排序方式: 共有4条查询结果,搜索用时 15 毫秒
1
1.
平移对称幂法(SS-HOPM)在求解源自玻色-爱因斯坦凝聚态的非线性特征值问题时,不仅具有较高的计算效率,而且具有点列收敛性,但其收敛率尚未得到有效估计.本文通过将多项式Kurdyka-Łojasiewicz(K-Ł)指数界的相关结果应用到所涉及优化问题的Lagrange函数上,得到了平移对称幂法的次线性收敛率估计,从理论上解释了平移对称幂法的计算效率. 相似文献
2.
Shifted symmetric higher-order power method (SS-HOPM) has been proved effective
in solving the nonlinear eigenvalue problem oriented from the Bose-Einstein Condensation
(BEC-like NEP for short) both theoretically and numerically. However, the convergence of
the sequence generated by SS-HOPM is based on the assumption that the real eigenpairs
of BEC-like NEP are finite. In this paper, we will establish the point-wise convergence via
Lojasiewicz inequality by introducing a new related sequence. 相似文献
3.
平移对称高阶幂法在求解源自玻色-爱因斯坦凝聚态的非线性特征值问题方面,不仅具有较高的计算效率,而且具有点列收敛性.针对此算法进行不动点分析,区分了使用平移对称高阶幂法可以求得的特征对类型. 相似文献
4.
In this paper,we propose a Rayleigh quotient iteration method (RQI)to calculate the Z-eigenpairs of the symmetric tensor,which can be viewed as a generalization of shifted symmetric higher-order power method (SS-HOPM).The convergence analysis and the fixed-point analysis of this algorithm are given.Nu-merical examples show that RQI needs fewer iterations than SS-HOPM while keep the amount of computation per iteration. 相似文献
1