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Article
Publication date: 7 October 2013

H. Saberi Najafi and S.A. Edalatpanah

– The purpose of this paper is to present the efficient iterative methods for solving linear complementarity problems (LCP), using a class of pre-conditioners.

Abstract

Purpose

The purpose of this paper is to present the efficient iterative methods for solving linear complementarity problems (LCP), using a class of pre-conditioners.

Design/methodology/approach

By using the concept of solving the fixed-point system of equations associated to the LCP, pre-conditioning techniques and Krylov subspace methods the authors design some projected methods to solve LCP. Furthermore, within the computational framework, some models of pre-conditioners candidates are investigated and evaluated.

Findings

The proposed algorithms have a simple and graceful structure and can be applied to other complementarity problems. Asymptotic convergence of the sequence generated by the method to the unique solution of LCP is proved, along with a result regarding the convergence rate of the pre-conditioned methods. Finally, a computational comparison of the standard methods against pre-conditioned methods based on Example 1 is presented which illustrate the merits of simplicity, power and effectiveness of the proposed algorithms.

Research limitations/implications

Comparison between the authors' methods and other similar methods for the studied problem shows a remarkable agreement and reveals that their models are superior in point of view rate of convergence and computing efficiency.

Originality/value

For solving LCP more attention has recently been paid on a class of iterative methods called the matrix-splitting such as AOR, MAOR, GAOR, SSOR, etc. But up to now, no paper has discussed the effect of pre-conditioning technique for matrix-splitting methods in LCP. So, this paper is planning to fill in this gap and the authors use a class of pre-conditioners with iterative methods and analyze the convergence of these methods for LCP.

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Details

Handbook of Transport Geography and Spatial Systems
Type: Book
ISBN: 978-1-615-83253-8

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Article
Publication date: 2 December 2020

Tran Ngoc Tam, Nguyen Minh Hai and Bantaojai Thanatporn

The purpose of this paper is to study the Hölder calmness of solutions to equilibrium problems and apply it to economics.

Abstract

Purpose

The purpose of this paper is to study the Hölder calmness of solutions to equilibrium problems and apply it to economics.

Design/methodology/approach

The authors obtain the Hölder calmness by using an effective approach. More precisely, under the key assumption of strong convexity, sufficient conditions for the Hölder continuity of solution maps to equilibrium problems are established.

Findings

A new result in stability analysis for equilibrium problems and applications in economics is archived.

Originality/value

The authors confirm that the paper has not been published previously, is not under consideration for publication elsewhere and is not being simultaneously submitted elsewhere.

Details

Asian Journal of Economics and Banking, vol. 4 no. 3
Type: Research Article
ISSN: 2615-9821

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Article
Publication date: 1 October 2008

Elena Bonel, Paolo Pellizzari and Elena Rocco

The concept of coopetition is founded on the complementarity‐based nature of this strategy. However, coopetition research has devoted relatively little attention to…

Abstract

The concept of coopetition is founded on the complementarity‐based nature of this strategy. However, coopetition research has devoted relatively little attention to complementarity issues and their impact on coopetition results. By bridging the coopetition and economics of complementarities research fields, we develop a model representing a classical optimization problem in complementarities as applied to coopetition in order to evaluate potential risks deriving at an operational level from implementing a coopetition strategy. The model we develop is a situated one and is based on empirical data from a longitudinal case study of coopetition in the mineral water and soft drinks industry. The results highlight a potential risk of coopetition strategies – namely, thresholds effects – as well as the associated risks a wrong understanding of complementarities in a coopetition setting may entail.

