Error bounds for the Arnoldi method: A set of extreme eigenpairs

被引：0
|
作者：
Knizhnerman, Leonid
机构：
来源：
Linear Algebra and Its Applications | / 296卷 / 01期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Exponential estimates are proved for the error of computing a finite set of extreme eigenvalues and corresponding eigenvectors of a bounded operator by means of the Arnoldi method. An analogous estimate for computation of an operator function is given. Numerical examples are presented.
引用
收藏
页码：191 / 211
相关论文
共 50 条
  • [21] Using generalization error bounds to train the set covering machine
    Hussain, Zakria
    Shawe-Taylor, John
    NEURAL INFORMATION PROCESSING, PART I, 2008, 4984 : 258 - +
  • [22] Davidson method for eigenpairs and their derivatives
    Xie, HQ
    Dai, H
    AIAA JOURNAL, 2005, 43 (06) : 1403 - 1405
  • [23] Bounds for Zp -eigenpairs of a tensor with application to geometric measure of entanglement
    Zhao, Jianxing
    Shi, Qiuhua
    COMPUTATIONAL & APPLIED MATHEMATICS, 2025, 44 (02):
  • [24] Bounds on the estimation error in the chain ladder method
    Wuethrich, Mario V.
    Merz, Michael
    Buehlmann, Hans
    SCANDINAVIAN ACTUARIAL JOURNAL, 2008, (04) : 283 - 300
  • [25] NEW ERROR BOUNDS FOR PENALTY METHOD AND EXTRAPOLATION
    KING, JT
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (02): : A313 - A313
  • [26] ERROR BOUNDS FOR COMPLEX-COORDINATE METHOD
    MCCARTOR, G
    JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (04) : 812 - 815
  • [27] A posteriori error bounds for the empirical interpolation method
    Eftang, Jens L.
    Grepl, Martin A.
    Patera, Anthony T.
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (9-10) : 575 - 579
  • [28] NEW ERROR BOUNDS FOR PENALTY METHOD AND EXTRAPOLATION
    KING, JT
    NUMERISCHE MATHEMATIK, 1974, 23 (02) : 153 - 165
  • [29] ERROR-BOUNDS FOR THE METHOD OF STEEPEST DESCENTS
    BOYD, WGC
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1993, 440 (1910): : 493 - 518
  • [30] ERROR-BOUNDS FOR FINITE ELEMENT METHOD
    BABUSKA, I
    NUMERISCHE MATHEMATIK, 1971, 16 (04) : 322 - &
12345