计算Householder变换之行列式的六种解法

本文探讨Householder变换之行列式的几种解法.目的是提高学生综合运用线性代数知识的能力,培养学生灵活掌握并融会贯通整个线性代数知识点的能力.

Attributes of Specialized Households'Resilience and Its Impact on Rural Industrial Advancement:A Case Study of National Musical Instrument Production Specialized Households in Lankao County,Henan,China

Specialized households serve as the primary units within specialized villages in China,and their capacity to withstand risks and external influences significantly shapes the future trajectory of specialized villages and the overall vitality of the rural economy.In this study,we established a measurement indicator system based on the definition of specialized households’resilience,elucidating the logical connection between specialized households’resilience and rural industrial development in China.The musical instrument industry in Lankao County,Henan Province of China,was employed as a case;survey data,the entropy method,and an obstacle diagnosis model were used to examine how instrument production specialized households responded to the challenges posed by Corona Virus Disease 2019(COVID-19)and the tightening of national environmental protection policies,yielding the following key findings:1)there exists substantial variation in the comprehensive resilience levels among different specialized households;2)the ability to learn and adapt is the most significant contributor to the overall resilience level of specialized households;3)technological proficiency and access to skilled talent emerge as pivotal factors influencing specialized households’resilience;4)the positioning of specialized households within the industrial supply chain and the stability of their income have a direct bearing on their resilience level.The influence of specialized households’resilience on industrial development primarily manifests in the following ways:stronger resilience correlates with increased stability in production and sales,fostering a more proactive approach to future actions.However,heightened exposure to the external macroeconomic environment can lead to a higher rate of export reduction.To enhance the development resilience of entities like specialized households and family farms,and to invigorate rural economic development,escalating investments in rural science and technology and prioritizing the training of technical talent become imperative.

Assessement of Nutritional Status of Households Using Weighed Food Intake in North West Region of Cameroon

This study determined the nutritional status of households in North western region of Cameroon using weighed food intake. Twenty–two rural and 106 urban households were randomly selected for weighed food intake Descriptive and inferential statistics were used to analyze collected data and significance at p < 0.05 accepted. Corn fufu with huckleberry was the most frequently consumed meal with little or no animal-source protein. Protein and B group vitamins intake of respondents in both communities were below the FAO/WHO recommended values while energy, iron, and vitamins A and C were in excess for most age groups. Adolescents 10 - 19 years and adults 20 years and above failed to meet at least 85% of RNI for calcium.

Economic Stress, Precariousness and Risk of High Blood Pressure: A Descriptive Survey of Life Models within Households of the Central Region of Cameroon

Context/Objective: High blood pressure (HBP) currently represents the most widespread chronic non-communicable disease in Cameroon. The increase in its prevalence in the country is the result of multiple factors including economic stress imposed by precariousness, poor living conditions, sources of anxiety, anguish, depression and other behavioral disorders. Economic stress is a globalizing concept that integrates into a purely hermeneutic approach, a particular functioning of the nervous system of an individual who faces employment problems and precarious remuneration conditions. The non-satisfaction by an individual of his basic needs due to insufficient financial means can cause him to become irritable, aggressive, and socially and symbolically isolated, thereby increasing the desire to resort to morbid life models such as excessive consumption of narcotics and other psychoactive substances often associated with high blood pressure. The fight against the emergence of BPH is a complex, multifaceted and multifactorial reality that requires taking into account economic stress. The main objective of this survey is to describe the situation of economic stress within the Cameroonian population, which imposes precariousness and life models at risk of high blood pressure. Specifically, we determined the level of household income and the sources of income. Methods: A cross-sectional survey with a descriptive aim among five hundred households in the Central Region of Cameroon was conducted. A probabilistic technique called simple randomness was used. The number of households to be surveyed was determined indirectly using the Cochrane formula. Data collection in face-to-face mode using a physical questionnaire took place from July 1 to August 31, 2023, after obtaining ethical clearance from the Regional Health Research Ethics Committee, Human from the Center and an administrative authorization for data collection. Regarding their processing, the data was grouped during processing in Excel sheets. Normality and reliability tests of the collected data were carried out. For this, the Chi-square test was used for data with a qualitative value and that of Kolmogorov-Sminorf for data with a quantitative value. Descriptive analysis was possible using R software version 3.2, SPSS version 25.0, XLSTAT 2016, PAST and EXCEL programs from Microsoft Office 2013. Results: The main results highlight economic stress, with 45.60% of households surveyed earning less than US$154 per month;55% of household heads were women in single-parent families;14% of household heads were unemployed, 22% worked in the private sector and 19% were self-employed. This general economic situation leads to precarious living conditions, thereby increasing the risk of high blood pressure among the Cameroonian population.

