Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (1): 8-13.
• Articles • Previous Articles Next Articles
CHEN Chao-Rong, LI Wen
Online:
Published:
Supported by:
广东省自然科学基金资助课题
Abstract:
该文对一类广义对角占优矩阵M,给出了迭代矩阵M-1N 的谱半径的上界.特别,当M是严格对角占优时,证明了所得到的估计值总比通常用作谱半径的估计值要好.
Key words: 迭代矩阵, 谱半径, 上界, Nekrasov矩阵.
CLC Number:
CHEN Chao-Rong, LI Wen. Estimates of Upper Bounds of the Spectral Radius for Some Iteration Matrix[J].Acta mathematica scientia,Series A, 2001, 21(1): 8-13.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I1/8
1 HuJiagan.Estimatesof‖犅-1犃‖∞ andtheirapplication.MathNumerSinica,1982,4(3):272-282 2 HuJiagan.Upperboundsofthespectralradialofsomeiterativematrices.JComputerMath,1990,8(2):118-127 3 WangXinmin.Theupperboundofthespectralradiusof犕-1犖andconvergenceofsomeiterativemethods.InternalJ ComputerMath,1994,53:203-217 4 胡家赣.线性代数方程组的迭代解法.北京:科学出版社,1997 5 JamesK R.Convergenceofmatrixiterationsubjecttodiagonal.SiamJNumericalAnal,1973,10:478-484 6 JamesK R,RihaW.Convergencecriteriaforsuccessiveoverrelaxation.SiamJNumericalAnal,1975,12(2):137- 1437 YongXR.Twopropertiesofdiagonallydominantmatrices.NumericalLinAlgAppl,1996,3(2):173-177 8 SzulcT.Someremarksonatheoremofgudkov.LinAlgAppl,1995,225:221-235 9 LiWen.OnNekrasovmatrices.LinAlgAppl,1998,218:87-96 10 张谋成,黎稳.非负矩阵论.广州:广东高等教育出版社,1995
Cited
Iterative Solution for Systems of a Class of Abstract Operator Equations and Applications
Solutions of Initial Value Problems for Second-order Nonlinear Impulsive Integro-differential Equations
The Existence of Infinitely Many Solutions for an Elliptic
Equation Involving Critical Sobolev-Hardy Exponent
with Neumann Boundary Condition