G-matrices for algebraically stable general linear methods

被引:0
|
作者
A. T. Hill
机构
[1] University of Bath,Department of Mathematical Sciences
来源
Numerical Algorithms | 2010年 / 53卷
关键词
General linear methods; -matrix; 65L06; 65L20;
D O I
暂无
中图分类号
学科分类号
摘要
This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.
引用
收藏
页码:281 / 292
页数:11
相关论文
共 50 条
  • [41] Conserved G-matrices of morphological and life-history traits among continental and island blue tit populations
    B Delahaie
    A Charmantier
    S Chantepie
    D Garant
    M Porlier
    C Teplitsky
    Heredity, 2017, 119 : 76 - 87
  • [42] Multisplitting Iterative Methods with General Weighting Matrices for Solving Symmetric Positive Linear Complementarity Problem
    Duan, Ban-xiang
    Yu, Ai-min
    2017 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM), 2017, : 293 - 297
  • [43] CONVERGENCE ON GAUSS-SEIDEL ITERATIVE METHODS FOR LINEAR SYSTEMS WITH GENERAL H-MATRICES
    Zhang, Cheng-yi
    Ye, Dan
    Zhong, Cong-Lei
    Luo, Shuanghua
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2015, 30 : 843 - 870
  • [44] G-symplectic second derivative general linear methods for Hamiltonian problems
    Nasab, M. Hosseini
    Hojjati, G.
    Abdi, A.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 313 : 486 - 498
  • [45] Can invasions occur without change? A comparison of G-matrices and selection in the peach-potato aphid, Myzus persicae
    Bacigalupe, Leonardo D.
    Barrientos, Karin
    Beckerman, Andrew P.
    Carter, Mauricio J.
    Figueroa, Christian C.
    Foster, Stephen P.
    Moore, Allen J.
    Silva, Andrea X.
    Nespolo, Roberto F.
    ECOLOGY AND EVOLUTION, 2013, 3 (15): : 5109 - 5118
  • [47] Order results for algebraically stable mono-implicit Runge-Kutta methods
    Xiao, AG
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 17 (06) : 639 - 644
  • [48] On the order of general linear methods
    Constantinescu, Emil M.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (09) : 1425 - 1428
  • [49] General linear methods with projection
    Habib, Yousaf
    Mustafa, Lubna
    APPLIED NUMERICAL MATHEMATICS, 2021, 161 : 46 - 51
  • [50] Symmetric general linear methods
    Butcher, J. C.
    Hill, A. T.
    Norton, T. J. T.
    BIT NUMERICAL MATHEMATICS, 2016, 56 (04) : 1189 - 1212