COMPACT BASIS TRIANGULARIZATION FOR THE BLOCK ANGULAR STRUCTURES.

Abstract

Dantzig has shown in (AD-286 897) how a triangularized substitute inverse could be used in a staircase structured linear program. The present note is motivated by the same approach but applied to block angular structures. Block angular structures have special properties which can effectively be used to update the triangularized substitute inverse and the compact E-structure. The method of updating consists of performing a cyclic permution and a set of elementary operations on both the present T and the E-structure to obtain the new T and new E-structure. This paper presents the special properties and the method of updating. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0630120

Entities

People

  • Romesh Saigal

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Convex Programming
  • Interdisciplinary Science
  • Linear Programming
  • Mathematical Programming
  • Mathematics

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  • Linear Algebra
  • Operations Research