IMPROVING SPECTRAL-VARIATION BOUNDS WITH CHEBYSHEV POLYNOMIALS

被引：7
|
作者：
PHILLIPS, D
机构：
[1] Davis Hibbard Mayer Norton and Phillips, Inc., Middleton, WI 53562
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1990年 / 133卷
关键词：
D O I：
10.1016/0024-3795(90)90247-A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new spectral-variation bound is established for linear operators A and B on finite-dimensional vector spaces. This bound is v(A,B)≤c{norm of matrix}A-B{norm of matrix} 1 n({norm of matrix}A{norm of matrix} + {norm of matrix}B{norm of matrix}) (n-1) n with c<8. This result affirmatively answers a conjecture of Friedland. © 1990.
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页码：165 / 173
页数：9
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