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

页码：191 / 211

共 50 条

[31] Davidson method for eigenpairs and their derivatives
Xie, Huiqing
Dai, Hua
[J]. AIAA Journal, 2005, 43 (06): : 1403 - 1405
[32] Tight error bounds for projection algorithms in conditional set membership estimation
Garulli, A.
[J]. Systems and Control Letters, 1999, 37 (05): : 293 - 300
[33] Tight error bounds for projection algorithms in conditional set membership estimation
Garulli, A
[J]. SYSTEMS & CONTROL LETTERS, 1999, 37 (05) : 293 - 300
[34] Error bounds for conditional algorithms in restricted complexity set membership identification
Garulli, A
Kacewicz, B
Vicino, A
Zappa, G
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (01) : 160 - 164
[35] SOME SUFFICIENT CONDITIONS FOR ERROR BOUNDS OF γ-PARACONVEX MULTIFUNCTIONS WITH SET CONSTRAINTS
Yang, Ming-Ge
Huang, Nan-Jing
Xiao, Yi-Bin
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (12) : 2109 - 2127
[36] CALCULATION OF LOWER BOUNDS ON ERROR PROBABILITY FOR A SET OF SIGNALS ON GAUSSIAN CHANNEL
INGEMARSSON, I
[J]. ERICSSON TECHNICS, 1971, 27 (02): : 41 - +
[37] Error bounds and improved probability estimation using the maximum likelihood set
Karakos, Damianos
Khudanpur, Sanjeev
[J]. 2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7, 2007, : 1851 - 1855
[38] Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG
Meurant, Gerard
Tichy, Petr
[J]. NUMERICAL ALGORITHMS, 2019, 82 (03) : 937 - 968
[39] Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG
Gérard Meurant
Petr Tichý
[J]. Numerical Algorithms, 2019, 82 : 937 - 968
[40] Multiple extremal eigenpairs by the power method
Gubernatis, J. E.
Booth, T. E.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (19) : 8508 - 8522

← 1 2 3 4 5 →