On the Existence of Lagrange Multipliers
Bulletin of the Faculty of Education, Yamaguchi University. Natural science Volume 35 Issue 2
Page 1-10
published_at 1985-09
Title
On the Existence of Lagrange Multipliers
Creators
Nagahisa Youji
Source Identifiers
Abstraact. This paper is devoted to discuss the existence of Lagrange multiplier for an optimal solution of the nonlinear programming problem treated by J. Zowe and S. Kurcyucz. An condition, which is slighty stronger than the regularity condition introduced by them, guarantee the existence of Kuhn-Tucker vector for the optimal solution, even if the image space of constrained map is not complete. Moreover, a necessary condition of the Fritz-John style is given, under conditions introducd while the existence of Kuhn-Tucker vector is being followed.
Languages
eng
Resource Type
departmental bulletin paper
Publishers
山口大学教育学部
Date Issued
1985-09
File Version
Not Applicable (or Unknown)
Access Rights
metadata only access
Relations
[ISSN]0513-1693
[NCID]AN00243950
Schools
教育学部