Details

Management Research: Journal of the Iberoamerican Academy of Management, vol. 6 no. 3
Type: Research Article
ISSN: 1536-5433

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Article
Publication date: 1 April 2008

S. Ebrahimi and P. Eberhard

This paper extends the linear complementarity problem formulation of [7] and [8] for normal impact of planar deformable bodies in multibody systems. In the kinematics of…

Abstract

This paper extends the linear complementarity problem formulation of [7] and [8] for normal impact of planar deformable bodies in multibody systems. In the kinematics of impact we consider the normal gaps between the impacting bodies in terms of the generalized coordinates. Then, the generalized coordinate’s vector is formulated in terms of the impact forces using the 5th order implicit Runge‐Kutta approach RADAU5. Substituting the generalized coordinates in the relation of normal gaps together with the complementarity relations of unilateral contact constraints leads to a linear complementarity problem where its solution results in the solution of the impact problem including impact forces and normal gaps. Then, alternatively another formulation on velocity level based on the 4th order explicit Runge‐Kutta is presented. In the presented approach no coefficient of restitution is used for treatment of energy loss during impact and, instead, the material damping is responsible for energy loss. A good agreement between the results of our approach with the results of FEM for soft planar deformable bodies was shown in [7]. Here, we improve the results for stiff planar deformable bodies and show that with a proper selection of eigenmodes, the results on both position and velocity level approach the precise results of FEM provided that an optimal time step of the integration is chosen. We also investigate the effect of considering material damping and some higher eigenfrequencies on the amount of energy which is dissipated during impact based on our approach.

Details

Multidiscipline Modeling in Materials and Structures, vol. 4 no. 4
Type: Research Article
ISSN: 1573-6105

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Book part
Publication date: 25 April 2013

Gregory Jackson and Na Ni

The growing literature on complementarities has drawn attention to how the effects of different organizational structures, practices, and institutions are interdependent…

Abstract

The growing literature on complementarities has drawn attention to how the effects of different organizational structures, practices, and institutions are interdependent. Rather than one best way of organizing, complementarities suggest that the effectiveness of one organizational element may be dependent on the presence or absence of another particular element. Consequently, organizational arrangements often display “multiple equilibria” or what is known as equifinality, whereby multiple pathways may lead to the same or similar outcomes. While being a source of theoretical innovation, the configurational nature of complementarities has posed a number of challenges. This chapter reviews the emerging literature on complementarities to identify a series of conceptual challenges related to understanding complementarities as organizational configurations, and examines the methodological challenges in studying how such elements combine to produce joint effects on performance. The chapter argues that new set-theoretic methods using Qualitative Comparative Analysis (QCA) may present a very useful methodological alternative to studying complementarities. The chapter illustrates this potential by re-analyzing past work by Aoki, Jackson, and Miyajima (2007) on relationships between ownership structure, board structure, and employment practices of listed firms in Japan to show evidence of complementarities associated with hybrid configurations that combine market and relational forms of organization.

Details

Configurational Theory and Methods in Organizational Research
Type: Book
ISBN: 978-1-78190-778-8

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Article
Publication date: 28 June 2013

Masudul Alam Choudhury and Mostaq M. Hossain

Learning field of events is characterized by the occurrenceof random and uncertain phenomena, all of which have probabilistic distributions. The meaning of learning is…

Abstract

Purpose

Learning field of events is characterized by the occurrenceof random and uncertain phenomena, all of which have probabilistic distributions. The meaning of learning is exchange by interdependence between interacting agents. Such agents are both the human entities and the non‐human ones. Thus, in a learning field of probabilistic events there are complex forms of interaction between the domains of mind (human cognition) and matter (world‐system). The purpose of this paper is to formalize and study such interactions by the epistemology of unity of being and becoming of relations between given variables in analytical perspective.

Design/methodology/approach

The critical argumentation and search in this paper leads to the premise of the episteme of unity of knowledge. It is found singularly in the doctrine of the paired universe of the Quran. The episteme of oneness of the monotheistic law and its consequential forms establish the axiomatic basis of the criterion function representing the phenomenon of probabilistic learning field. The authors refer to this criterion as wellbeing. It conceptualizes and measures the degree of unity of being and becoming that exists between the variables of a specific problem under investigation.

Findings

The results of this study formalize the probabilistic model of learning. The simulated evaluation of the probabilistic form of the wellbeing function brings out the synonymous results between unity of knowledge and its impact on the unity of the world‐system induced by the knowledge‐flows. Such a transformation of a world‐system presents the meaning of endogenous (or systemically self‐regenerated) ethics and morality in such broader fields of choices involving embedded learning systems.

