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The purpose of this paper is to propose an interpolation-based projection framework for model reduction of quadratic-bilinear systems. The approach constructs projection matrices from the bilinear part of the original quadratic-bilinear descriptor system and uses these matrices to project the original system.

The projection matrices are constructed by viewing the bilinear system as a linear parametric system, where the input associated with the bilinear part is treated as a parameter. The advantage of this approach is that the projection matrices can be constructed reliably by using an a posteriori error bound for linear parametric systems. The use of the error bound allows us to select a good choice of interpolation points and parameter samples for the construction of the projection matrices by using a greedy-type framework.

The results are compared with the standard quadratic-bilinear projection methods and it is observed that the approximations through the proposed method are comparable to the standard method but at a lower computational cost (offline time).

In addition to the proposed model order reduction framework, the authors extend the one-sided moment matching parametric model order reduction (PMOR) method to a two-sided method that doubles the number of moments matched in the PMOR method.

Considering the transition of communicational channels from physical to digital spaces, this study aims to provide a theoretical foundation for understanding engagement in electronic word of mouth (eWoM) among managers and customers in the hospitality and tourism industry.

This study uses the four aggregate dimensions, namely, performance expectancy, efforts expectancy, social influence and facilitations condition. Further, this paper uses the 14 second-order themes of the Unified Theory of Acceptance and Use of Technology with a data set that represents elements that can trigger eWoM, both from managers’ and customers’ perspectives. The process of data structuration follows thematic analysis and axial coding techniques.

The results of this study show that performance expectancy, facilitation conditions, social influence and effort expectancy all trigger positive eWoM generation in the hospitality and tourism industry indicating customers’ and managers’ perspectives.

This novel study provides a theoretical foundation and novel propositions for future research work on the role of novel antecedents that can trigger eWoM in the hospitality and tourism industry. This paper also provides a benchmark for practitioners and policymakers in their strategic decisions-making towards improving business performance through positive eWoM.

This article analyzes the moderating role of investment opportunities, business risk and agency costs in shaping the nexus between excess cash and corporate performance.

This research uses dynamic regression models (two-step system generalized method of moments) to analyze the data related to 200 Turkish companies listed on Borsa Istanbul (BIST) for the years between 2009 and 2020.

The findings indicate that when excess cash increases, the financial performance deteriorates only for firms with lower investments compared to firms with more investments. In addition, investment contributes to better financial performance for firms that hold cash surplus, whereas the influence of investment is insignificant for firms that have insufficient cash. Agency costs of equity exacerbate the adverse impact of excess cash on financial performance while agency costs of debt mitigate this effect. Excess cash reduces the financial performance of highly leveraged firms. However, this impact becomes insignificant when debt ratio decreases. The findings also show that investment has more significant role than business risk in building the precautionary motive to hold cash.

The findings of this article are limited to the Turkish market. Future research is still needed in other emerging markets to compare the results and reveal more about the effect of excess cash on firm performance, and how other factors can change this effect.

The findings verify the increased significance of excess cash in the presence of investment opportunities and difficulties in accessing external funds. Nevertheless, the role of the equity related agency problem in reducing the benefits of cash surplus confirms the necessity of policies that support corporate governance, especially in emerging markets.

This article, according to the knowledge of author, is the first to examine the role of agency costs associated with debt and equity, and the compound effect of investment opportunities and business risk on the nexus between excess internal funds and corporate financial performance in emerging markets.