In the first part of this paper, we implement the multiplier algebra of the dual of an algebraic quantum group (A, ∆) (see [13]) as a subset of the space of linear functionals on A. In a second part, we construct the universal corepresentation and use it to prove a bijective corespondence between corepresentations of (A, ∆) and homomorphisms on its dual.

We show an inequality involving the third largest or second smallest dual eigenvalues of Q-polynomial association schemes of class at least three. Also we characterize dual-tight Q-polynomial association schemes of class three. Our method is based on tridiagonal matrices and can be applied to distance-regular graphs as well.

OBJECTIVE The objective of our study was to evaluate a new 3D fast spoiled gradient-recalled echo (FSPGR) sequence referred to as modified liver acceleration volume acquisition (LAVA) for high-resolution gadolinium-enhanced dual arterial phase liver MRI and to determine the effect of this technique on the timing of the contrast bolus and lesion detection. MATERIALS AND METHODS Gadolinium-enha...

A new primal-dual algorithm is proposed for the minimization of non-convex objective functions subject to general inequality and linear equality constraints. The method uses a primal-dual trust-region model to ensure descent on a suitable merit function. Convergence is proved to second-order critical points from arbitrary starting points. Numerical results are presented for general quadratic pr...

In this paper, a pair of Wolfe type nondifferentiable second order symmetric minimax mixed integer dual problems is formulated. Symmetric and self-duality theorems are established under η1bonvexity/η2-boncavity assumptions. Several known results are obtained as special cases. Examples of such primal and dual problems are also given.

In this paper, we are concerned with nonlinear minimization problems with second order cone constraints. A primal-dual interior point method is proposed for solving the problems. We also propose a new primal-dual merit function by combining the barrier penalty function and the potential function within the framework of the line search strategy, and show the global convergence property of our me...