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

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE