On Newton’s method and Halley’s method for the principal <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>th root of a matrix-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On Newton’s method and Halley’s method for the principal pth root of a matrix

Published:2010-04 Issue:8 Volume:432 Page:1905-1922
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Guo Chun-Hua

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference16 articles.

1. Inequalities for M-matrices;Ando;Linear and Multilinear Algebra,1980

2. Algorithms for the matrix pth root;Bini;Numer. Algorithms,2005

3. A Schur method for the square root of a matrix;Björck;Linear Algebra Appl.,1983

4. Analytic functions of M-matrices and generalizations;Fiedler;Linear and Multilinear Algebra,1983

5. A Schur–Newton method for the matrix pth root and its inverse;Guo;SIAM J. Matrix Anal. Appl.,2006

Cited by 33 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Computation of matrix pth roots using moments;Journal of Computational and Applied Mathematics;2024-12

2. Self-Supervised Node Representation Learning via Node-to-Neighbourhood Alignment;IEEE Transactions on Pattern Analysis and Machine Intelligence;2024-06

3. ROOTS OF TRIANGULAR MATRICES;PUNJAB UNIV J MATH;2023

4. Exploiting a higher‐order scheme for matrix square root and its inverse simultaneously;Mathematical Methods in the Applied Sciences;2022-10-17

5. Explicit p-dependent convergence regions of Newton’s method for the matrix pth root;Applied Mathematics Letters;2021-12

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP