MIXED, COMPONENTWISE, AND STRUCTURED CONDITION NUMBERS

被引：99
|
作者：
GOHBERG, I [1 ]
KOLTRACHT, I [1 ]
机构：
[1] UNIV CONNECTICUT,DEPT MATH,STORRS,CT 06269
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1993年 / 14卷 / 03期
关键词：
CONDITION NUMBER; COMPONENTWISE ERROR; STRUCTURE; TOEPLITZ MATRIX; VANDERMONDE MATRIX;
D O I：
10.1137/0614049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Mixed, componentwise, and structured condition numbers for continuous maps in finite-dimensional spaces are introduced. For differentiable maps, convenient formulas for the estimation of such condition numbers are given and illustrated on the example of Toeplitz matrices. Applications to Vandermonde matrices are also presented.
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页码：688 / 704
页数：17
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