Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone inclusion problems, providing in particular both primal and dual solutions. We propose a class of strongly convergent algorithms for constructing the best approximation to a reference point from the set of Kuhn-Tucker points of a general Hilbertian composite monotone inclusion problem. Applications...

This paper is concerned with the study of necessary and sufficient optimality conditions for convex–concave fractional disjunctive programming problems for which the decision set is the union of a family of convex sets. The Lagrangian function for such problems is defined and the Kuhn–Tucker saddle and stationary points are characterized. In addition, some important theorems related to the Kuhn...

This paper presents a novel compact factored subsurface scattering representation for optically thick, heterogeneous translucent materials. Our subsurface scattering representation is a combination of Tucker-based factorization and a linear regression method. We first apply Tucker factorization on the intensity profiles of the heterogeneous subsurface scattering responses. Next, we fit a polyno...

THEWISSEN, J. G. M., E. M. WILLIAMS, L. J. ROE, AND S. T. HUSSAIN. 2001. Skeletons of terrestrial cetaceans and the relationships of whales to artiodactyls. Nature 413:277–281. TUCKER, A. S., K. L. MATHEWS, AND P. T. SHARPE. 1998 Transformation of tooth type induced by inhibition of BMP signaling. Science 282:1136–1138. TUCKER, A. S., AND P. T. SHARPE. 1999. Molecular genetics of tooth morphoge...

Vol. XLIX (February 2012), 66 –82 *Anja Lambrecht is Assistant Professor of Marketing, London Business School (e-mail: [email protected]). Catherine Tucker is Associate Professor of Marketing, MIT Sloan School of Management, Massachusetts Institute of Technology (e-mail: [email protected]). Anja Lambrecht thanks Deutsche Forschungsgemeinschaft, the London Business School Center of Marketing,...

⎯ The aim of the present work is to characterize weakly efficient solution of multiobjective programming problems under the assumptions of α-invexity, using the concepts of critical point and Kuhn-Tucker stationary point for multiobjective programming problems. In this paper, we also extend the above results to the nondifferentiable multiobjective programming problems. The use of α-invex functi...

Fritz John and Kuhn-Tucker type necessary optimality conditions for a Pareto optimal (efficient) solution of a multiobjective control problem are obtained by first reducing the multiobjective control problem to a system of single objective control problems, and then using already established optimality conditions. As an application of Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir ...

Many independent nations with strong tourism economies have colonial pasts. In parts of Africa and Asia, former colonial powers have left post-colonial legacies of language, buildings, trade and diplomatic links, and government bureaucratic structures (Ashcroft, Griffiths, & Tiffin, 2007; Sharp, 2009; Zein-Alabdin, 2009). There are also strong postcolonial influences on tourism (Carrigan, 2011;...

This paper is concerned with the study of duality conditions to convex-concave generalized multiobjective fuzzy nonlinear fractional disjunctive programming problems for which the decision set is the union of a family of convex sets. The Lagrangian function for such problems is defined and the Kuhn-Tucker Saddle and Stationary points are characterized. In addition, some important theorems relat...

Higher order tensor model has been seen as a potential mathematical framework to manipulate the multiple factors underlying the observations. In this paper, we propose a flexible two stage algorithm for K-mode Convolutive Nonnegative Tucker Decomposition (K-CNTD) model by an alternating least square procedure. This model can be seen as a convolutive extension of Nonnegative Tucker Decomposition...