ANOTHER NOTE ON THE VON NEUMANN ALTERNATING PROJECTIONS ALGORITHM

被引：0

作者：

Kopecka, Eva ^{[1
,2
]}

Reich, Simeon ^{[3
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CZ-11567 Prague, Czech Republic

[2] Johannes Kepler Univ Linz, Inst Anal, A-4040 Linz, Austria

[3] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2010年 / 11卷 / 03期

基金：

以色列科学基金会;

关键词：

Alternating orthogonal projections; Hilbert space; orthogonal decomposition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present another elementary geometric proof of von Neumann's classical convergence theorem regarding alternating orthogonal projections in Hilbert space. In contrast with previous proofs, this time our argument is based on the two-dimensional case.

引用

页码：455 / 460

页数：6

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