Originality/value

The dynamics of pervasive complementarities arising from learning by unity of knowledge, and considerations of ethics and morality remain exogenous factors in economic theory. This paper, instead, has formalized ethical endogeneity in models of decision‐making with probabilistic learning fields that remain embedded in complementarities by interaction and integration across economic, social and ethical systems.

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Book part
Publication date: 15 July 2020

David Kryscynski, Russell Coff, Benjamin A. Campbell and Brittany Mallory

In the context of worker–firm complementarities, the extant literature has focused primarily on worker–firm dyads that generate additional revenue for the firm. However

Abstract

In the context of worker–firm complementarities, the extant literature has focused primarily on worker–firm dyads that generate additional revenue for the firm. However, we extend the study of worker–firm complementarities by examining matches that create value through the generation of additional nonpecuniary utility for employees. Through this lens, we hypothesize that mobile employees will receive lower wages to offset the benefits they receive from these nonpecuniary complementarities. Further, we hypothesize that star employees who create unique revenue-generating complementarities receive higher wages than otherwise predicted as they can capture a share of the additional revenue they generate. We test this conceptualization using panel data on all US National Basketball Association players from 2000 to 2009. We demonstrate that NBA players accept lower than predicted wages to play for their home teams which reflects worker utility-generating complementarities. We also show that superstars receive higher than predicted wages to play for their home teams, consistent with firm revenue-generating complementarities.

Details

Employee Inter- and Intra-Firm Mobility
Type: Book
ISBN: 978-1-78973-550-5

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Article
Publication date: 9 September 2021

Falk Heinrich and Lone Kørnøv

This study aims to contribute to the exploration of inter-disciplinary approaches in higher education for sustainability. It is a reflection on a case study linking…

Abstract

Purpose

This study aims to contribute to the exploration of inter-disciplinary approaches in higher education for sustainability. It is a reflection on a case study linking students in the arts and sustainability science, through which the inter-disciplinary and problem-solving processes for solving a concrete sustainability challenge were explored.

Design/methodology/approach

The case study featured a workshop with students from two educational programmes at Aalborg University, namely, Art and Technology and Environmental Management and Sustainability Science, the latter being an engineering programme and the former part of the humanities. Experience evaluation was based on participant observation, written feedback and the workshop facilitators’ post-event reflections. Data analysis was based on multi-grounded theory, dialectically combining empirical data (through open coding) with relevant emergence theories. Notions of emergence were chosen because the supposed benefit of inter-disciplinarity is the emergence of novel solutions to complex problems. The study investigates the concrete conditions of emergence in educational inter-disciplinary settings.

Findings

The workshop led to a successful experience, bringing an art-based approach together with sustainability science for arriving at solutions that neither of the two would have arrived at separately. Based on participant experiences and realisations, five “emergence concepts” are suggested as supportive learning criteria and conditions, namely, “knowledge expansion”, “complementarity”, “disciplinary self-reflection”, “change of practice” and “play”.

Originality/value

The findings and emergence concepts can be an inspiration for creating an effective learning environment supporting the emergence of different forms of knowledge and solution concepts for solving sustainability challenges.

Details

International Journal of Sustainability in Higher Education, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1467-6370

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Article
Publication date: 14 May 2018

Arkadiy Lukjanov, Marina Pushkareva, Zugura Rakhmatullina, Leisian Itkulova and Rufina Khanova

This paper aims to deal with the social ontology of ethnos with regard to the problem of “neutralization” of consciousness and the method of intuition.

Abstract

Purpose

This paper aims to deal with the social ontology of ethnos with regard to the problem of “neutralization” of consciousness and the method of intuition.

Design/methodology/approach

This paper relies on the observation that the epoch we live in has originated the ontology of ethnos as a “cracked subject” connected with the dissolution of “self”.

Findings

The results show that the ontology of ethnos by itself as the synthesis of natural, social and universal forces is undergoing the asymmetric synthesis of sensual individuation and the act of thinking. However, thinking as some “fold” of the existence correlates with the extended understanding of subjectivity as the dissolution of the historical consciousness.

Originality/value

This paper proposes that the new ontology of ethnos is eventually connected with the “flickering” subject, with the “flickering” of the historical thinking and with the “masks” of the historical subject itself.

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