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[文献讨论] Computation of Generalized Matrix Inverses and Applications [推广有奖]

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nivastuli 发表于 2018-2-5 22:52:54 |显示全部楼层 |坛友微信交流群
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This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra.

The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with special reference to the calculation of {i,j,…,k} inverse and the Moore–Penrose inverse. Then, the results of LDL* decomposition of the full rank polynomial matrix are introduced, along with numerical examples. Methods for calculating the Moore–Penrose’s inverse of rational matrix are presented, which are based on LDL* and QDR decompositions of the matrix. A method for calculating the A(2)T;S inverse using LDL* decomposition using methods is derived as well as the symbolic calculation of A(2)T;S inverses using QDR factorization.

The text then offers several ways on how the introduced theoretical concepts can be applied in restoring blurred images and linear regression methods, along with the well-known application in linear systems. The book also explains how the computation of generalized inverses of matrices with constant values is performed. It covers several methods, such as methods based on full-rank factorization, Leverrier–Faddeev method, method of Zhukovski, and variations of the partitioning method.
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关键词:Applications Computation Application Generalized Generalize

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CRC Press - Computation of Generalized Matrix Inverses and Applications (2018).pdf

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Computation of Generalized Matrix Inverses and Applications

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GKINGLIU 在职认证  发表于 2018-2-6 12:48:07 |显示全部楼层 |坛友微信交流群

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