Search

Motivated by the works of Wang and Liu (Linear Algebra Appl 488:235–248, 2016) and Mosić (Results Math 75(2):1–21, 2020), we provide further results on GD inverses, and then introduce two new classes for square matrices called GD-star (generalized-Drazin-star) and GD-star-one (generalized-Drazin-star-one) using a GD inverse of a matrix. We exploit their various properties and characterize them in terms of various generalized inverses. We present a representation of a GD-star matrix by using the core-EP decomposition and Hartwig–Spindelböck decomposition. We also define a binary relation called GD-star order using this class of matrices. Further, we obtain some analogous results for the class of star-GD matrices. Moreover, the reverse-order law and forward-order law for GD inverse along with its monotonicity criteria are obtained. [ABSTRACT FROM AUTHOR]

Iterative methods based on matrix splittings are useful tools in solving real large sparse linear systems. In this aspect, the type I double splitting approaches are straight forward from the formulation of the iteration scheme and its convergence theory is well established in the literature. However, if a double splitting is of type II, then the convergence of the iteration scheme seems not to be straight forward. In this paper, we develop convergence theory for type II double splittings to make the implementation quite simple. In this direction, we first introduce two new subclasses of double splittings and establish their convergence theory. Using this theory, we prove a new characterization of a monotone matrix. Finally, we apply our theoretical findings to the double splitting of an M-matrix in the Gauss–Seidel double SOR method to obtain a comparison result. [ABSTRACT FROM AUTHOR]

Recently, Wang (2017) has introduced the K-nonnegative double splitting using the notion of matrices that leave a cone K ⊆ ℝn invariant and studied its convergence theory by generalizing the corresponding results for the nonnegative double splitting by Song and Song (2011). However, the convergence theory for K-weak regular and K-nonnegative double splittings of type II is not yet studied. In this article, we first introduce this class of splittings and then discuss the convergence theory for these sub-classes of matrices. We then obtain the comparison results for two double splittings of a K-monotone matrix. Most of these results are completely new even for K = ℝ + n . The convergence behavior is discussed by performing numerical experiments for different matrices derived from the discretized Poisson equation. [ABSTRACT FROM AUTHOR]

This study investigates the role of service fairness and service quality in the relationship between service convenience types (decision, access, transaction, benefit and post-benefit) and customer satisfaction. Results show that service convenience has a significant positive impact on service fairness. Both service fairness and service quality mediate the relationship between service convenience and customer satisfaction. This study provides useful insights to both researchers and practitioners on the role of service convenience in improving service fairness, service quality and customer satisfaction. Findings of this study contribute to the literature by empirically investigating the impact of service convenience types on service fairness, service quality and customer satisfaction; and by examining the mediating role of service fairness and service quality between convenience types and customer satisfaction. [ABSTRACT FROM PUBLISHER]

The structure and dimensionality of the trustworthiness construct are important theoretical and practical issues. Building on the work of Ennew and Sekhon and based on a sample of 625 respondents, this research identifies a six-factor structure of trustworthiness of service providers in the retail banking sector: customer orientation, integrity and honesty, communication and similarity, shared values, expertise, and ability and consistency. After assessing the reliability and validity of this factor structure, the study also compares the five alternative models of trustworthiness. Results indicated that the trustworthiness model with the six first-order factors has the best model fit. Higher order confirmatory factor analysis was used to identify three second-order trustworthiness factors, which are competency, openness, and benevolence. The various dimensions of trustworthiness are viewable as levers of improving a bank's trustworthiness in the minds of its current and potential customers. [ABSTRACT FROM AUTHOR]

The Indian automobile industry is one of the fastest growing automobile industries in the world. The low penetration level of cars in India coupled with rise in the disposable income of its working population has made it an attractive destination for global automobile manufacturers. This case deals with the mid-size car segment of the passenger car industry in India. In 2009-10, this segment accounted for approximately 12.7% of the total passenger cars manufactured in India and its Year-on-year (YoY) growth rate was approximately 15%. The major players in this segment include Tata Motors, Maruti Suzuki, Hyundai Motors India, Ford India, General Motors India, Honda Siel India, Mahindra-Renault and Hindustan Motors. In addition to the existing players, various new players like Volkswagen, Nissan, Fiat, etc., have either already entered in this segment or are about to enter. The case highlights various issues being faced by current as well as new entrants in this segment. The case provides exhaustive contemporary data on the mid-size car segment of the passenger car industry in India. Analysis of the case can be done using Porter's five forces model. [ABSTRACT FROM AUTHOR]

Purpose - The purpose of this study is to identify the underlying dimensions of trustworthiness of financial service providers in the Indian retail banking sector and to model trustworthiness as a set of second-order factors. The study replicates and extends the work of Ennew and Sekhon in the Indian context. Design/methodology/approach - Using the trustworthiness scale developed by Ennew and Sekhon this study identifies six first-order factors of trustworthiness for retail bankers in India using exploratory and confirmatory factor analysis. Then the study modeled trustworthiness as a set of three second-order factors using second-order confirmatory factor analysis. Findings - The first-order factors obtained for trustworthiness of retail bankers are customer orientation, integrity and honesty, communication and similarity, shared values, expertise, and ability and consistency. The second-order confirmatory factor analysis resulted in three higher order factors namely, competency, openness and benevolence. Practical implications - The various dimensions of trustworthiness should be viewed as levers for improving a bank's trustworthiness in the minds of its current customers. At the same time, these dimensions will help them in reflecting an image of trustworthiness in the minds of its potential customers. Establishment of trustworthiness as an element of corporate image will provide competitive advantage to the service firms and improve their financial performance. Originality/value - The research tests for the reliability and validity of the trustworthiness scale of Ennew and Sekhon. This study provides a window to the dimensions on which retail bank customers in an emerging economy such as India perceive a retail bank's trustworthiness. Furthermore, this study is an attempt to model trustworthiness as a set of second-order factors. [ABSTRACT FROM AUTHOR]