如果μ=1，那么称为次线性收敛sublinear convergence，如果μ=0，那么称为超线性收敛superlinear convergence...
q=1,μ=0,{xk}Q-superlinear convergence. q=1,μ∈(0,1),{xk}Q-linear convergence. q=1,μ=1,{xk}Q-sublinear convergence. R-convergence (definition): limk→∞|xk−x¯|≤μk 其中{μk}是Q-convergence to zero. R代表root.
In this paper we show that Biggs' method retains the Q-superlinear convergence properties of the BFGS exhibited by Broyden, Denis, and More and by Powell. Our proofs show that near the solution of most problems, Biggs' method and the BFGS are essentially the same. We also establish ...
Superlinear (p(z), q(z))-equations. Complex Var Elliptic Equ, 2019, 64(1): 8–25 Article MathSciNet Google Scholar Papageorgiou N S, Vetro C, Vetro F. Multiple solutions for (p, 2)-equations at resonance. Discrete Contin Dyn Syst Ser S, 2019, 12(2): 347–374 MathSciNet MATH...
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Therefore we expect that when s < q, the equation is locally q-sublinear at zero and it has a sequence of solutions converging to zero; when p < r < p∗, the equation is locally p-superlinear at infinity and it has a sequence of solutions diverging to infinity. Indeed, applying all...
Superlinear Composition-Dependent Photocurrent in CVD-Grown Monolayer MoS2(1−x)Se2x Alloy Devices. Nano Lett. 2015, 15, 2612–2619. [Google Scholar] [CrossRef] [PubMed] Chen, Y.; Xi, J.; Dumcenco, D.O.; Liu, Z.; Suenaga, K.; Wang, D.; Shuai, Z.; Huang, Y.-S.; Xie,...
If 𝐶=0C=0, the method is said to have superlinear convergence, whereas 𝐶>0C>0 indicates sublinear convergence. If 𝐶=1C=1, the method exhibits linear convergence, and if 𝐶>1C>1, it is superlinearly convergent. The order of convergence provides a measure of how rapidly a ...
Global and superlinear convergence theorems of the proposed method are established. 3. 29kb 采用大变形刚塑性有限元法模拟超塑性材料轴对称锥形模约束胀形过程。 The constrained superplastic bulging process is investigated by a large rigid-plastic finite element method. 4. 34kb 为获取灵活的曲面编辑...
This paper discusses a model algorithm for composite nonsmooth optimization problems and proves that the algorithm holds global convergence and in the meantime the convergent rate is superlinear. 提出复合非光滑优化问题的一类算法,并证明这种算法保持全局收敛性且敛速达到超线性。 11. 38kb The influence ...