection methods, which are not only globally convergent, but also have a linear convergence rate.
A minority of scientists, most notably Alan Feduccia and Larry Martin, have proposed other evolutionary paths, including revised versions of Heilmann's basal archosaur proposal, or that maniraptoran theropods are the ancestors of birds but themselves are not dinosaurs, only convergent with dinosaurs.
This latter result shows that Grothendieck's theorem on weak* convergent sequences of measures is valid not only for weak* convergent sequences but also for weak* compact subsets with a control measure.
In the approach presented in this work, the LTE-based time-step evaluation procedure is applied not only after a convergent temperature field is obtained at each time step, but also during the nonlinear iterations performed at each time step whenever a convergence problem is encountered.
Therefore, when the designed filter is applied, the response of WTS is not only stable but also convergent to that of WT.
The fact that S. Typhi and S. Paratyphi A are found in a well supported subclade, suggests that similarity in gene content between these serovars can not only be attributed to convergent evolution due to adaptation to the human host, as suggested by Didelot et al. [ 5], but also reflects shared recent common ancestry.
It has been shown through an asymptotic analysis that the 1D slab-geometry lumped linear-discontinuous scheme not only goes over to a convergent and robust differencing of the diffusion equation in the monoenergetic thick diffusion limit, but it also yields the correct interior solution, even when boundary layers are left unresolved by the spatial mesh.
Meachen-Samuels contends that convergent evolution is not only responsible for the link between the sizes and shapes of fangs and forelimbs in Nimravidae, Barbourofelidae, and saber-toothed cats but also produced the similar overall shapes of the bodies and skulls of these predators.
If HLA-E and H2-Qa1 arose by convergent evolution, this must not only have taken place earlier than the intra-order species divergence, roughly 50 million years ago, and after the primate-rodent split 100 million years ago.
Resemblances among these large, multi-domain proteins are due not only to shared ancestry (homology) but also to convergent evolution (analogy).
Convergent neurons in the TCC have input not only from ipsi- but also from contralateral cervical afferents [16].
