SOME IMPROVED PROJECTED QUASI-NEWTON ALGORITHMS AND THEIR CONVERGENCE Ⅱ.LOCAL CONVERGENCE RATE AND NUMERICAL TESTS

For the improved two-sided projected quasi-Newton algorithms, which were presented in PartI, we prove in this paper that they are locally one-step or two-step superlinearly convergent. Numerical tests are reported thereafter. Results by solving a set of typical problems selectedfrom literature have demonstrated the extreme importance of these modifications in making Nocedal& Overton's original methon practical. Furthermore, these results show that the improved algoritnmsare very competitive in comparison with some highly praised sequential quadratic programmingmethods.

Test for autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes

In this paper, we consider the problem of testing for an autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Levy processes. For a test, we propose a class of test statistics constructed by an iterated cumulative sums of squares of the difference between two adjacent observations. It is shown that each of the test statistics weakly converges to the supremum of the square of a Brownian bridge. The test statistics are evaluated by some empirical results.

Test of Deep Seismic Reflection Profiling across Central Uplift of Qiangtang Terrane in Tibetan Plateau

A test of deep seismic reflection profiling across the central uplift or metamorphic belt of the Qiangtang （羌塘） terrane, Tibet plateau, provides a first image of the crustal structure. Complex reflection patterns in the upper crust are interpreted as a series of folds and thrusts, and bivergent reflections in the lower crust may represent a convergence between the Indian and the Eurasian plates.

Research on the Linkage Effect and Coordinated Development Between Public Libraries Construction and Innovation Efficiency:Theoretical and Empirical Evidence from China

Based on the panel data of 29 provincial administrative regions in China from 2011 to 2022,this study uses the entropy weighting method and the global super-efficiency SBM model to evaluate and measure the public libraries construction level and innovation efficiency in China,uses the vector autoregression model,theαconvergence model and theβconvergence model to evaluate and test whether there is a positive linkage effect between public libraries construction and innovation efficiency,and uses the coupling coordination model to calculate and analyze the coupling coordination degree between public libraries construction and innovation efficiency.The results show that China’s public libraries construction and innovation efficiency are generally in a good development trend,but there is still a large gap from reaching a high level.There is a positive linkage effect between China’s public libraries construction and innovation efficiency,which can not only promote each other’s development,but also drive each other to achieve regional balanced development.The coupling coordination degree between China’s public libraries construction and innovation efficiency is showing a steady upward trend,but it is still on the verge of imbalance as a whole,and the eastern region is significantly better than the central region and western region.The results reveal the positive linkage effect between public libraries construction and innovation efficiency,which has enlightenment significance for building a strong country in culture and innovation.Based on this,this study puts forward suggestions on increasing investment in public libraries construction,optimizing the configuration structure of innovation factors,and strengthening the deep integration of public libraries construction and innovation activities,so as to give full play to the positive linkage effect between public libraries construction and innovation efficiency.

Assessment of accuracy of modal parameters of a rotor dynamic system using different types of finite elements

The main objective of this work is to check the compatibility of Finite element method(FEM)to determine the modal parameters of the rotor system and to compare the results with analytical method.Current work is an attempt to implement different finite element(FE)models for the estimation of modal parameters.Two different order elements from Beam,Axisymmetric and Solid FE models are considered.The analysis is carried out on the rotor system and the accuracy of the results and the computation time of the FE models are estimated.The FE results are compared with the analytical method.It is observed that FE model can be used to simulate even at higher order frequencies,which is a limitation of analytical model.The analysis shows that the FE results closely match with analytical method and also the study summarizes that proper choosing of FE helps in developing rotor models in both a desirable accuracy and efficiency.Finally,a Campbell diagram is generated using the analytical method and FEM.The critical speeds are also calculated from the Campbell diagram.The closeness of the results between the two methods is checked.