On the Barzilai‐Borwein basic scheme in FFT‐based computational homogenization
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DOI: 10.1002/nme.6023
Abstract: Building upon the equivalence of the basic scheme in the work of Moulinec and Suquet with gradient descent methods, we investigate the effect of using the celebrated Barzilai‐Borwein step size selection technique in this context.… read more here.
Keywords: borwein basic; barzilai borwein; scheme; basic scheme ... See more keywords
A New Modified Barzilai–Borwein Gradient Method for the Quadratic Minimization Problem
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DOI: 10.1007/s10957-016-1008-9
Abstract: A new modified Barzilai–Borwein gradient method for solving the strictly convex quadratic minimization problem is proposed by properly changing the Barzilai–Borwein stepsize such that some certain multi-step quasi-Newton condition is satisfied. The global convergence is… read more here.
Keywords: modified barzilai; new modified; barzilai; borwein gradient ... See more keywords
Stable equilibrium configuration of two bar truss by an efficient nonmonotone global Barzilai–Borwein gradient method in a fuzzy environment
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DOI: 10.1007/s13370-016-0451-y
Abstract: The stable equilibrium configuration of structures is a main goal in structural optimization. This goal may be achieved through minimizing the potential energy function. In the real world, sometimes, the input data and parameters of… read more here.
Keywords: gradient method; fuzzy environment; barzilai borwein;