Short-Term Household Load Forecasting Based on Attention Mechanism and CNN-ICPSO-LSTM

Accurate load forecasting forms a crucial foundation for implementing household demand response plans andoptimizing load scheduling. When dealing with short-term load data characterized by substantial fluctuations,a single prediction model is hard to capture temporal features effectively, resulting in diminished predictionaccuracy. In this study, a hybrid deep learning framework that integrates attention mechanism, convolution neuralnetwork (CNN), improved chaotic particle swarm optimization (ICPSO), and long short-term memory (LSTM), isproposed for short-term household load forecasting. Firstly, the CNN model is employed to extract features fromthe original data, enhancing the quality of data features. Subsequently, the moving average method is used for datapreprocessing, followed by the application of the LSTM network to predict the processed data. Moreover, the ICPSOalgorithm is introduced to optimize the parameters of LSTM, aimed at boosting the model’s running speed andaccuracy. Finally, the attention mechanism is employed to optimize the output value of LSTM, effectively addressinginformation loss in LSTM induced by lengthy sequences and further elevating prediction accuracy. According tothe numerical analysis, the accuracy and effectiveness of the proposed hybrid model have been verified. It canexplore data features adeptly, achieving superior prediction accuracy compared to other forecasting methods forthe household load exhibiting significant fluctuations across different seasons.

A study on the influencing factors of rural tourism promoting households'shared prosperity in Yinan County of Shandong Province

This study examines the influencing factors of rural tourism in promoting shared prosperity among households,using the case study of Yinan County in Shandong province,China.The research aims to provide insights into the economic benefits experienced by low-income households in the context of rural tourism development.Based on field research conducted from April 8,2023,to May 17,2023,including interviews and site visits,the study constructs an evaluation index system to assess the influencing factors.Through expert scoring and the application of a weighted set-valued mathematical statistical model,the importance and quantification of each factor are determined.The results indicate that the current stage of promoting shared prosperity through rural tourism in Yinan County is primarily influenced by the scale of tourist consumption of external visitors.This factor outweighs others such as the participation capacity and willingness of low-income households,the capacity of investment enterprises,and the policies and financial allocation of the local government.The findings emphasize the significance of external visitor spending and highlight the need to address the obstacles faced by low-income households in accessing economic benefits.The evaluation index system and measurement model presented in this study offer a scientific basis for assessing and improving the income situation of low-income households in rural tourism development initiatives.However,it is crucial to note that the importance of these influencing factors may evolve with the lifecycle of the tourism destination.Future research should include long-term tracking and consider a broader range of indicators to deepen our understanding of their mechanisms and significance.Furthermore,alternative approaches and theories may provide valuable perspectives for further exploration in this field.

