This paper contains the following results for ecohomies with infinite dimensional commodity spaces. (i) We establish a core-Walras equivalence theorem for economies with an atomless measure space of agents and with an ordered separable Banach commodity space whose positive cone has a non-empty norm interior. This result includes as a special case the Aumann (1964) and Schmeidler-Hildenbrand [Hi...

A primal-dual interior point method for optimal control problems is considered. The algorithm is directly applied to the infinite dimensional problem. Existence and convergence of the central path are analyzed, and linear convergence of a short step pathfollowing method is established.

This paper presents a garbage compaction algorithm, which extends the well-known algorithm of Jonkers with the ability to handle interior pointers. It is as efficient as Jonkers’ algorithm in the absence of interior pointers, and in practice only slightly less efficient in the presence of interior pointers, while at the same time, it does not impose any additional space overhead. This, however,...

This paper presents a geometric interpretation of the Spiral Array model and its comparison to Lerdahl's Tonal Pitch Space and Krumhansl's spatial representation of pitch relations. The Spiral Array model is derived from a three-dimensional configuration of the Harmonic Network. The fundamental idea underlying the model is the representing of higher-level objects in the spiral's interior as con...