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We introduced a random symmetric Gauss-Seidel (RSGS) method, which was designed to handle large scale linear least squares problems involving tall coefficient matrices. This RSGS method projected the approximate residual onto the subspace spanned by two symmetric columns at each iteration. These columns were sampled from the coefficient matrix based on an effective probability criterion. Our theoretical analysis indicated that RSGS converged when the coefficient matrix had full column rank. Furthermore, numerical experiments demonstrated that RSGS outperformed the baseline algorithms in terms of iteration steps and CPU time.

Background The high prevalence of multimorbidity among middle-aged and older adults has become a serious issue needing to be addressed by China's healthcare system. The number of chronic diseases is related to health service utilization and medical costs, but there is still a lack of relevant national surveys in China. Objective To understand the prevalence and features of multimorbidity and to examine its associations with health service utilization and medical costs among middle-aged and older Chinese adults. Methods Data were collected from the 2018 wave of China Health and Retirement Longitudinal Study (CHARLS) during April to October 2021, involving 16 674 Chinese adults (≥45 years old) . Multimorbidity was defined as the coexistence of two or more of the self-reported 14 chronic conditions. Health service utilization was measured using inpatient service utilization in the past year and outpatient service utilization in the past month. Medical costs were measured using total inpatient cost and out-of-pocket (OOP) cost for inpatient care in the past one year, total outpatient costs and OOP cost for outpatient care in the past one month. Logistic regression was used to estimate the association between the number of chronic diseases and health service utilization. Quantile regression was adopted to estimate the association between the number of chronic diseases and medical costs. Results Of all participants, 9 561 (57.34%) had multimorbidity. 2 624 (15.74%) had utilized inpatient services in the past year, and 2 588 (15.52%) used outpatient services in the past one month. Inpatient service utilization, outpatient service utilization, total inpatient cost, OOP cost for inpatient care, total outpatient cost, and OOP cost for outpatient care varied significantly by the number of chronic diseases (P

This paper examines the impact of income expectations and the extent to which these expectations are met, on subjective well‐being. For the Indonesian sample, expectations had asymmetric effects on well‐being, with pessimistic expectations having a strong adverse effect compared with a weak positive effect of optimism. Optimism improves only females' and not males' well‐being while pessimism has the reverse effect on both genders' well‐being. Although unmet expectations reduced well‐being for all subgroups, the mediating role of social capital to negate this was limited to some subgroups. Results point toward a gendered policy agenda and the rural–urban divide to improve well‐being. [ABSTRACT FROM AUTHOR]

Silicon-based anode materials are considered one of the highly promising anode materials due to their high theoretical energy density; however, problems such as volume effects and solid electrolyte interface film (SEI) instability limit the practical applications. Herein, silicon nanoparticles (SiNPs) are used as the nucleus and anatase titanium dioxide (TiO2) is used as the buffer layer to form a core-shell structure to adapt to the volume change of the silicon-based material and improve the overall interfacial stability of the electrode. In addition, silver nanowires (AgNWs) doping makes it possible to form a conductive network structure to improve the conductivity of the material. We used the core-shell structure SiNPs@TiO2/AgNWs composite as an anode material for high-efficiency Li-ion batteries. Compared with the pure SiNPs electrode, the SiNPs@TiO2/AgNWs electrode exhibits excellent electrochemical performance with a first discharge specific capacity of 3524.2 mAh·g−1 at a current density of 400 mA·g−1, which provides a new idea for the preparation of silicon-based anode materials for high-performance lithium-ion batteries. [ABSTRACT FROM AUTHOR]