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Product Details 基本信息 ISBN-13 书号 9780821804735 Author 作者 Wayne W. Barrett Format 版本 平装-胶订 Pages Number 页数 69页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 1996-07-02 Language 语种 英语 Book Contents 内容简介 Given a partial symmetric matrix, the positive definite completion problem asks if the unspecified entries in the matrix can be chosen so as to make the resulting matrix positive definite. Applications include probability and statistics, image enhancement, systems engineering, geophysics, and mathematical programming. The positive definite completion problem can also be viewed as a mechanism for addressing a fundamental problem in Euclidean geometry: which potential geometric configurations of vectors (i.e., configurations with angles between some vectors specified) are realizable in a Euclidean space. The positions of the specified entries
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