Economic Resilience in Bangladesh: Analyzing Household Well-Being amidst Price Hikes through ANOVA and Paired Sample t-Test Insights

This study delves into the multifaceted impact of price hikes on the standard of living in Bangladesh, with a specific focus on distinct socioeconomic segments. Amidst Bangladesh’s economic growth, the challenges of rising inflation and increased living costs have become pressing concerns. Employing a mixed-methods approach combines quantitative data from a structured survey with qualitative insights from in-depth interviews and focused group discussions to analyze the repercussions of price hikes. Stratified random sampling ensures representation across affluent, middle-class, and economically disadvantaged groups. Utilizing data [1] from 2020 to November 2023 on the yearly change in retail prices of essential commodities, analysis reveals significant demographic shifts, occupational changes, and altered asset ownership patterns among households. The vulnerable population, including daily wage laborers and low-income individuals, is disproportionately affected by adjustments in consumption, income generation, and living arrangements. Statistical analyses, including One-Way ANOVA and Paired Sample t-tests, illuminate significant mean differences in strategies employed during price hikes. Despite challenges, the prioritization of education remains evident, emphasizing its resilience in the face of economic hardships. The result shows that price hikes, especially in essential items, lead to substantial adjustments in living costs, with items like onions, garlic, and ginger experiencing significant increases of 275%, 108%, and 483%, respectively.

Study of the Management and Disposal Practices of Unused or Out-of-Date Medicines by Households in the Municipality of Ouagadougou, Burkina Faso

Introduction: Not all medicines that pass-through consumers’ hands are used, and some often expire in households. These health products can be sources of accidental risks and pollution when they are not properly disposed of. In Burkina Faso, there are as yet no guidelines for the disposal of unused medicines in households. The aim of this study was to estimate the extent of household possession of unused or expired medicines, and to describe attitudes and disposal practices. Methods: This was a descriptive cross-sectional study covering households in the Ouagadougou commune conducted from June to August 2021. Two-stage stratified sampling was used: selection of Enumeration Zones (EZs) and selection of households, with each EZ comprising several households. Data collection was based on direct interviews using a structured questionnaire. Data were processed using Epi Info software version 7.2.4.0. Results: In total, 417 household residents were surveyed out of the planned 423 households, corresponding to a completion rate of 98.58% compared with the initial sample. Among the respondents, 79.62% had unused and/or expired medicines in their household. A total of 2562 drug packaging units were counted, for a total weight of 121.90 kg. Nearly 75% were aware that improper disposal was a danger to the environment. Some respondents kept their unused medicines at home until they expired (43.41%), and disposed of them mainly by throwing them in the household garbage (75.58%). The majority (79%) were in favor of the government setting up a take-back program for these medicines. Conclusion: The introduction of a take-back program for unused or out-of-date medicines will ensure safer disposal of medicines, and better protection for households and the environment.

Practical Research on Promoting the Reform of“One Field for One Household”in Guoyang County

In recent years,the problem of farmland fragmentation has become a major obstacle to the development of modern agriculture,and the reform of“one field for one household”can effectively sort out cultivated land resources,increase contracted land area,improve land utilization rate,and effectively solve the problems of contracted land dispersion and farmland fragmentation in rural areas.This paper systematically anatomized the practice and effects of“one household,one field”reform in Guoyang County,analyzed the problems existing in the implementation process,and put forward corresponding suggestions and countermeasures,in order to provide experience and reference for the reform of one field in other regions.

Analysis on the Impact of Cattle Fattening Technology on Farmer Households in Atabae Timor-Leste

Agriculture is one of the priority sectors in Timor-Leste. Introducing new agriculture technology is crucial to enhance agricultural production. Practicing cattle fattening can increase beef cattle body weight and generate income to the beef cattle farmers. As farmers face problems including agricultural production decline, lack of forages and information and weather unfavourable. The study’s purpose was to examine the impact of adoption of cattle fattening technology on farmer households in Atabae administrative post, Bobonaro municipality in Timor-Leste. There were 200 beef cattle farmers households where randomly selected in four villages in Atabae. It consisted of 65 farmers practicing cattle fattening and 135 farmers non-practicing cattle fattening. Face to face interviews used structured questionnaire. Statistical analysis such as t-test and descriptive analysis were used to examine impact adoption of cattle fattening technology by farmers and factor constraints of cattle production and the solutions of it. The results indicated the average value of cattle and profit were significant different from zero and it is associated with practicing of cattle fattening. The average of labour used on cattle activities, the average of cattle sold, and total cost spent on cattle were not significant different from zero. The percentage of farmers said that factors constraints cattle production were shortage of water and forage (53%) and spend time on culture ceremony and lack of capital (33%). The number of farmers said that they collected water from river, feed cattle with sago and forage (55.3%) and cultivated forage (23.4%). This finding contributes information to the farmers, traders, and Timorese government to continue implementing cattle fattening activities as it enhances farmers’ income and developing cattle production.

Comparative Study on Energy Consumption Structure of Ordinary Rural Households and Rural Tourism Households in Zhejiang Province, China

With the rapid development of rural tourism in China, more and more rural households operate a rural tourism business. The purpose of this study is to understand the energy consumption characteristic of ordinary rural households (ORHs) and rural tourism households (RTHs) in the mountainous area and islands area in Zhejiang province. 225 households were surveyed, including 185 ORHs and 40 RTHs, based on a field survey in Quzhou (mountainous area) and Zhoushan (islands area). Results reveal that energy consumption of ORHs is low, but energy comsumption of RTHs is high, about 3 to 5 times higher than that of ORHs. Given the results, the government and RTHs should pay more attention to take measures to reduce energy comsumption. Meanwhile, the factors affecting households’ energy consumption are also analyzed. Energy consumption of ORHs is affected by frequently used area, family income level and permanent population. Then energy consumption of RTHs is mainly related to the total building area, number of air conditioner (AC), number of guestrooms and family income level.

Financial decision‑making behaviors of Ethnic Tibetan Households based on mental accounting

Ethnic Tibetans(ETs)typically reside in the remote plateaus of China and possess strong cultural and spiritual values.Their financial decision-making is influenced by economic and physical factors,unique culture,social norms,and psychological motivators.We conducted an in-person survey of 480 randomly selected ET households across four provinces in rural China.The survey data was analyzed using three different econometric models—probit,ordered probit,and ranked ordered logit—to examine the choice of borrowing from formal or informal credit sources,the number of sources borrowed from,and repayment priority.Our findings indicate that mental accounting plays a significant role in the financial decision-making process of ET households.Additionally,we find that the informal credit source is strongly associated with the financial decisions of ET households.The majority of loans from formal financial institutions are used to meet daily needs,as opposed to purchasing productive inputs.Our results also suggest that strong social relationships and religious beliefs prevent households from defaulting,and that loans from formal financial sources receive repayment priority.China would benefit from promoting inclusive finance and encouraging the adoption of improved agricultural practices to support the prosperity of ET and other minority communities.

Prevalence and Predictors of Double Burden of Malnutrition within Households in Africa: A Systematic Review

In recent years, there has been growing interest in the emergence of double burden of malnutrition (DBM) in Africa. In this study, we reviewed the literature on double burden of malnutrition in households, reviewing previous studies investigating the prevalence of DBM in Africa and the factors associated with it. To identify relevant studies, we consulted the PubMed and Cochrane electronic databases, using specific search terms. A total of seventeen articles met the eligibility criteria. These articles were published between 2012 and 2022, and their data were collected between 2000 and 2019. Twelve of these studies used secondary data, including demographic and health surveys. The age of children and adults varied from study to study. All studies used Body Mass Index as a nutritional indicator for adults. For children, the height-for-age Z-score was most commonly used, while weight-for-age, weight-for-height and Body Mass Index-for-age were less commonly used. The national prevalence of double nutritional burden in households ranged from 1.71% to 38.7%, depending on the country and the year. However, direct comparisons between studies were limited due to differences in combinations of undernutrition, overweight or obesity. Among the factors associated with double nutritional burden within households, the most frequently cited in the selected articles were urban/rural residence, income or socioeconomic status, age of child and mother, household size and mother’s level of education. However, no study assessed physical activity, and very few examined the diet of household members. It is essential to take these different parameters into account when designing and implementing interventions to prevent the DBM in Africa. Community and societal factors will also need to be studied and taken into account in these interventions.

