翻訳と辞書
Words near each other
・ Mutya han Samar 2005
・ Mutya Johanna Datul
・ Mutya Keisha Siobhan
・ Mutya ng Pilipinas
・ Mutya ng Pilipinas 2000
・ Mutya ng Pilipinas 2001
・ Mutya ng Pilipinas 2002
・ Mutya ng Pilipinas 2003
・ Mutya ng Pilipinas 2004
・ Mutya ng Pilipinas 2005
・ Mutual Blackbird
・ Mutual Broadcasting System
・ Mutual Building
・ Mutual capacitance
・ Mutual coherence
Mutual coherence (linear algebra)
・ Mutual coherence (physics)
・ Mutual combat
・ Mutual Construction Co v Komati Dam Joint Venture
・ Mutual Core
・ Mutual credit
・ Mutual Defense Assistance Act
・ Mutual Defense Treaty (United States – Philippines)
・ Mutual Defense Treaty Between the United States and the Republic of Korea
・ Mutual engagement
・ Mutual exchange
・ Mutual exclusion
・ Mutual exclusivity
・ Mutual exclusivity (psychology)
・ Mutual Feeling


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Mutual coherence (linear algebra) : ウィキペディア英語版
Mutual coherence (linear algebra)
In linear algebra, the coherence or mutual coherence of a matrix ''A'' is defined as the maximum absolute value of the cross-correlations between the columns of ''A''.
Formally, let a_1, \ldots, a_m\in ^d be the columns of the matrix ''A'', which are assumed to be normalized such that a_i^H a_i = 1. The mutual coherence of ''A'' is then defined as〔〔
:M = \max_ \left| a_i^H a_j \right|.
A lower bound is
: M\ge \sqrt}
A deterministic matrix with the mutual coherence almost meeting the lower bound can be constructed by Weil's theorem.
The concept was introduced in a slightly less general framework by David Donoho and Xiaoming Huo, and has since been used extensively in the field of sparse representations of signals. In particular, it is used as a measure of the ability of suboptimal algorithms such as matching pursuit and basis pursuit to correctly identify the true representation of a sparse signal.〔〔
== See also ==

*Compressed sensing
*Restricted isometry property

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Mutual coherence (linear algebra)」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.