A generalization of Gram-Schmidt orthogonalization generating all Parseval frames

被引：18
|
作者：
Casazza, Peter G.
Kutyniok, Gitta
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[2] Univ Giessen, Math Inst, D-35392 Giessen, Germany
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2007年 / 27卷 / 01期
基金：
美国国家科学基金会;
关键词：
finite-dimensional Hilbert space; Gram-Schmidt orthogonalization; linear dependence; Parseval frame; redundancy;
D O I：
10.1007/s10444-005-7478-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given an arbitrary finite sequence of vectors in a finite-dimensional Hilbert space, we describe an algorithm, which computes a Parseval frame for the subspace generated by the input vectors while preserving redundancy exactly. We further investigate several of its properties. Finally, we apply the algorithm to several numerical examples.
引用
收藏
页码：65 / 78
页数：14
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