On Conditions for Optimality in Least pth Approximation with p -> infinity

被引：7

作者：

Bandler, J. W. ^{[1
]}

Charalambous, C. ^{[1
]}

机构：

[1] McMaster Univ, Dept Elect Engn, Hamilton, ON, Canada

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1973年 / 11卷 / 05期

关键词：

D O I：

10.1007/BF00935666

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper presents a theoretical discussion of the necessary and sufficient conditions for optimality in generalized nonlinear least pth approximation problems for p -> infinity. In the limit, the conditions for a minimax approximation are derived, as is to be expected. Numerical examples involving the modeling of a linear time-invariant fourth-order system by a second-order model and the design of quarter-wave transmission-line transformers illustrate the results,

引用

页码：556 / 566

页数：11