The method of alternating projections and the method of subspace corrections in Hilbert space

被引：188
|
作者：
Xu, JC [1 ]
Zikatanov, L [1 ]
机构：
[1] Penn State Univ, Dept Math, Ctr Computat Math & Applicat, University Pk, PA 16802 USA
来源：
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 15卷 / 03期
关键词：
alternating projections; subspace corrections; nonexpansive operators; multigrid; domain decomposition;
D O I：
10.1090/S0894-0347-02-00398-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：573 / 597
页数：25
相关论文
共 50 条
  • [1] An alternating projections method for certain linear problems in a Hilbert space
    Department of Mathematics and Computer Science, Austin Peay State University, Clarksville
    TN
    37044, United States
    [J]. IMA Journal of Numerical Analysis, 1995, 15 (02): : 291 - 305
  • [2] The subspace method in Hilbert space
    [J]. Tsuda, K., 1600, John Wiley and Sons Inc. (32):
  • [3] AN ALTERNATING PROJECTIONS METHOD FOR CERTAIN LINEAR-PROBLEMS IN A HILBERT-SPACE
    GLUNT, WK
    [J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1995, 15 (02) : 291 - 305
  • [4] A note on alternating projections in Hilbert space
    Eva Kopecká
    Simeon Reich
    [J]. Journal of Fixed Point Theory and Applications, 2012, 12 : 41 - 47
  • [5] A note on alternating projections in Hilbert space
    Kopecka, Eva
    Reich, Simeon
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2012, 12 (1-2) : 41 - 47
  • [6] The method of subspace corrections
    Xu, JC
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 128 (1-2) : 335 - 362
  • [7] Non-optimality of the Greedy Algorithm for Subspace Orderings in the Method of Alternating Projections
    Darwin, O.
    Jha, A.
    Roy, S.
    Seifert, D.
    Steele, R.
    Stigant, L.
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (1-2) : 979 - 990
  • [8] Non-optimality of the Greedy Algorithm for Subspace Orderings in the Method of Alternating Projections
    O. Darwin
    A. Jha
    S. Roy
    D. Seifert
    R. Steele
    L. Stigant
    [J]. Results in Mathematics, 2017, 72 : 979 - 990
  • [9] A variational approach to the alternating projections method
    Carlo Alberto De Bernardi
    Enrico Miglierina
    [J]. Journal of Global Optimization, 2021, 81 : 323 - 350
  • [10] Accelerating the convergence of the method of alternating projections
    Bauschke, HH
    Deutsch, F
    Hundal, H
    Park, SH
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (09) : 3433 - 3461
12345