In this paper we take in to considerations some classes of matrices which are generalizations of the class of K-matrices, in the terminology of Fielder and Ptàk (1962). We study the hierarchy and inclusion relations between the classes considered and we point out some economic applications

La presente nota, di intenti prevalentemente didattici, prende lo spunto dal corso di Economia Matematica tenuto dal primo degli autori presso il Dipartimento di Scienze Eco- nomiche e Aziendali dell'?Università di Pavia. Ci proponiamo, infatti, di appianare alcune difficoltà relative alla...

We give an overview on the main properties of D-stable matrices, i.e. of those square matrices $A$ for which the product DA is stable for any choice of the diagonal matrix D, with all positive diagonal elements. These matrices, introduced in economic analysis by Arrow and Mc Manus (1958), have...

We give an overview of constraint qualifications and optimality conditions for a nonlinear pro- gramming problems where the functions involved have directional derivatives defined in an axiomatic way. We consider mainly the approach of Elster and Thierfelder (1985, 1988a, 1988b) and the approach...

For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.

For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.

For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.