ON A CONDITION NUMBER OF GENERAL RANDOM POLYNOMIAL SYSTEMS

被引：3
|
作者：
Nguyen, Hoi H. [1 ]
机构：
[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA
来源：
MATHEMATICS OF COMPUTATION | 2016年 / 85卷 / 298期
基金：
美国国家科学基金会;
关键词：
Singularity; condition numbers; system of equations; RANDOM MATRICES; NUMERICAL ALGORITHM; SMOOTHED ANALYSIS; BEZOUT-THEOREM; SINGULAR-VALUE; COMPLEXITY; PROBABILITY; INVERSE; INVERTIBILITY; TIME;
D O I：
10.1090/mcom/2993
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Condition numbers of random polynomial systems have been widely studied in the literature under certain coefficient ensembles of invariant type. In this note we introduce a method that allows us to study these numbers for a broad family of probability distributions. Our work also extends to certain perturbed systems.
引用
收藏
页码：737 / 757
页数：21
相关论文
共 50 条
12345