A preconditioned iterative method for solving systems of nonlinear equations having unknown multiplicity

A modification to an existing iterative method for computing zeros with unknown multiplicities of nonlinear equations or a system of nonlinear equations is presented. We introduce preconditioners to nonlinear equations or a system of nonlinear equations and their corresponding Jacobians. The inclusion of preconditioners provides numerical stability and accuracy. The different selection of preconditioner offers a family of iterative methods. We modified an existing method in a way that we do not alter its inherited quadratic convergence. Numerical simulations confirm the quadratic convergence of the preconditioned iterative method. The influence of preconditioners is clearly reflected in the numerically achieved accuracy of computed solutions.Peer ReviewedPostprint (published version

Load Balancing in Cloud Computing Empowered with Dynamic Divisible Load Scheduling Method

The need to process and dealing with a vast amount of data is increasing with the developing technology. One of the leading promising technology is Cloud Computing, enabling one to accomplish desired goals, leading to performance enhancement. Cloud Computing comes into play with the debate on the growing requirements of data capabilities and storage capacities. Not every organization has the financial resources, infrastructure & human capital, but Cloud Computing offers an affordable infrastructure based on availability, scalability, and cost-efficiency. The Cloud can provide services to clients on-demand, making it the most adapted system for virtual storage, but still, it has some issues not adequately addressed and resolved. One of those issues is that load balancing is a primary challenge, and it is required to balance the traffic on every peer adequately rather than overloading an individual node. This paper provides an intelligent workload management algorithm, which systematically balances traffic and homogeneously allocates the load on every node & prevents overloading, and increases the response time for maximum performance enhancement

Cost of Access to Justice and Exclusion in Pakistan: An Empirical Analysis

This paper examines the cost of access to justice and analyses whether such a cost is affordable by the average citizen of Pakistan. It is assumed that the foundation on which the current judicial system has evolved is unfair. It facilitates the rich and wealthy, while the poor are excluded as they cannot bear the cost of access to justice. The paper tests this assumption of accessibility due to cost presumption of exclusion empirically based on primary data collected from lawyers in the District Courts of Islamabad (Pakistan), together with data on the average income of representative individuals from the Household Integrated Economic Survey 2015-16 (PBS 2017). The paper shows the cost of access to justice in different types of cases across various types of courts in Islamabad, and then compares the cost with the average income per year of an ordinary citizen. It finds that the average cost of almost all types of cases is higher than what an average Pakistani can afford. The study notes that one of the reasons for this costly access to justice is because lawyers’ earnings are linked with the disputes on commercial basis. Hence, affordable access requires that judicial disputes between people should not become sources of earning for others and should be resolved with non-commercial objectives. The scope of this article is related to the following SDG / SDGs

A comparison of intrinsic and extrinsic compensation instruments: the case of National Bank Of Pakistan (NBP)

The paper aims to compare the compensation instruments which are used as the factors of motivation in the banking sector of Pakistan. With a case study research design, structured interviews were conducted from the fifty ( 5 0 ) employees of NBP branches in district Attock. The responses of interview were scaled and scored according to standardized Likert technique, in such a way that scores for each response were added and then multiplied with total responses. After obtaining scores of the nine compensation factors, Pearson Product correlation was calculated to check the relationship between the compensation factors. The results show that the employees of National Bank of Pakistan were motivated both by the intrinsic as well extrinsic factors of compensation, in such way that extrinsic factors were more causing motivation. The paper has concluded that Compensation Management has a profound direct positive relationship with employee motivation level and intrinsic factors played important role in the motivation process. The paper recommends that public sector banks shall apply progressive human resource strategy and provide healthy compensation plans regarding benefits and intrinsic factors

Evaluation of seismic demand for substandard reinforced concrete structures

Background: Reinforced Concrete (RC) buildings with no seismic design exhibit degrading behaviour under severe seismic loading due to non-ductile brittle failure modes. The seismic performance of such substandard structures can be predicted using existing capacity demand diagram methods through the idealization of the non-linear capacity curve of the degrading system, and its comparison with a reduced earthquake demand spectrum. Objective: Modern non-linear static methods for derivation of capacity curves incorporate idealization assumptions that are too simplistic and do not apply for sub-standard buildings. The conventional idealisation procedures cannot maintain the true strength degradation behaviour of such structures in the post-peak part, and thus may lead to significant errors in seismic performance prediction especially in the cases of brittle failure modes dominating the response. Method: In order to increase the accuracy of the prediction, an alternative idealisation procedure using equivalent elastic perfectly plastic systems is proposed herein that can be used in conjunction with any capacity demand diagram method. Results: Moreover, the performance of this improved equivalent linearization procedure in predicting the response of an RC frame is assessed herein. Conclusion: This improved idealization procedure has been proven to reduce the error in the seismic performance prediction as compared to seismic shaking table test results [1] and will be further investigated probabilistically herein

The Portrayal Of Women In Advertisements: A Critical Analysis Of The Role, Participation, And Empowerment

The study qualitatively explores several past and recent advertisements that have evolved, conflicting and defeating women's roles in society. The study further discusses how advertisements have accelerated the concept of 'emphasized femininity' (Patterson et al., 2009) through the inevitable maledominated population discussed by Brule (2020). It contributes to an ever-expanding challenge of gender disparity, stereotyping women and docile responsibilities, thereby propagating inequalities through the digital and printed advertising world. The objective of the research is to purposely select regular advertisements and their symbolic representation that might have promoted women's engagement, their struggle, either responsible for identity stagnation or an expansive identity. The paper has strategically reviewed popular content that uncovers to transform societal myth and women objectification in restoring their equal natural existence. The study concludes the usage and abuses of advertisement concordant to inter-disciplinary inquiry into the laws, policies, and sociopolitical activities within a democratic state