It turns out to be a challenging task to perform structural analysis utilizing the Hasofer-Lind and Rackwitz-Flessler (HL-RF) algorithm of the first order reliability method (FORM) due to its nonconvergence ori
org/impering-bor wein-algorithm in-Java/Borwein 的算法是 Jonathan 和 Peter Borwein 为计算 1/π的估计而设计的计算。他们构思了一些不同的算法。然而,以下在 Java 中用四次汇编实现 Borwein 算法实际上确定了 Pi,收敛速度过快。原则上,a 将四次幂合并到 1/π。每强调一次,正确数字的数量就这样翻了两番...
最后，介绍了负梯度算法在深度学习中的应用。 关键词 Barzilai-Borwein 型算法，负梯度算法，初始步长，算法的应用 Discussion on Barzilai-Borwein Algorithm Ya’nan Huang School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha Hunan Received: Mar. 26th , 2022; accepted:...
To adapt the algorithm for solving saddle point problems, we also extend the R -linear convergence result to the case when the right-hand term k is replaced by k -1. Although our theoretical analyses cannot provide a good estimate to the parameter , in practice, we find that can be as ...
time, the convergence o the algorithm is maintained. The modi ed algorithm is III also suitable or large scale problems. Numerical results show that these correc- tions are reasonable and efective. During this period, we also uni ed most o the existing improvements to the quasi-Newton equatio...
In this section, we describe our MB-SARAH-RSBB method (Algorithm 1), which equips the MB-SARAH method with the ability to obtain online step size by using the RSBB method. Unlike the work in De et al. (2017), Tan et al. (2016) and Yang, Wang, Zang et al. (2018), Yang, Wan...
proved to be a symmetric block-Toeplitz-Toeplitz-block matrix (BTTB). Next ，assuming that the coefficient matrix is positive definite ，the BB method is used to solve the equations of downward continuation ，and the iterative step is limited to ensure the convergence of the algorithm. ...
The Barzilai and Borwein gradient method does not ensure descent in the objective function at each iteration, but performs better than the classical steepest descent method in practical computations. Combined with the technique of nonmonotone line search etc., such a method has found successful applica...
Abstract In this paper, based on the alternating nonnegative least squares framework, we present a new efficient method for nonnegative matrix factorization that uses a quadratic regularization projected Barzilai–Borwein (QRPBB) method to solve the subproblems. At each iteration, the QRPBB method fi...
using the built-in PSLQ algorithm 132 U. Kortenkamp et al. 2 Experimental mathematics: From the mathematics laboratory to mathematics classrooms The idea of mathematics laboratories for learning mathematics is not new (Maschietto & Trouche, 2010), but the integration of powerful computation tools...