On the matrix square root

被引：0

作者：

Lakic, S

Petkovic, MS

机构：

[1] Univ Nis, Fac Elect Engn, Dept Math, YU-18000 Nis, Yugoslavia

[2] Tech Fac Mihajlo Pupin, YU-23000 Zrenjamin, Yugoslavia

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1998年 / 78卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents two third order iterative methods to compute a square root of a given real or complex matrix with real nonnegative eigenvalues. Conditions for the convergence of these methods are studied. and their numerical stability properties are analyzed. Numerical examples are given and compared with some other methods.

引用

页码：173 / 182

页数：10

共 50 条

[31] FASTER METHOD OF COMPUTING SQUARE ROOT OF A MATRIX
HOSKINS, WD
WALTON, DJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (03) : 494 - 495
[32] Iterative methods for computing the matrix square root
Amat S.
Ezquerro J.A.
Hernández-Verón M.A.
SeMA Journal, 2015, 70 (1) : 11 - 21
[33] A bound for the matrix square root with application to eigenvector perturbation
Mathias, R
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1997, 18 (04) : 861 - 867
[34] A one parameter method for the matrix inverse square root
Lakić S.
Applications of Mathematics, 1997, 42 (6) : 401 - 410
[35] Numerical approximation of the product of the square root of a matrix with a vector
Allen, EJ
Baglama, J
Boyd, SK
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 310 (1-3) : 167 - 181
[36] FINDING OF THE SQUARE ROOT OF THE POSITIVE-DETERMINED MATRIX
LARIN, VB
DOKLADY AKADEMII NAUK SSSR, 1991, 320 (03): : 536 - 538
[37] Newton's Method for the Matrix Nonsingular Square Root
Li, Chun-Mei
Shen, Shu-Qian
JOURNAL OF APPLIED MATHEMATICS, 2014,
[38] A manual approach for calculating the root of square matrix of dimension ≤ ∋
Nazari A.
Fereydooni H.
Bayat M.
Mathematical Sciences, 2013, 7 (1)
[39] Enclosing the square root of a positive definite symmetric matrix
Gupta, DK
Kaul, CN
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1999, 71 (01) : 105 - 115
[40] CALCULATION OF THE SQUARE ROOT OF A POSITIVE-DEFINITE MATRIX
LARIN, VB
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 1992, 30 (06) : 141 - 145

← 1 2 3 4 5 →