# Accession Number:

## ADA063982

# Title:

## Equivalence of Linear Complementarity Problems and Linear Programs in Vector Lattice Hilbert Spaces.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1978-10-01

# Pagination or Media Count:

## 34.0

# Abstract:

Let X be a vector lattice Hilbert space with dual X. Let M be a continuous linear mapping of X onto X. Let p, q elements of X with p 0r 0. We consider the relationship between the linear complementarity problem Find x elements of X such that x or 0, Mx q or 0, x, Mx q 0, and the linear programming problem Find x element of X which minimizes x,p subject to or 0, Mx q or 0. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Fluid Mechanics