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| 1 | STABILIZED BARZILAI-BORWEIN METHOD显示文摘The Barzilai-Borwein(BB)method is a popular and efficient tool for solving large-scale unconstrained optimization problems.Its search direction is the same as for the steepest descent(Cauchy)method,but its stepsize rule is different.Owing to this,it converges much faster than the Cauchy method.A feature of the BB method is that it may generate too long steps,which throw the iterates too far away from the solution.Moreover,it may not converge,even when the objective function is strongly convex.In this paper,a stabilization technique is introduced.It consists in bounding the distance between each pair of successive iterates,which often allows for decreasing the number of BB iterations.When the BB met hod does not converge,our simple modification of this method makes it convergent.For strongly convex functions with Lipsch计s gradients,we prove its global convergence,despite the fact that no line search is involved,and only gradient values are used.Since the number of stabilization steps is proved to be finite,the stabilized version inherits the fast local convergence of the BB met hod.The presented results of extensive numerical experiments show that our stabilization technique often allows the BB method to solve problems in a fewer计erations,or even to solve problems where the latter fails. | Oleg Burdakov Yuhong Dai Na Huang | 2019 | Journal of Computational Mathematics2019，37，6： | 1 |
| 2 | Cholecystokinin tunes firing of an electrically distinct subset of arcuate nucleus neurons by activating A-Type potassium channels显示文摘 | Burdakov D Ashcroft FM | 2002 | J Neurosci2002，22，15： | 1 |
| 3 | Optimal placement of UV-based communications relay nodes显示文摘 | Burdakov O Doherty P Holmberg K | | 0，，04： | 1 |
| 4 | Relay positioning for unmanned aerial vehicle surveillance显示文摘 | Burdakov O Doherty P Holmberg K | | 0，，08： | 1 |
| 5 | Biophysical re - equilibration of Ca^2+ fluxes as a simple biologically plausible explanation for complex intracellular Ca^2+ release patterns显示文摘 | Burdakov D Verkhratsky A | 2006 | FEBS Lett2006，380，： | 1 |
| 6 | Physiological changes in glucose differentially modulate the excitability of hypothalamic melanin-concentrating hormone and orexin neurons in situ显示文摘 | BURDAKOV D GERASIMENKO O VERKHRATSKY A | 2005 | The Journal of Neuroscience2005，25，9： | 1 |
| 7 | Metabolic state signalling through central hypocretin/orexin neurons显示文摘 | BURDAKOV D ALEXOPOULOS H | 2005 | Journal of Cellular and Molecular Medicine2005，9，4： | 1 |
| 8 | Multiple hypothalamic circuits sense and regulate glucose levels显示文摘 | KARNANI M BURDAKOV D | 2011 | American Journal of Physiology:Regulatory Integrative and Comparative Physiology2011，300，1： | 1 |
| 9 | Physiological functions of glucose-inhibited neurones显示文摘 | BURDAKOV D GONZ(A) LEZ J A | 2009 | Acta Physiologica2009，195，1： | 1 |
| 10 | Dissociation between sensing and metabolism of glucose in sugar sensing neurones显示文摘 | GONZALEZ J A REIMANN F BURDAKOV D | 2009 | Journal of Physiologica2009，587，1： | 1 |
| 11 | Glucose-sensing neurons of the hypothalamus显示文摘 | BURDAKOV D LUCKMAN S M VERKHRATSKY A | 2005 | Philosophical Transactions of the Royal Society of London:Series B Biological Sciences2005，360，： | 1 |
| 12 | Multiple hypothalamic circuits sense and regulate glucose levels 显示文摘 | Kamani M Burdakov D | 2011 | Am J Physiol Regul Integr Comp Physiol2011，300，1： | 1 |
| 13 | Optimal placement of UV-based communications relay nodes显示文摘 | Oleg Burdakov Patrick Doherty K j Holmberg | 2010 | Journal of Global Optimization2010，48，4： | 1 |
| 14 | Intraluminal calcium as a primary regulator of endoplasmic reticulum function显示文摘 | Burdakov D Petersen OH Verkhratsky A | 2005 | Cell Calcium2005，38，34： | 1 |
| 15 | A greedy algorithm for the optimal basisproblem显示文摘 | Oleg Burdakov | 1997 | BIT1997，37，3： | 1 |
| 16 | A limited memory multipoint secant method for bound constrained optimization显示文摘 | Burdakov O Martfnez J M and Pilotta E A | 2002 | Annals of Operations Research2002，117，14： | 1 |
| 17 | Physiological changes in glucose differentially modulate the excitability of hypothalamic melanin-concentrating hormone and orexin neurons in situ显示文摘 | BURDAKOV D GERASIMENKO O VERKHRATSKY A | 2005 | The Journal of Neuroscience2005，25，9： | 1 |
| 18 | Physiological functions of glucose-inhibited neurones显示文摘 | Burdakov D González JA | | 0，，： | 1 |
| 19 | Metabolic state signalling through central hypocretin/orexin neurons显示文摘 | BURDAKOV D ALEXOPOULOS H | 2005 | Journal of Cellular and Molecular Medicine2005，9，4： | 1 |
| 20 | Polarity in intracellular calcium signaling显示文摘 | Petersen OH Burdakov D Tepikin AV | 1999 | Bioessays1999，21，10： | 1 |
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