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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Spark (mathematics) ： ウィキペディア英語版 Spark (mathematics) In mathematics, specifically in linear algebra, the spark of a matrix ''A'' is the smallest number ''n'' such that there exists a set of ''n'' columns in ''A'' which are linearly dependent. Formally, :$\backslash mathrm(A)\; =\; \backslash min\_\; \backslash |d\backslash |\_0\; \backslash text\; A\; d\; =\; 0.$ By contrast, the rank of a matrix is the largest number ''k'' such that some set of ''k'' columns of ''A'' is linearly independent. The concept of the spark is of use in the theory of compressive sensing, where requirements on the spark of the measurement matrix are used to ensure stability and consistency of various estimation techniques. It is also known in matroid theory as the girth of the vector matroid associated with the columns of the matrix. The spark of a matrix is NP-hard to compute. == References == 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「Spark (mathematics)」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.