ON A CLASS OF HIGHER-ORDER METHODS FOR SIMULTANEOUS ROOTFINDING OF GENERALIZED POLYNOMIALS

被引：5
|
作者：
CARSTENSEN, C [1 ]
REINDERS, M [1 ]
机构：
[1] UNIV HANNOVER,INST MATH,W-3000 HANNOVER 1,GERMANY
来源：
NUMERISCHE MATHEMATIK | 1993年 / 64卷 / 01期
关键词：
D O I：
10.1007/BF01388681
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the argument principle higher order methods for simultaneous computation of all zeros of generalized polynomials (like algebraic, trigonometric and exponential polynomials or exponential sums) are derived. The methods can also be derived following the continuation principle from [3]. Thereby, the unified approach of [7] is enlarged to arbitrary order N. The local convergence as well as a-priori and a-posteriori error estimates for these methods are treated on a general level. Numerical examples are included.
引用
收藏
页码：69 / 84
页数：16
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