Household Survey on Access to Medicines Used for the Treatment of Diarrhoea in Musoma Municipal Council, Tanzania

Background: Access to medicines is part of the human right to health. According to WHO, access to medicine is measured by how easily households obtain medicines for acute and chronic conditions including diarrhoea through household surveys. Diarrhoea is among the top ten leading causes of death. Anti-diarrhoea medicines save lives but, should be available and obtainable to do so. The objectives of this study were to determine anti-diarrhoea medicines used by households, their sources and factors affecting their accessibility in Musoma Municipal. Methods: A cross-section survey was conducted in Musoma Municipal Council, Mara, Tanzania. The lottery method of simple random sampling was used to select three wards and pick three streets from each ward. The study population was 255 household heads from households selected by systematic random sampling from each street. A structured questionnaire was used to obtain information from household heads. Results and Discussion: Males (51.8%) had more diarrhoea illnesses than females (48.2%). Distinctive household heads (52.6%) had primary education. The majority, (79.1%) of all diarrhoea patients were recommended/prescribed anti-diarrhoea medicines. Of those whom anti-diarrhoea medicines were prescribed/recommended, 63.5% adhered to the prescriber’s/dispenser’s instructions and obtained and used anti-diarrhoea medicines. The most frequent source of anti-diarrhoea medicines was ADDO (38%). Widely used anti-diarrhoea medicines were antimicrobials (77.5%) followed by ORS (17.5%). Reasons not to seek or obtain anti-diarrhoea medicines were;Patient started feeling better (56.3%), Alternative treatment (26%), Financial reasons (10%), Decided medicines weren’t needed (3.5%), Distance from source (2.2%), Reactions to medicine (1%). Utilization of primary health care services was only 21.5%. Under-fives were mostly prescribed with antimicrobials (62.5%) than ORS (31.2%) and Zinc (6.3%) in mild to moderate dehydration contrary to Standard treatment guidelines (STG) in Tanzania. Conclusion: Anti-diarrhoea medicines are moderately easily obtainable in Musoma Municipal (50% of all diarrhoea patients obtained medicines). Alternative treatment (26%) and financial reasons (10%) were vivid factors hindering access. Treatment of diarrhoea in under-five years old is not adhered to in Musoma Municipal (use of 62.5% of antimicrobials and only 31.2% of ORS in mild diarrhoea cases).

Gender Perspectives of Vulnerability to Climate Change: A Descriptive Evidence from Farming Households at Ikpayongo Community in Gwer Lga, Benue State, Nigeria

Climate change impact and risks on agricultural livelihood affect women and men disproportionately and often to the disadvantage of women and girls. Consequently, this study assessed gender perspectives of vulnerability to climate change of farming households at Ikpayongo community in Gwer local government area, Benue State, Nigeria using descriptive approach. The study identified a total of 120 male-headed and female-headed farming households across four neighbourhoods and administered structured questionnaire on them using simple random sampling method, while data analysis was done using descriptive statistics. The results indicate lower education and income status among female-headed households, though male-headed households have high household size. Both sexes have relatively equal access to land for farming, however men have large farm size compared to women. The major crops cultivated by men were rice and yam, while women cultivated largely groundnut and cassava. Women are more exposed and sensitive to climate-related hazards such as floods and heat stress due to the location of their farms. The result further shows that males possess better adaptive capacity given their higher incomes, social networks and more access to training/capacity building programmes and credit facilities. The study concludes that female-headed farming households are more vulnerable to climate change and variability than male-headed farming households due to higher exposure and a lower adaptive capacity. Programme and policies to improve women access to credit facilities and relevant training to boost their adaptive capacity and build resilience are highly recommended. This would also limit exposure with attendant reduction in vulnerability.

