On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations

被引：0
|
作者：
Yukhno L.F. [1 ]
机构：
[1] Institute of Mathematical Modeling, Russian Academy of Sciences, Moscow 125047
来源：
Computational Mathematics and Mathematical Physics | 2007年 / 47卷 / 11期
基金：
俄罗斯基础研究基金会;
关键词：
Conjugate direction method; Numerical stability; System of linear algebraic equations;
D O I：
10.1134/S0965542507110012
中图分类号：
学科分类号：
摘要：
A modification of certain well-known methods of the conjugate direction type is proposed and examined. The modified methods are more stable with respect to the accumulation of round-off errors. Moreover, these methods are applicable for solving ill-conditioned systems of linear algebraic equations that, in particular, arise as approximations of ill-posed problems. Numerical results illustrating the advantages of the proposed modification are presented. © 2007 Pleiades Publishing, Ltd.
引用
收藏
页码：1737 / 1744
页数：7
相关论文
共 25 条
  • [11] A conjugate direction method for linear systems in Banach spaces
    Herzog, Roland
    Wollner, Winnifried
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2017, 25 (05): : 553 - 572
  • [12] Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations
    Yu, Quanhong
    Tian, Hongjiong
    Kuang, Jiaoxun
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (04) : 816 - 835
  • [13] A new Monte Carlo method for solving system of linear algebraic equations
    Fathi-Vajargah, Behrouz
    Hassanzadeh, Zeinab
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 159 - 179
  • [14] A Projection Method for Solving Systems of Linear Equations: Gravimetry Applications
    Agayan, S. M.
    Bogoutdinov, Sh. R.
    Bulychev, A. A.
    Soloviev, A. A.
    Firsov, I. A.
    DOKLADY EARTH SCIENCES, 2020, 493 (01) : 530 - 534
  • [15] A Projection Method for Solving Systems of Linear Equations: Gravimetry Applications
    S. M. Agayan
    Sh. R. Bogoutdinov
    A. A. Bulychev
    A. A. Soloviev
    I. A. Firsov
    Doklady Earth Sciences, 2020, 493 : 530 - 534
  • [16] Iterative refinement techniques for solving block linear systems of equations
    Smoktunowicz, Alicja
    Smoktunowicz, Agata
    APPLIED NUMERICAL MATHEMATICS, 2013, 67 : 220 - 229
  • [17] The stability of linear multistep methods for linear systems of neutral differential equations
    Tian, HJ
    Kuang, JX
    Qiu, L
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 19 (02) : 125 - 130
  • [18] THE STABILITY OF LINEAR MULTISTEP METHODS FOR LINEAR SYSTEMS OF NEUTRAL DIFFERENTIAL EQUATIONS
    Hong-jiong Tian (Department of Mathematics
    Journal of Computational Mathematics, 2001, (02) : 125 - 130
  • [19] Numerical Solution of Systems of Linear Algebraic Equations with Ill-Conditioned Matrices
    A. V. Lebedeva
    V. M. Ryabov
    Vestnik St. Petersburg University, Mathematics, 2019, 52 : 388 - 393
  • [20] Numerical Solution of Systems of Linear Algebraic Equations with Ill-Conditioned Matrices
    Lebedeva, A. V.
    Ryabov, V. M.
    VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2019, 52 (04) : 388 - 393
123