文章基本信息

标题：PROVING THE EXISTENCE OF A SINGULAR VALUE DECOMPOSITION
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作者：Zhaoyang LI
期刊名称：İktisadi İdari ve Siyasal Araştırmalar Dergisi
电子版ISSN：2564-7466
出版年度：2018
卷号：3
期号：6
页码：158-164
DOI：10.25204/iktisad.405533
语种：English
出版社：Iktisadi Idari ve Siyasal Arastirmalar Dergisi
摘要：Matrix factorization is the algorithm factorizing a matrix into the product of several matrices with particular properties. Before 1960’s,matrix factorization was only used in the linear system analysis,but in the last few decades the quickly developed algorithms of matrix factorizations have been applied to solve a variety of problems,like the regression analysis and information technologies. In this thesis,the theoretical derivation of SVD is presented. And all discussions in this work are confined to the real number realm..
其他摘要：Matris ayrışımı,karmaşık bir matrisi daha basit matrislerin çarpımına dönüştüren bir yöntemdir. 1960’lı yıllardan önce,sadece lineer sistem analizine uygulanmış olan matris ayrışımı;son yıllarda yazılım,elektronik,sinyal filtrelemesi,matris transformasyon
关键词：Singular value; decomposition; existence; proving
其他关键词：Tekil değer; ayrışım varlığı; ispat