Spatial and temporal heterogeneity of the impact of per capita income on household indirect carbon emissions in western China

With China entering the stage of high-quality development,the issue of carbon emission has become a hot research topic.This paper analyzes the different temporal and spatial effects of per capita income on household indirect carbon emissions in western China.Based on the data of Chinese Family Panel Studies(CFPS)in 2016 and 2018 in the western China,this paper uses Regression analysis and Bayesian correlation analysis to study the relationship between per capita income and household indirect carbon emissions.The results showed that the indirect carbon emissions generated by the expenditure on food,housing and household equipment in the household consumption structure in the western China were relatively high.In 2016-2018,the per capita income and per capita household consumption indirect carbon emissions in the western China showed an increasing trend.There was a positive correlation between per capita income and indirect carbon emissions of per capita household consumption,and its correlation was gradually enhanced in time dimension.In the spatial dimension,the household indirect carbon emissions in Yunnan,Qinghai,Guangxi Zhuang and Ningxia in the western China were greatly affected by per capita income,while the household indirect carbon emissions in Guizhou was least affected by per capita income.Finally,the paper puts forward some problems that we should consider in the process of facing the per capita income growth and climate change:the collection of carbon tax,the optimization of household consumption structure,the research and development of low-carbon products,and the differentiated carbon reduction.

The Rural Households in the Process of Rapid Urbanization:Unwilling to Move,Floating and Migratory

I divide the rural households into three types:the rural households unwilling to move;the floating rural households;the migratory rural households.Through questionnaire survey of the married housewives in Anhui Province and Zhejiang Province,I conduct comparative analysis of income and expenditure,change in the status of family members,the couple's housework time,the wives' will to settle in the city and attitude towards life,related to these three types of rural households.Results show that promoting wives' educational level and monthly family income will significantly make the wives in households unwilling to move,have stronger desire to make their children settle in the city;the housework time of the wives in the floating households is 3.4 times that of their husbands,the monthly income of the husbands in the floating households is significantly lower than that of the husbands in the migratory households,with heavy family burden assessed by themselves;the age of the wives in the migratory households is the smallest,and the educational level and income of them are the highest,but the monthly expenditure has not yet significantly expanded,and at the same time,the migratory households have the weakest desire to settle in the city.The recommendations concerning these three types of rural households are put forward as follows:promoting the skills of the members in the households unwilling to move,in agricultural cultivation,development of agricultural products and circulation of agricultural products;paying close attention to the floating rural households;promoting the government,enterprise,households to work together to stabilize the migratory households.

一种采用Householder变换递归实现的复矩阵QR分解算法

QR分解可以改善矩阵条件数,从而提高数值稳定性。由于传统的基于Householder变换的QR分解算法无法有效处理复数矩阵,限制了它的进一步应用。本文提出了一种复数形式的QR分解算法,该算法通过对传统算法进行修改,采用Householder变换递归实现了复矩阵的QR分解,修正后的算法公式可以有效处理复数信号,同时保持了实矩阵QR分解算法的良好性能。新的算法公式对于各种采用QR分解的应用均具有重要意义。通过对其在最小二乘问题中的应用进行仿真,验证了算法在复信号环境下的性能。

Householder干扰阻塞法的弱信号DOA估计

在强干扰来波方向已知或可准确估计的情况下,一维微弱信号的DOA估计通常采用干扰阻塞的方法,当采用二维阵型时,该方法阻塞矩阵构建形式随阵型发生变化,且其阻塞输出信号需进行预白化处理,因此计算复杂度较高。提出一种基于Householder变换的干扰阻塞法,该方法可有效阻塞强干扰获得微弱信号DOA信息,阻塞矩阵构建形式固定,不随阵型发生变化,无需预白化处理,因此具有计算复杂度较低、精度较高的特点。

基于Householder方法的子域精细积分

有限元法生成的矩阵通常具有尺度和带宽很大的特点,应用子域精细积分面临着选择子域的困难。本文采用Householder方法将矩阵三对角化,从而使子域精细积分可用于大型有限元系统。通过在子域精细积分中引入预估-校正格式,可以在不需要迭代的情况下得到比蛙跳格式更高的精度。