Abstract. The object of this paper is to obtain some strong subordination results regarding a new class S m n (α, β, ρ) defined by using a new generalized multiplier transformation.

The general multiplicative model (formula (2)) represents the hazard function as the product of an “underlying ” hazard rate, A(t), of unspecified form and a certain function of known form, g(z; 8), where z is a vector of concomitant variables, and ~ is a vector of unknown parameters. Assuming

and time consuming process. The work described here can help in automating much of this process. We will concentrate our e orts on the widely used linear algebra kernels called the Basic Linear Algebra Subroutines (BLAS). In particular, the work presented here is for general matrix multiply, DGEMM. However

A new combined analysis and synthesis procedure that provides a less conservative robust control design technique for systems with real parametric uncertainty is presented. The robust stability for these systems is analysed by the passivity theorem with generalized multipliers, and the worst case H

ABSTRACT-In an introductory review it is reemphasized that the large-scale parameterization of the surface fluxes of sensible and latent heat is properly expressed in terms of energetic considerations over land while formulas of the bulk aerodynamic type are most suitable over the sea. A general

Using the stress function in the flow of generalized

Abstract not found

general multiplier method.

and compared to the Lagrange multiplier test of Breusch and Pagan using Monte Carlo experiments. It is shown that the tests have the correct size in very small samples and satisfactory power, and as predicted by the theory, quite robust to the presence of unit roots and structural breaks. The use of the CD

-theoretic role of multiplier vectors as solutions to a dual problem. Interpretations as generalized derivatives of the optimal value with respect to problem parameters have also been explored. Lagrange multipliers are now being seen as arising from a general rule for the subdifferentiation of a nonsmooth