A note on the convergence of the Weierstrass sor method for polynomial roots

被引：3

作者：

Petkovic, MS

Kjurkchiev, N

机构：

[1] UNIV NISH, FAC ELECT ENGN, YU-18000 NISH, YUGOSLAVIA

[2] BULGARIAN ACAD SCI, INST MATH, BU-1090 SOFIA, BULGARIA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 80卷 / 01期

关键词：

SOR Weierstrass method; polynomial roots; convergence;

D O I：

10.1016/S0377-0427(97)00016-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Convergence properties of the SOR Weierstrass method for the simultaneous approximation of polynomial roots are considered. The choice of acceleration parameter is discussed.

引用

页码：163 / 168

页数：6

共 9 条

[1] ABERTH O, 1973, MATH COMPUT, V27, P339, DOI 10.1090/S0025-5718-1973-0329236-7
[2] HENRICI P, 1974, APPLIED COMPUTATIONA, V1
[3] KANNO S, 1966, JAPAN J IND APPL MAT, V13, P267
[4] The behaviour of approximations of the SOR Weierstrass method
Kjurkchiev, N
Petkovic, MS
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (07) : 117 - 121
[5] INITIAL APPROXIMATIONS IN EULER-CHEBYSHEV METHOD
KJURKCHIEV, N
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 58 (02) : 233 - 236
[6] On initial conditions for the convergence of simultaneous root finding methods
Petkovic, MS
[J]. COMPUTING, 1996, 57 (02) : 163 - 177
[7] PETKOVIC MS, 1996, SCI REV, V21, P117
[8] WANG DR, 1995, J COMPUT APPL MATH, V60, P253, DOI 10.1016/0377-0427(94)00095-I
[9] Zhao Feng-Guang, 1993, Mathematica Numerica Sinica, V15, P196

← 1 →